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Author ID: tian.bo Recent zbMATH articles by "Tian, Bo"
Published as: Tian, Bo; Tian, B.
External Links: dblp
Documents Indexed: 276 Publications since 1995
Co-Authors: 110 Co-Authors with 271 Joint Publications
3,377 Co-Co-Authors
all top 5

Co-Authors

3 single-authored
44 Jiang, Yan
44 Liu, Wenjun J.
41 Xu, Tao
38 Gao, Yitian
37 Zhang, Haiqiang
32 Meng, Xianghua
30 Lü, Xing
28 Li, Min
28 Wang, Pan
27 Qu, Qixing
24 Sun, Wen-Rong
22 Sun, Kun
20 Li, Juan
18 Liu, Lei
17 Zhen, Hui-Ling
15 Shan, Wenrui
14 Chai, Jun
14 Li, Lili
14 Wang, Ming
14 Wu, Xiaoyu
14 Xie, Xi-Yang
14 Zhu, Hongwu
13 Sun, Ya
13 Yuan, Yu-Qiang
13 Zhang, Chun-Yi
12 Chai, Han-Peng
12 Du, Zhong
12 Sun, Yan
12 Xue, Yushan
11 Qi, Fenghua
11 Qin, Bo
11 Wang, Yufeng
11 Yin, Hui-Min
11 Zhang, Cheng
11 Zhao, Xue-Hui
10 Guo, Rui
10 Li, He
10 Zhang, Chen-Rong
10 Zhang, Yaxing
8 Cai, Kejie
8 Liu, Li-Cai
7 Wang, Yun-Po
7 Zhang, Huan
6 Chen, Su-Su
6 Du, Xia-Xia
6 Geng, Tao
6 Liu, De-Yin
6 Tian, He-Yuan
6 Zhong, Hui
5 Hu, Cong-Cong
5 Liu, Rong-Xiang
5 Xiao, Jinghua
5 Yao, Zhen-Zhi
4 Li, Hongzhe
4 Lin, Zhiqiang
4 Sun, Zhiyuan
4 Zhang, Ze
4 Zhao, Xinchao
3 Ai, Wenbao
3 Feng, Qian
3 Hu, Wei
3 Liu, Shaohua
3 Tan, Zhao
3 Yang, Zai-Chun
2 Chen, Yuqi
2 Guan, Yue-Yang
2 Huang, Zhi-Ruo
2 Wang, Lei
2 Wei, Guangmei
2 Yan, Tian-Zhong
2 Yu, Xin
2 Zhan, Yan
2 Zhao, Xin
1 Bhattacharya, Subhrajit
1 Cheng, Chong-Dong
1 Chu, Mei-Xia
1 Ding, Zhongjun
1 Feng, Yuan-Long
1 Ga, Yi-Tian
1 Gao, Xiao-Tian
1 Gao, Yitan
1 Gao, Yitiann
1 Guo, Lei
1 Guo, Yongjiang
1 Hong, Woo-Pyo
1 Hu, Maobin
1 Jia, Bin
1 Jian, Yan
1 Jiang, Rui
1 Lei, Ming
1 Li, Huimin
1 Li, Wei
1 Li, Wei
1 Li, Wenshuo
1 Li, Yezhou
1 Liu, Jian Guo
1 Liu, Xing
1 Ma, Yong-xin
1 Mo, Huixia
1 Shen, Yujia
...and 10 more Co-Authors
all top 5

Serials

24 Communications in Nonlinear Science and Numerical Simulation
24 Communications in Theoretical Physics
19 Computers & Mathematics with Applications
18 Nonlinear Dynamics
18 Physica Scripta
16 International Journal of Modern Physics B
16 Applied Mathematics Letters
15 Physics Letters. A
12 Chaos, Solitons and Fractals
12 Applied Mathematics and Computation
8 Journal of Mathematical Analysis and Applications
8 Journal of Mathematical Physics
8 Annals of Physics
7 Journal of Modern Optics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Journal of Physics A: Mathematical and Theoretical
5 International Journal of Modern Physics C
4 Acta Mechanica
4 Wave Motion
4 Studies in Applied Mathematics
4 International Journal of Computer Mathematics
4 Nonlinear Analysis. Real World Applications
3 Physica A
3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
3 Waves in Random and Complex Media
2 Modern Physics Letters A
2 Computer Physics Communications
2 International Journal of Theoretical Physics
2 SIAM Journal on Applied Mathematics
2 Chaos
1 Modern Physics Letters B
1 IMA Journal of Applied Mathematics
1 International Journal of Engineering Science
1 Journal of the Franklin Institute
1 Zeitschrift fuer Naturforschung, A: Physical Sciences
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Applied Numerical Mathematics
1 Journal of Physics A: Mathematical and General
1 Mathematical Problems in Engineering
1 Acta Mathematica Sinica. English Series
1 Czechoslovak Journal of Physics
1 Journal of Nonlinear Mathematical Physics
1 Acta Mechanica Sinica
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Publications by Year

Citations contained in zbMATH Open

208 Publications have been cited 1,356 times in 665 Documents Cited by Year
Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation. Zbl 1160.37401
Tian, Bo; Wei, Guang-Mei; Zhang, Chun-Yi; Shan, Wen-Rui; Gao, Yi-Tian
49
2006
Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas. Zbl 1197.82028
Tian, Bo; Gao, Yi-Tian
43
2007
Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation. Zbl 1203.81067
Tian, Bo; Gao, Yi-Tian; Zhu, Hong-Wu
43
2007
Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers. Zbl 1222.78043
Tian, Bo; Gao, Yi-Tian
39
2005
Reply to: “Comment on: ‘Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation’ ” [Phys. Lett. A 361 (2007) 520]. Zbl 1325.35192
Gao, Yi-Tian; Tian, Bo
38
2007
Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation. Zbl 1145.35451
Tian, Bo; Gao, Yi-Tian
37
2005
Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics. Zbl 0976.65092
Gao, Yitian; Tian, Bo
34
2001
Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications. Zbl 1128.35385
Lü, Xing; Zhu, Hong-Wu; Meng, Xiang-Hua; Yang, Zai-Chun; Tian, Bo
31
2007
On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation. Zbl 1145.35452
Tian, Bo; Gao, Yi-Tian
30
2005
Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications. Zbl 1155.35455
Lü, Xing; Zhu, Hong-Wu; Yao, Zhen-Zhi; Meng, Xiang-Hua; Zhang, Cheng; Zhang, Chun-Yi; Tian, Bo
26
2008
Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations. Zbl 1384.35110
Yuan, Yu-Qiang; Tian, Bo; Liu, Lei; Wu, Xiao-Yu; Sun, Yan
25
2018
Lax pair, Bäcklund transformation and \(N\)-soliton-like solution for a variable-coefficient Gardner equation from nonlinear lattice, plasma physics and ocean dynamics with symbolic computation. Zbl 1128.35378
Li, Juan; Xu, Tao; Meng, Xiang-Hua; Zhang, Ya-Xing; Zhang, Hai-Qiang; Tian, Bo
25
2007
Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation. Zbl 1188.35184
Zhang, Hai-Qiang; Tian, Bo; Meng, Xiang-Hua; Lü, Xing; Liu, Wen-Jun
22
2009
Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber. Zbl 1390.35323
Du, Zhong; Tian, Bo; Chai, Han-Peng; Sun, Yan; Zhao, Xue-Hui
20
2018
Beyond travelling waves: A new algorithm for solving nonlinear evolution equations. Zbl 0923.65068
Tian, Bo; Gao, Yi-Tian
20
1996
Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations. Zbl 1234.35259
Zhang, Hai-Qiang; Tian, Bo; Lü, Xing; Li, He; Meng, Xiang-Hua
18
2009
Generalized tanh method with symbolic computation and generalized shallow water wave equation. Zbl 0873.76061
Gao, Yitian; Tian, Bo
17
1997
Symbolic computation on generalized Hopf-Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics. Zbl 1231.76224
Xu, Tao; Zhang, Chun-Yi; Li, Juan; Meng, Xiang-Hua; Zhu, Hong-Wu; Tian, Bo
16
2007
Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms. Zbl 1247.35107
Lü, Xing; Tian, Bo; Zhang, Hai-Qiang; Xu, Tao; Li, He
16
2012
Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber. Zbl 07171830
Zhang, Chen-Rong; Tian, Bo; Qu, Qi-Xing; Liu, Lei; Tian, He-Yuan
16
2020
Solitons, Bäcklund transformation, and Lax pair for the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation for the water waves. Zbl 1309.76036
Jiang, Yan; Tian, Bo; Liu, Wen-Jun; Li, Min; Wang, Pan; Sun, Kun
15
2010
Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles. Zbl 1443.76233
Wang, Meng; Tian, Bo; Sun, Yan; Zhang, Ze
15
2020
Lax pair and Darboux transformation for multi-component modified Korteweg-de Vries equations. Zbl 1144.82007
Zhang, Hai-Qiang; Tian, Bo; Xu, Tao; Li, He; Zhang, Cheng; Zhang, Huan
15
2008
Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one tau-function. Zbl 1239.35132
Lü, Xing; Tian, Bo; Qi, Feng Hua
14
2012
Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves. Zbl 1433.35302
Wang, Pan; Tian, Bo; Liu, Wen-Jun; Lü, Xing; Jiang, Yan
14
2011
Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose-Einstein condensates. Zbl 1155.35454
Lü, Xing; Tian, Bo; Xu, Tao; Cai, Ke-Jie; Liu, Wen-Jun
13
2008
Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations. Zbl 1020.35527
Tian, Bo; Gao, Yi-Tian
13
1995
Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function. Zbl 1314.35129
Lü, Xing; Tian, Bo; Sun, Kun; Wang, Pan
13
2010
Soliton-like solutions of a generalized variable-coefficient higher order nonlinear Schrödinger equation from inhomogeneous optical fibers with symbolic computation. Zbl 1131.35387
Li, Juan; Zhang, Hai-Qiang; Xu, Tao; Zhang, Ya-Xing; Tian, Bo
13
2007
Multi-soliton solutions and their interactions for the \((2+1)\)-dimensional Sawada-Kotera model with truncated Painlevé expansion, Hirota bilinear method and symbolic computation. Zbl 1180.37094
Lü, Xing; Geng, Tao; Zhang, Cheng; Zhu, Hong-Wu; Meng, Xiang-Hua; Tian, Bo
13
2009
Darboux transformation and soliton solutions for the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics. Zbl 1335.35239
Qi, Feng-Hua; Tian, Bo; Lü, Xing; Guo, Rui; Xue, Yu-Shan
12
2012
New family of overturning soliton solutions for a typical breaking soliton equation. Zbl 0836.35140
Gao, Yi-Tian; Tian, Bo
12
1995
Bright \(N\)-soliton solutions in terms of the triple Wronskian for the coupled nonlinear Schrödinger equations in optical fibers. Zbl 1191.81119
Xu, Tao; Tian, Bo
12
2010
On a generalized Kadomtsev-Petviashvili equation with variable coefficients via symbolic computation. Zbl 1131.35383
Li, Li-Li; Tian, Bo; Zhang, Chun-Yi; Xu, Tao
12
2007
Optical soliton solutions for two coupled nonlinear Schrödinger systems via Darboux transformation. Zbl 1131.35390
Zhang, Hai-Qiang; Li, Juan; Xu, Tao; Zhang, Ya-Xing; Hu, Wei; Tian, Bo
12
2007
Integrable aspects and applications of a generalized inhomogeneous \(N\)-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation. Zbl 1220.81121
Xu, Tao; Li, Juan; Zhang, Hai-Qiang; Zhang, Ya-Xing; Hu, Wei; Gao, Yi-Tian; Tian, Bo
10
2008
Symbolic-computation study of integrable properties for the \((2+1)\)-dimensional Gardner equation with the two-singular manifold method. Zbl 1168.35439
Zhang, Hai-Qiang; Tian, Bo; Li, Juan; Xu, Tao; Zhang, Ya-Xing
10
2009
An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation. Zbl 1309.35146
Xu, Tao; Tian, Bo
10
2010
Bäcklund transformations and soliton solutions for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics. Zbl 1345.37070
Huang, Zhi-Ruo; Tian, Bo; Zhen, Hui-Ling; Jiang, Yan; Wang, Yun-po; Sun, Ya
9
2015
New families of exact solutions to the integrable dispersive long wave equations in \((2+1)\)-dimensional spaces. Zbl 0896.35131
Tian, Bo; Gao, Yitian
9
1996
The solitonic features of a nonintegrable (3+1)-dimensional Jimbo-Miwa equation. Zbl 1053.37059
Tian, Bo; Gao, Yi-Tian; Hong, Woopyo.
9
2002
Darboux transformation and new solutions for the Whitham-Broer-Kaup equations. Zbl 1160.37409
Li, Hong-Zhe; Tian, Bo; Li, Li-Li; Zhang, Hai-Qiang; Xu, Tao
9
2008
Integrability aspects and soliton solutions for an inhomogeneous nonlinear system with symbolic computation. Zbl 1247.35175
Guo, Rui; Tian, Bo
9
2012
Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids. Zbl 1356.35213
Zhao, Xue-Hui; Tian, Bo; Li, Hui-Min; Guo, Yong-Jiang
9
2017
Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation. Zbl 1263.35177
Wang, Yu-Feng; Tian, Bo; Wang, Pan; Li, Min; Jiang, Yan
9
2012
Dynamic behaviors and soliton solutions of the modified Zakharov-Kuznetsov equation in the electrical transmission line. Zbl 1362.35275
Zhen, Hui-Ling; Tian, Bo; Zhong, Hui; Jiang, Yan
9
2014
Solitons and bilinear Bäcklund transformations for a \((3 + 1)\)-dimensional Yu-Toda-Sasa-Fukuyama equation in a liquid or lattice. Zbl 1381.35158
Yin, Hui-Min; Tian, Bo; Chai, Jun; Wu, Xiao-Yu; Sun, Wen-Rong
8
2016
Dark-bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber. Zbl 1439.78012
Du, Zhong; Tian, Bo; Chai, Han-Peng; Zhao, Xue-Hui
8
2020
Dark breather waves, dark lump waves and lump wave-soliton interactions for a (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation in a fluid. Zbl 1442.35379
Hu, Cong-Cong; Tian, Bo; Yin, Hui-Min; Zhang, Chen-Rong; Zhang, Ze
8
2019
Wronskian and Grammian solutions for a \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation. Zbl 1387.35539
Yuan, Yu-Qiang; Tian, Bo; Sun, Wen-Rong; Chai, Jun; Liu, Lei
8
2017
Symbolic computation in engineering: Application to a breaking soliton equation. Zbl 0903.76075
Tian, Bo; Zhao, Keyi; Gao, Yitiann
8
1997
Rogue-wave solutions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber. Zbl 1348.78020
Xie, Xi-Yang; Tian, Bo; Sun, Wen-Rong; Sun, Ya
8
2015
Integrability aspects with optical solitons of a generalized variable-coefficient \(N\)-coupled higher order nonlinear Schrödinger system from inhomogeneous optical fibers. Zbl 1310.35219
Lü, Xing; Li, Juan; Zhang, Hai-Qiang; Xu, Tao; Li, Li-Li; Tian, Bo
8
2010
Symbolic computation on integrable properties of a variable-coefficient Korteweg-de Vries equation from arterial mechanics and Bose-Einstein condensates. Zbl 1115.35112
Li, Juan; Xu, Tao; Meng, Xiang-Hua; Yang, Zai-Chun; Zhu, Hong-Wu; Tian, Bo
8
2007
Conservation laws, bilinear forms and solitons for a fifth-order nonlinear Schrödinger equation for the attosecond pulses in an optical fiber. Zbl 1343.35211
Chai, Jun; Tian, Bo; Zhen, Hui-Ling; Sun, Wen-Rong
8
2015
Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. Zbl 1418.76017
Wu, Xiao-Yu; Tian, Bo; Liu, Lei; Sun, Yan
7
2018
Ablowitz-Kaup-Newell-Segur system, conservation laws and Bäcklund transformation of a variable-coefficient Korteweg-de Vries equation in plasma physics, fluid dynamics or atmospheric science. Zbl 1451.35158
Chen, Yu-Qi; Tian, Bo; Qu, Qi-Xing; Li, He; Zhao, Xue-Hui; Tian, He-Yuan; Wang, Meng
7
2020
Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation. Zbl 1096.76012
Gao, Yitian; Tian, Bo; Zhang, Chunyi
7
2006
Soliton resonance of the \((2+1)\)-dimensional Boussinesq equation for gravity water waves. Zbl 1147.35090
Zhang, Hai-Qiang; Meng, Xiang-Hua; Li, Juan; Tian, Bo
7
2008
Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation. Zbl 1153.81450
Xu, Tao; Zhang, Haiqiang; Zhang, Yaxing; Li, Juan; Feng, Qian; Tian, Bo
7
2008
Auto-Bäcklund transformation and two families of analytical solutions to the \((2+1)\)-dimensional soliton breaking equation. Zbl 1073.35532
Tian, Bo; Gao, Yi-Tian
7
1996
Bright and dark solitons in the normal dispersion regime of inhomogeneous optical fibers: soliton interaction and soliton control. Zbl 1204.78015
Liu, Wen-Jun; Tian, Bo; Xu, Tao; Sun, Kun; Jiang, Yan
7
2010
Dynamics of an integrable Kadomtsev-Petviashvili-based system. Zbl 1311.35269
Zhen, Hui-Ling; Tian, Bo; Sun, Wen-Rong
7
2014
Symbolic computation on the multi-soliton-like solutions of the cylindrical Kadomtsev-Petviashvili equation from dusty plasmas. Zbl 1178.35333
Li, Juan; Zhang, Hai-Qiang; Xu, Tao; Zhang, Ya-Xing; Hu, Wei; Tian, Bo
7
2007
Multi-soliton solutions and Bäcklund transformation for a two-mode KdV equation in a fluid. Zbl 1375.35075
Xiao, Zi-Jian; Tian, Bo; Zhen, Hui-Ling; Chai, Jun; Wu, Xiao-Yu
7
2017
\((2+1)\)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation. Zbl 1173.35702
Tian, Bo; Li, He; Gao, Yi-Tian
6
2005
On the generalized \(\tanh\) method for the \((2+1)\)-dimensional breaking soliton equation. Zbl 1020.35516
Tian, Bo; Gao, Yi-Tian
6
1995
Integrable decompositions for the \((2+1)\)-dimensional Gardner equation. Zbl 1192.35144
Xu, Tao; Tian, Bo; Zhang, Hai-Qiang; Li, Juan
6
2010
Vector semirational rogue waves for a coupled nonlinear Schrödinger system in a birefringent fiber. Zbl 1410.35219
Yuan, Yu-Qiang; Tian, Bo; Chai, Han-Peng; Wu, Xiao-Yu; Du, Zhong
6
2019
Chaotic breathers and breather fission/fusion for a vector nonlinear Schrödinger equation in a birefringent optical fiber or wavelength division multiplexed system. Zbl 1433.78020
Yin, Hui-Min; Tian, Bo; Zhao, Xin-Chao
6
2020
Integrability study on a generalized \((2+1)\)-dimensional variable-coefficient gardner model with symbolic computation. Zbl 1311.35261
Lü, Xing; Tian, Bo; Zhang, Hai-Qiang; Xu, Tao; Li, He
6
2010
Bell-polynomial approach and \(N\)-soliton solution for the extended Lotka-Volterra equation in plasmas. Zbl 1316.76116
Qin, Bo; Tian, Bo; Liu, Li-Cai; Wang, Ming; Lin, Zhi-Qiang; Liu, Wen-Jun
6
2011
Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus-Kundu equation with the cubic-quintic nonlinearity. Zbl 1328.37055
Wang, Pan; Tian, Bo; Sun, Kun; Qi, Feng-Hua
6
2015
Interactions of bright solitons for the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations from optical fibres with symbolic computation. Zbl 1110.35341
Zhang, Hai-Qiang; Meng, Xiang-Hua; Xu, Tao; Li, Li-Li; Tian, Bo
6
2007
Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system. Zbl 1442.37084
Chen, Su-Su; Tian, Bo; Liu, Lei; Yuan, Yu-Qiang; Zhang, Chen-Rong
5
2019
Double-Wronskian solitons and rogue waves for the inhomogeneous nonlinear Schrödinger equation in an inhomogeneous plasma. Zbl 1303.82035
Sun, Wen-Rong; Tian, Bo; Jiang, Yan; Zhen, Hui-Ling
5
2014
Soliton-like solutions of a derivative nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers. Zbl 1215.78014
Li, Min; Tian, Bo; Liu, Wen-Jun; Zhang, Hai-Qiang; Meng, Xiang-Hua
5
2010
On an analytical method and soliton-typed solutions for certain variable-coefficient partial differential equations in nonlinear mechanics. Zbl 0903.35062
Gao, Y. T.; Tian, B.
5
1998
Breather and double-pole solutions of the derivative nonlinear Schrödinger equation from optical fibers. Zbl 1241.35189
Li, Min; Xiao, Jing-Hua; Liu, Wen-Jun; Jiang, Yan; Sun, Kun; Tian, Bo
5
2011
Soliton solutions via auxiliary function method for a coherently-coupled model in the optical fiber communications. Zbl 1261.35134
Lü, Xing; Tian, Bo
5
2013
Soliton solutions for a generalized inhomogeneous variable-coefficient Hirota equation with symbolic computation. Zbl 1196.35190
Wang, Pan; Tian, Bo; Liu, Wen-Jun; Li, Min; Sun, Kun
5
2010
Painlevé integrability and \(N\)-soliton solution for the variable-coefficient Zakharov-Kuznetsov equation from plasmas. Zbl 1207.35091
Qu, Qi-Xing; Tian, Bo; Liu, Wen-Jun; Li, Min; Sun, Kun
5
2010
Soliton dynamics of a discrete integrable Ablowitz-Ladik equation for some electrical and optical systems. Zbl 1325.39006
Wang, Yu-Feng; Tian, Bo; Li, Min; Wang, Pan; Jiang, Yan
5
2014
Soliton solutions for the reduced Maxwell-Bloch system in nonlinear optics via the \(N\)-fold Darboux transformation. Zbl 1263.35200
Guo, Rui; Tian, Bo; Wang, Lei
5
2012
Lax pair and Darboux transformation for a variable-coefficient fifth-order Korteweg-de Vries equation with symbolic computation. Zbl 1392.35277
Zhang, Ya-Xing; Zhang, Hai-Qiang; Li, Juan; Xu, Tao; Zhang, Chun-Yi; Tian, Bo
4
2008
Wronskian and Grammian determinant solutions for a variable-coefficient Kadomtsev-Petviashvili equation. Zbl 1392.35274
Yao, Zhen-Zhi; Zhang, Chun-Yi; Zhu, Hong-Wu; Meng, Xiang-Hua; Lü, Xing; Shan, Wen-Rui; Tian, Bo
4
2008
Pfaffianization of the generalized variable-coefficient Kadomtsev-Petviashvili equation. Zbl 1410.35177
Meng, Xiang-Hua; Tian, Bo; Zhang, Hai-Qiang
4
2010
Conservation laws and analytic soliton solutions for coupled integrable dispersionless equations with symbolic computation. Zbl 1218.35192
Wang, Pan; Tian, Bo; Liu, Wen-Jun; Qu, Qi-Xing; Jiang, Yan
4
2010
Using symbolic computation to exactly solve for the Bogoyavlenskii’s generalized breaking soliton equation. Zbl 0870.35099
Gao, Yi-Tian; Tian, Bo
4
1997
Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra. Zbl 0881.35105
Tian, Bo; Gao, Yi-Tian
4
1997
Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation. Zbl 0855.35118
Tian, Bo; Gao, Yi-Tian
4
1996
On the two-dimensional regularized long-wave equation in fluids and plasmas. Zbl 1064.76018
Tian, Bo; Li, Wei; Gao, Yitian
4
2003
Analytic study on the Sawada-Kotera equation with a nonvanishing boundary condition in fluids. Zbl 1311.35264
Shan, Wen-Rui; Yan, Tian-Zhong; Lü, Xing; Li, Min; Tian, Bo
4
2013
Solitons and their collisions in the spinor Bose-Einstein condensates. Zbl 1257.82010
Wang, Ming; Tian, Bo; Shan, Wen-Rui; Lü, Xing; Xue, Yu-Shan
4
2012
Bäcklund transformation in bilinear form for a higher-order nonlinear Schrödinger equation. Zbl 1160.35538
Zhu, Hong-Wu; Tian, Bo
4
2008
Symbolic-computation study on the (2+1)-dimensional dispersive long wave system. Zbl 1385.76007
Sun, Kun; Tian, Bo; Liu, Wen-Jun; Li, Min; Qu, Qi-Xing; Jiang, Yan
4
2010
Soliton fusion and fission in a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids. Zbl 1410.76058
Wang, Yu-Feng; Tian, Bo; Jiang, Yan
4
2017
Breathers and rogue waves of the fifth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain. Zbl 1431.35182
Sun, Wen-Rong; Tian, Bo; Zhen, Hui-Ling; Sun, Ya
4
2015
Soliton solutions and Bäcklund transformations of a (2+1)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy. Zbl 1331.37092
Liu, De-Yin; Tian, Bo; Jiang, Yan; Sun, Wen-Rong
4
2014
Stochastic soliton solutions for the \((2 + 1)\)-dimensional stochastic Broer-Kaup equations in a fluid or plasma. Zbl 1393.35186
Yin, Hui-Min; Tian, Bo; Chai, Jun; Wu, Xiao-Yu
4
2018
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix. Zbl 07469331
Tian, He-Yuan; Tian, Bo; Sun, Yan; Zhang, Chen-Rong
2
2022
Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system. Zbl 07479005
Gao, Xiao-Tian; Tian, Bo
2
2022
Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber. Zbl 1478.78067
Wang, Meng; Tian, Bo; Hu, Cong-Cong; Liu, Shao-Hua
2
2021
Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves. Zbl 1476.35082
Shen, Yuan; Tian, Bo
2
2021
Painlevé analysis, Bäcklund transformations and traveling-wave solutions for a \((3 + 1)\)-dimensional generalized Kadomtsev-Petviashvili equation in a fluid. Zbl 1462.35338
Ma, Yong-Xin; Tian, Bo; Qu, Qi-Xing; Yang, Dan-Yu; Chen, Yu-Qi
2
2021
Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre. Zbl 1479.35827
Tian, He-Yuan; Tian, Bo; Zhang, Chen-Rong; Chen, Su-Su
2
2021
Solitonic fusion and fission for a \((3 + 1)\)-dimensional generalized nonlinear evolution equation arising in the shallow water waves. Zbl 07411257
Shen, Yuan; Tian, Bo; Liu, Shao-Hua
1
2021
Breather, lump, shock and travelling-wave solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics. Zbl 1479.35680
Liu, Shao-Hua; Tian, Bo; Qu, Qi-Xing; Li, He; Zhao, Xue-Hui; Du, Xia-Xia; Chen, Su-Su
1
2021
Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber. Zbl 07171830
Zhang, Chen-Rong; Tian, Bo; Qu, Qi-Xing; Liu, Lei; Tian, He-Yuan
16
2020
Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles. Zbl 1443.76233
Wang, Meng; Tian, Bo; Sun, Yan; Zhang, Ze
15
2020
Dark-bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber. Zbl 1439.78012
Du, Zhong; Tian, Bo; Chai, Han-Peng; Zhao, Xue-Hui
8
2020
Ablowitz-Kaup-Newell-Segur system, conservation laws and Bäcklund transformation of a variable-coefficient Korteweg-de Vries equation in plasma physics, fluid dynamics or atmospheric science. Zbl 1451.35158
Chen, Yu-Qi; Tian, Bo; Qu, Qi-Xing; Li, He; Zhao, Xue-Hui; Tian, He-Yuan; Wang, Meng
7
2020
Chaotic breathers and breather fission/fusion for a vector nonlinear Schrödinger equation in a birefringent optical fiber or wavelength division multiplexed system. Zbl 1433.78020
Yin, Hui-Min; Tian, Bo; Zhao, Xin-Chao
6
2020
Vector rational and semi-rational rogue waves for the coupled cubic-quintic nonlinear Schrödinger system in a non-Kerr medium. Zbl 1437.35622
Du, Zhong; Tian, Bo; Qu, Qi-Xing; Wu, Xiao-Yu; Zhao, Xue-Hui
2
2020
Periodic-wave and semirational solutions for the \((2 + 1)\)-dimensional Davey-Stewartson equations on the surface water waves of finite depth. Zbl 1439.35411
Yuan, Yu-Qiang; Tian, Bo; Qu, Qi-Xing; Zhao, Xue-Hui; Du, Xia-Xia
2
2020
Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics. Zbl 1483.35166
Wang, Meng; Tian, Bo; Qu, Qi-Xing; Zhao, Xue-Hui; Zhang, Ze; Tian, He-Yuan
2
2020
Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma. Zbl 1483.35177
Du, Xia-Xia; Tian, Bo; Qu, Qi-Xing; Yuan, Yu-Qiang; Zhao, Xue-Hui
2
2020
Dark breather waves, dark lump waves and lump wave-soliton interactions for a (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation in a fluid. Zbl 1442.35379
Hu, Cong-Cong; Tian, Bo; Yin, Hui-Min; Zhang, Chen-Rong; Zhang, Ze
8
2019
Vector semirational rogue waves for a coupled nonlinear Schrödinger system in a birefringent fiber. Zbl 1410.35219
Yuan, Yu-Qiang; Tian, Bo; Chai, Han-Peng; Wu, Xiao-Yu; Du, Zhong
6
2019
Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system. Zbl 1442.37084
Chen, Su-Su; Tian, Bo; Liu, Lei; Yuan, Yu-Qiang; Zhang, Chen-Rong
5
2019
Chaotic motions for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a nano optical fiber. Zbl 1414.35215
Yin, Hui-Min; Tian, Bo; Hu, Cong-Cong; Zhao, Xin-Chao
3
2019
Localized waves for the mixed coupled Hirota equations in an optical fiber. Zbl 1464.78004
Chai, Han-Peng; Tian, Bo; Du, Zhong
2
2019
Optical breathers and rogue waves via the modulation instability for a higher-order generalized nonlinear Schrödinger equation in an optical fiber transmission system. Zbl 1430.78007
Yin, Hui-Min; Tian, Bo; Zhang, Chen-Rong; Du, Xia-Xia; Zhao, Xin-Chao
2
2019
Gramian solutions and soliton interactions for a generalized (3 + 1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in a plasma or fluid. Zbl 1472.82035
Chen, Su-Su; Tian, Bo
1
2019
Vector breathers with the negatively coherent coupling in a weakly birefringent fiber. Zbl 07215309
Zhang, Chen-Rong; Tian, Bo; Liu, Lei; Chai, Han-Peng; Du, Zhong
1
2019
Vector multi-rogue waves for the three-coupled fourth-order nonlinear Schrödinger equations in an alpha helical protein. Zbl 07263870
Du, Zhong; Tian, Bo; Chai, Han-Peng; Yuan, Yu-Qiang
1
2019
Breather-like solitons, rogue waves, quasi-periodic/chaotic states for the surface elevation of water waves. Zbl 1430.35216
Yin, Hui-Min; Tian, Bo; Zhao, Xin-Chao; Zhang, Chen-Rong; Hu, Cong-Cong
1
2019
Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations. Zbl 1384.35110
Yuan, Yu-Qiang; Tian, Bo; Liu, Lei; Wu, Xiao-Yu; Sun, Yan
25
2018
Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber. Zbl 1390.35323
Du, Zhong; Tian, Bo; Chai, Han-Peng; Sun, Yan; Zhao, Xue-Hui
20
2018
Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. Zbl 1418.76017
Wu, Xiao-Yu; Tian, Bo; Liu, Lei; Sun, Yan
7
2018
Stochastic soliton solutions for the \((2 + 1)\)-dimensional stochastic Broer-Kaup equations in a fluid or plasma. Zbl 1393.35186
Yin, Hui-Min; Tian, Bo; Chai, Jun; Wu, Xiao-Yu
4
2018
Rogue-wave solutions for a discrete Ablowitz-Ladik equation with variable coefficients for an electrical lattice. Zbl 1398.37079
Wu, Xiao-Yu; Tian, Bo; Yin, Hui-Min; Du, Zhong
2
2018
Rogue waves for a generalized nonlinear Schrödinger equation with distributed coefficients in a monomode optical fiber. Zbl 1380.35145
Sun, Yan; Tian, Bo; Liu, Lei; Wu, Xiao-Yu
2
2018
Numerical solutions of a variable-coefficient nonlinear Schrödinger equation for an inhomogeneous optical fiber. Zbl 1442.65129
Yin, Hui-Min; Tian, Bo; Chai, Jun; Liu, Lei; Sun, Yan
1
2018
Semi-rational solutions for the (3+1)-dimensional Kadomtsev-Petviashvili equation in a plasma or fluid. Zbl 1442.35404
Yuan, Yu-Qiang; Tian, Bo; Liu, Lei; Chai, Han-Peng; Sun, Yan
1
2018
Dark-dark solitons for a set of the coupled nonlinear Schrödinger equations in a birefringent fiber. Zbl 1380.35147
Yuan, Yu-Qiang; Tian, Bo; Liu, Lei; Sun, Yan; Du, Zhong
1
2018
Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids. Zbl 1356.35213
Zhao, Xue-Hui; Tian, Bo; Li, Hui-Min; Guo, Yong-Jiang
9
2017
Wronskian and Grammian solutions for a \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation. Zbl 1387.35539
Yuan, Yu-Qiang; Tian, Bo; Sun, Wen-Rong; Chai, Jun; Liu, Lei
8
2017
Multi-soliton solutions and Bäcklund transformation for a two-mode KdV equation in a fluid. Zbl 1375.35075
Xiao, Zi-Jian; Tian, Bo; Zhen, Hui-Ling; Chai, Jun; Wu, Xiao-Yu
7
2017
Soliton fusion and fission in a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids. Zbl 1410.76058
Wang, Yu-Feng; Tian, Bo; Jiang, Yan
4
2017
Rogue waves and lump solitons of the \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation for water waves. Zbl 1382.35259
Sun, Yan; Tian, Bo; Liu, Lei; Chai, Han-Peng; Yuan, Yu-Qiang
3
2017
Vector bright soliton behaviors of the coupled higher-order nonlinear Schrödinger system in the birefringent or two-mode fiber. Zbl 1390.35333
Liu, Lei; Tian, Bo; Xie, Xi-Yang; Guan, Yue-Yang
2
2017
Bright and dark solitons for a discrete (2+1)-dimensional Ablowitz-Ladik equation for the nonlinear optics and Bose-Einstein condensation. Zbl 1448.81535
Wu, Xiao-Yu; Tian, Bo; Liu, Lei; Sun, Yan
1
2017
Bell-polynomial approach and Wronskian determinant solutions for three sets of differential-difference nonlinear evolution equations with symbolic computation. Zbl 1386.35033
Qin, Bo; Tian, Bo; Wang, Yu-Feng; Shen, Yu-Jia; Wang, Ming
1
2017
Solitons and bilinear Bäcklund transformations for a \((3 + 1)\)-dimensional Yu-Toda-Sasa-Fukuyama equation in a liquid or lattice. Zbl 1381.35158
Yin, Hui-Min; Tian, Bo; Chai, Jun; Wu, Xiao-Yu; Sun, Wen-Rong
8
2016
Solitons and rouge waves for a generalized \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. Zbl 1443.76115
Chai, Jun; Tian, Bo; Sun, Wen-Rong; Xie, Xi-Yang
3
2016
Breather and double-pole solutions for the Benjamin-Ono equation in a stratified fluid. Zbl 1378.76016
Sun, Wen-Rong; Tian, Bo; Zhong, Hui; Liu, Rong-Xiang
2
2016
Mixed-type soliton solutions for the \(N\)-coupled Hirota system in an optical fiber. Zbl 1359.78010
Liu, Lei; Tian, Bo; Sun, Wen-Rong; Wu, Xiao-Yu
2
2016
Conservation laws, bilinear Bäcklund transformations and solitons for a nonautonomous nonlinear Schrödinger equation with external potentials. Zbl 07249780
Chai, Jun; Tian, Bo; Xie, Xi-Yang; Sun, Ya
1
2016
High-order rogue waves of the coupled nonlinear Schrödinger equations with negative coherent coupling in an isotropic medium. Zbl 07249786
Sun, Wen-Rong; Tian, Bo; Xie, Xi-Yang; Chai, Jun; Jiang, Yan
1
2016
Analytic study on a \((2+1)\)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism. Zbl 1443.82014
Liu, De-Yin; Tian, Bo; Jiang, Yan; Xie, Xi-Yang; Wu, Xiao-Yu
1
2016
Bäcklund transformation and \(N\)-shock-wave solutions for a (3+1)-dimensional nonlinear evolution equation. Zbl 1354.37071
Sun, Ya; Tian, Bo; Wang, Yu-Feng; Zhen, Hui-Ling
1
2016
Bäcklund transformations and soliton solutions for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics. Zbl 1345.37070
Huang, Zhi-Ruo; Tian, Bo; Zhen, Hui-Ling; Jiang, Yan; Wang, Yun-po; Sun, Ya
9
2015
Rogue-wave solutions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber. Zbl 1348.78020
Xie, Xi-Yang; Tian, Bo; Sun, Wen-Rong; Sun, Ya
8
2015
Conservation laws, bilinear forms and solitons for a fifth-order nonlinear Schrödinger equation for the attosecond pulses in an optical fiber. Zbl 1343.35211
Chai, Jun; Tian, Bo; Zhen, Hui-Ling; Sun, Wen-Rong
8
2015
Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus-Kundu equation with the cubic-quintic nonlinearity. Zbl 1328.37055
Wang, Pan; Tian, Bo; Sun, Kun; Qi, Feng-Hua
6
2015
Breathers and rogue waves of the fifth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain. Zbl 1431.35182
Sun, Wen-Rong; Tian, Bo; Zhen, Hui-Ling; Sun, Ya
4
2015
Rogue wave solutions for a generalized nonautonomous nonlinear equation in a nonlinear inhomogeneous fiber. Zbl 1343.35219
Xie, Xi-Yang; Tian, Bo; Wang, Yu-Feng; Sun, Ya; Jiang, Yan
3
2015
Darboux transformation and conservation laws for an inhomogeneous fifth-order nonlinear Schrödinger equation from the Heisenberg ferromagnetism. Zbl 1306.35123
Wang, Ming; Shan, Wen-Rui; Tian, Bo; Tan, Zhao
2
2015
Mixed-type vector solitons for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in an optical fiber. Zbl 1400.35207
Chai, Jun; Tian, Bo; Wang, Yu-Feng; Zhen, Hui-Ling; Wang, Yun-Po
2
2015
Analytic studies on a generalized inhomogeneous higher-order nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain. Zbl 1306.35122
Sun, Hao; Shan, Wen-Rui; Tian, Bo; Wang, Ming; Tan, Zhao
1
2015
Bäcklund transformations and soliton solutions for a \((2+1)\)-dimensional Korteweg-de Vries-type equation in water waves. Zbl 1348.37108
Wang, Yun-Po; Tian, Bo; Wang, Ming; Wang, Yu-Feng; Sun, Ya; Xie, Xi-Yang
1
2015
\(N\)-soliton solutions and asymptotic analysis for a Kadomtsev-Petviashvili-Schrödinger system for water waves. Zbl 1327.35338
Wang, Yu-Feng; Tian, Bo; Liu, Li-Cai; Li, Min; Qin, Bo
1
2015
Analytic study on the mixed-type solitons for a \((2+1)\)-dimensional \(N\)-coupled nonlinear Schrödinger system in nonlinear optical-fiber communication. Zbl 1337.78012
Wang, Yun-Po; Tian, Bo; Sun, Wen-Rong; Liu, De-Yin
1
2015
Lax pair, conservation laws and solitons for a \((2+1)\)-dimensional fourth-order nonlinear Schrödinger equation governing an \(\alpha\)-helical protein. Zbl 1343.35212
Chai, Jun; Tian, Bo; Zhen, Hui-Ling; Sun, Wen-Rong
1
2015
Dynamic behaviors and soliton solutions of the modified Zakharov-Kuznetsov equation in the electrical transmission line. Zbl 1362.35275
Zhen, Hui-Ling; Tian, Bo; Zhong, Hui; Jiang, Yan
9
2014
Dynamics of an integrable Kadomtsev-Petviashvili-based system. Zbl 1311.35269
Zhen, Hui-Ling; Tian, Bo; Sun, Wen-Rong
7
2014
Double-Wronskian solitons and rogue waves for the inhomogeneous nonlinear Schrödinger equation in an inhomogeneous plasma. Zbl 1303.82035
Sun, Wen-Rong; Tian, Bo; Jiang, Yan; Zhen, Hui-Ling
5
2014
Soliton dynamics of a discrete integrable Ablowitz-Ladik equation for some electrical and optical systems. Zbl 1325.39006
Wang, Yu-Feng; Tian, Bo; Li, Min; Wang, Pan; Jiang, Yan
5
2014
Soliton solutions and Bäcklund transformations of a (2+1)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy. Zbl 1331.37092
Liu, De-Yin; Tian, Bo; Jiang, Yan; Sun, Wen-Rong
4
2014
Dust ion-acoustic rogue waves in a three-species ultracold quantum dusty plasmas. Zbl 1343.82049
Sun, Wen-Rong; Tian, Bo; Liu, Rong-Xiang; Liu, De-Yin
3
2014
Dromion-like structures in the variable coefficient nonlinear Schrödinger equation. Zbl 1311.35292
Liu, Wen-Jun; Tian, Bo; Lei, Ming
1
2014
Soliton interactions for the three-coupled discrete nonlinear Schrödinger equations in the alpha helical proteins. Zbl 1287.35086
Sun, Wen-Rong; Tian, Bo; Zhong, Hui; Zhen, Hui-Ling
1
2014
Painlevé analysis, soliton collision and Bäcklund transformation for the \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluids or plasmas. Zbl 1294.37029
Xie, Xi-Yang; Tian, Bo; Jiang, Yan; Zhong, Hui; Sun, Ya; Wang, Yun-Po
1
2014
Dark solitonic excitations and collisions from a fourth-order dispersive nonlinear Schrödinger model for the alpha helical protein. Zbl 1470.35335
Liu, Rong-Xiang; Tian, Bo; Jiang, Yan; Wang, Pan
1
2014
Soliton solutions via auxiliary function method for a coherently-coupled model in the optical fiber communications. Zbl 1261.35134
Lü, Xing; Tian, Bo
5
2013
Analytic study on the Sawada-Kotera equation with a nonvanishing boundary condition in fluids. Zbl 1311.35264
Shan, Wen-Rui; Yan, Tian-Zhong; Lü, Xing; Li, Min; Tian, Bo
4
2013
Bell-polynomial approach and integrability for the coupled Gross-Pitaevskii equations in Bose-Einstein condensates. Zbl 1338.37095
Wang, Yu-Feng; Tian, Bo; Wang, Ming
3
2013
Soliton collision in a general coupled nonlinear Schrödinger system via symbolic computation. Zbl 1311.35299
Wang, Ming; Shan, Wen-Rui; Lü, Xing; Xue, Yu-Shan; Lin, Zhi-Qiang; Tian, Bo
2
2013
Bäcklund transformation and Wronskian solitons for the \({(2+1)}\)-dimensional Nizhnik-Novikov-Veselov equations. Zbl 1306.35115
Sun, Wen-Rong; Shan, Wen-Rui; Jiang, Yan; Li, Min; Tian, Bo
2
2013
Bright hump solitons for the higher-order nonlinear Schrödinger equation in optical fibers. Zbl 1284.35401
Jiang, Yan; Tian, Bo; Li, Min; Wang, Pan
2
2013
Soliton solutions and integrability for the generalized variable-coefficient extended Korteweg-de Vries equation in fluids. Zbl 1320.76025
Jiang, Yan; Tian, Bo; Liu, Wenjun; Sun, Kun; Li, Min
2
2013
Mixed-type solitons for the coupled higher-order nonlinear Schrödinger equations in multi-mode and birefringent fibers. Zbl 1356.35196
Jiang, Yan; Tian, Bo; Liu, Wen-Jun; Sun, Kun; Wang, Pan
2
2013
Vector-soliton bound states for the coupled mixed derivative nonlinear Schrödinger equations in optical fibers. Zbl 1360.78042
Li, Min; Xiao, Jing-Hua; Qin, Bo; Wang, Ming; Tian, Bo
2
2013
Integrability and soliton solutions for an \(N\)-coupled nonlinear Schrödinger system in optical fibers. Zbl 1395.35177
Wang, Ming; Tian, Bo; Li, Min; Shan, Wen-Rui
1
2013
Bilinearization and soliton solutions for some nonlinear evolution equations in fluids via the Bell polynomials and auxiliary functions. Zbl 1279.35071
Jiang, Yan; Tian, Bo; Li, Min; Wang, Pan
1
2013
Integrability and soliton interaction of a resonant nonlinear Schrödinger equation via binary Bell polynomials. Zbl 1270.37046
Li, Min; Xiao, Jing-Hua; Yan, Tian-Zhong; Tian, Bo
1
2013
Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms. Zbl 1247.35107
Lü, Xing; Tian, Bo; Zhang, Hai-Qiang; Xu, Tao; Li, He
16
2012
Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one tau-function. Zbl 1239.35132
Lü, Xing; Tian, Bo; Qi, Feng Hua
14
2012
Darboux transformation and soliton solutions for the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics. Zbl 1335.35239
Qi, Feng-Hua; Tian, Bo; Lü, Xing; Guo, Rui; Xue, Yu-Shan
12
2012
Integrability aspects and soliton solutions for an inhomogeneous nonlinear system with symbolic computation. Zbl 1247.35175
Guo, Rui; Tian, Bo
9
2012
Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation. Zbl 1263.35177
Wang, Yu-Feng; Tian, Bo; Wang, Pan; Li, Min; Jiang, Yan
9
2012
Soliton solutions for the reduced Maxwell-Bloch system in nonlinear optics via the \(N\)-fold Darboux transformation. Zbl 1263.35200
Guo, Rui; Tian, Bo; Wang, Lei
5
2012
Solitons and their collisions in the spinor Bose-Einstein condensates. Zbl 1257.82010
Wang, Ming; Tian, Bo; Shan, Wen-Rui; Lü, Xing; Xue, Yu-Shan
4
2012
Gauge transformation between the first-order nonisospectral and isospectral Heisenberg hierarchies. Zbl 1253.35008
Li, Hong-Zhe; Tian, Bo; Guo, Rui; Xue, Yu-Shan; Qi, Feng-Hua
3
2012
Integrable nonlinear differential-difference hierarchy and Darboux transformation. Zbl 1266.37037
Xue, Yu-Shan; Tian, Bo; Ai, Wen-Bao
3
2012
Bäcklund transformation, superposition formulae and \(N\)-soliton solutions for the perturbed Korteweg-de Vries equation. Zbl 1252.35243
Liu, Licai; Tian, Bo; Qin, Bo; Lü, Xing; Lin, Zhiqiang; Liu, Wenjun
2
2012
Soliton dynamics and interaction in the Bose-Einstein condensates with harmonic trapping potential and time-varying interatomic interaction. Zbl 1243.82013
Sun, Kun; Tian, Bo; Liu, Wen-Jun; Jiang, Yan; Qu, Qi-Xing; Wang, Pan
2
2012
Darboux transformation and Hamiltonian structure for the Jaulent-Miodek hierarchy. Zbl 1280.35005
Xue, Yu-Shan; Tian, Bo; Ai, Wen-Bao; Jiang, Yan
2
2012
Darboux transformation and soliton solutions for the generalized coupled variable-coefficient nonlinear Schrödinger-Maxwell-Bloch system with symbolic computation. Zbl 1274.35358
Guo, Rui; Tian, Bo; Liu, Xing; Zhang, Hai-Qiang; Liu, Wen-Jun
2
2012
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Cited by 865 Authors

80 Tian, Bo
57 Gao, Yitian
27 Lü, Xing
23 Yu, Xin
21 Meng, Xianghua
21 Xu, Tao
19 Liu, Wenjun J.
19 Zhang, Haiqiang
17 Zhang, Hongqing
16 Ma, Wen-Xiu
16 Sun, Zhiyuan
15 Jiang, Yan
15 Wang, Lei
14 Wang, Pan
13 Biswas, Anjan
13 Li, Min
12 Li, Juan
12 Meng, Dexin
12 Shan, Wenrui
12 Wang, Yufeng
11 Wang, Ming
10 Wei, Guangmei
9 Chen, Yong
9 Gai, Xiaoling
9 Li, Bangqing
9 Li, Biao
9 Ma, Yulan
9 Manafian Heris, Jalil
9 Qu, Qixing
9 Tian, Shoufu
9 Xia, Tie-Cheng
9 Zhang, Chun-Yi
9 Zhang, Yi
8 Guo, Boling
8 Liu, Hanze
8 Meng, Gao-Qing
8 Qi, Fenghua
8 Seadawy, Aly R.
8 Sun, Kun
8 Zhang, Tiantian
8 Zhaqilao, Z.
7 Alquran, Marwan Taiseer
7 Jia, Tingting
7 Li, He
7 Shen, Yujia
7 Wen, Xiaoyong
7 Xue, Yushan
6 Adem, Abdullahi Rashid
6 Fan, Engui
6 Gao, Xinyi
6 Geng, Xianguo
6 Li, Lili
6 Liu, Ying
6 Qin, Bo
6 Song, Lina
6 Wang, Yunhu
6 Wazwaz, Abdul-Majid Abdul-Rahman
6 Yu, Guofu
6 Zhang, Cheng
6 Zhou, Qin
5 Chen, Yiren
5 Cheng, Li
5 Deng, Gao-Fu
5 Feng, Yujie
5 Guo, Yongjiang
5 Hu, Beibei
5 Ilhan, Onur Alp
5 Khalique, Chaudry Masood
5 Lan, Zhongzhou
5 Li, Xiaonan
5 Liang, Yueqian
5 Liu, Jian Guo
5 Singh, Manjit
5 Xin, Xiangpeng
5 Zhang, Yufeng
5 Zhao, Zhonglong
5 Zhen, Hui-Ling
4 Băleanu, Dumitru I.
4 Das, Amiya
4 Dehghan Takht Fooladi, Mehdi
4 Ding, Cui-Cui
4 Guo, Rui
4 Gupta, Rajesh Kumar
4 Han, Bo
4 Hao, Huiqin
4 Jaradat, Imad
4 Kang, Zhouzheng
4 Li, Jibin
4 Li, Liu-Qing
4 Lin, Guo-Dong
4 Lin, Zhiqiang
4 Liu, Li-Cai
4 Liu, Nan
4 Ma, Zhengyi
4 Qin, Yi
4 Sun, Wen-Rong
4 Wang, Dengshan
4 Xu, Xiaoge
4 Yan, Zhenya
4 Zhang, Lihua
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Cited in 107 Serials

101 Nonlinear Dynamics
77 Applied Mathematics and Computation
43 Communications in Nonlinear Science and Numerical Simulation
42 Applied Mathematics Letters
32 Computers & Mathematics with Applications
21 Journal of Mathematical Physics
20 International Journal of Modern Physics B
17 Advances in Mathematical Physics
16 Chaos, Solitons and Fractals
14 International Journal of Computer Mathematics
13 Advances in Difference Equations
12 International Journal of Applied and Computational Mathematics
10 Journal of Mathematical Analysis and Applications
10 Mathematical Methods in the Applied Sciences
10 Wave Motion
9 Chaos
9 International Journal of Modern Physics C
9 Journal of Modern Optics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Journal of Geometry and Physics
7 Abstract and Applied Analysis
7 Journal of Nonlinear Mathematical Physics
7 Communications in Theoretical Physics
6 Applicable Analysis
6 International Journal of Theoretical Physics
6 Physics Letters. A
6 Studies in Applied Mathematics
6 Mathematical Problems in Engineering
5 Mathematics and Computers in Simulation
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 Waves in Random and Complex Media
5 Analysis and Mathematical Physics
5 Journal of Applied Analysis and Computation
4 Acta Mechanica
4 Reports on Mathematical Physics
4 Journal of Computational and Applied Mathematics
4 Applied Mathematical Modelling
4 Qualitative Theory of Dynamical Systems
3 Astrophysics and Space Science
3 Computer Physics Communications
3 Physica A
3 Physica D
3 Complexity
2 Rocky Mountain Journal of Mathematics
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Applied Numerical Mathematics
2 Acta Mathematica Sinica. English Series
2 The European Physical Journal B. Condensed Matter and Complex Systems
2 Mathematical Modelling of Natural Phenomena
2 East Asian Journal on Applied Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 AIMS Mathematics
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Computers and Fluids
1 Earth, Moon, and Planets
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Computational Physics
1 Nonlinearity
1 Nuclear Physics. B
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Collectanea Mathematica
1 Journal of Differential Equations
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quaestiones Mathematicae
1 Ricerche di Matematica
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Symbolic Computation
1 Facta Universitatis. Series Mathematics and Informatics
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 Communications in Partial Differential Equations
1 Journal of Dynamics and Differential Equations
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 Applied Mathematics. Series B (English Edition)
1 Computational and Applied Mathematics
1 Fractals
1 Filomat
1 Mathematical Physics, Analysis and Geometry
1 Discrete Dynamics in Nature and Society
1 International Journal of Applied Mathematics and Computer Science
1 Nonlinear Analysis. Real World Applications
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
1 International Journal of Geometric Methods in Modern Physics
1 Complex Variables and Elliptic Equations
1 Complex Analysis and Operator Theory
1 Frontiers of Mathematics in China
1 Advances in High Energy Physics
1 Advances in Applied Mathematics and Mechanics
1 Symmetry
1 ISRN Mathematical Analysis
1 Arabian Journal for Science and Engineering
1 S\(\vec{\text{e}}\)MA Journal
1 Annalen der Physik
1 Mathematical Sciences
1 Journal of Mathematics
...and 7 more Serials

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