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Gao, Yitian

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Author ID: gao.yitian Recent zbMATH articles by "Gao, Yitian"
Published as: Gao, Y.; Gao, Y. T.; Gao, Y.-T.; Gao, Yi Tian; Gao, Yi-Tian; Gao, Yitian
Documents Indexed: 150 Publications since 1994

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114 Publications have been cited 875 times in 443 Documents Cited by Year
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
51
2007
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
47
2006
Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas. Zbl 1197.82028
Tian, Bo; Gao, Yi-Tian
44
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
42
2007
Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers. Zbl 1222.78043
Tian, Bo; Gao, Yi-Tian
41
2005
Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation. Zbl 1145.35451
Tian, Bo; Gao, Yi-Tian
36
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
32
2001
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
\(N\)-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg-de Vries equation. Zbl 1191.35242
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
22
2010
Inelastic interactions and double Wronskian solutions for the Whitham-Broer-Kaup model in shallow water. Zbl 1423.35321
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling; Sun, Zhi-Yuan
22
2009
Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. Zbl 1356.35212
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
19
2012
Beyond travelling waves: A new algorithm for solving nonlinear evolution equations. Zbl 0923.65068
Tian, Bo; Gao, Yi-Tian
19
1996
Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system. Zbl 1283.35116
Zuo, Da-Wei; Gao, Yi-Tian; Meng, Gao-Qing; Shen, Yu-Jia; Yu, Xin
18
2014
Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics. Zbl 1231.37045
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Meng, Xiang-Hua; Liu, Ying
18
2009
Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization. Zbl 1050.90568
Gao, Y.
18
2000
Generalized tanh method with symbolic computation and generalized shallow water wave equation. Zbl 0873.76061
Gao, Yitian; Tian, Bo
17
1997
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
Integrable properties of a variable-coefficient Korteweg-de Vries model from Bose-Einstein condensates and fluid dynamics. Zbl 1148.82308
Zhang, Chun-Yi; Gao, Yi-Tian; Meng, Xiang-Hua; Li, Juan; Xu, Tao; Wei, Guang-Mei; Zhu, Hong-Wu
11
2006
New family of overturning soliton solutions for a typical breaking soliton equation. Zbl 0836.35140
Gao, Yi-Tian; Tian, Bo
11
1995
Painlevé analysis, Lax pair, Bäcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV-mKdV equation in fluids and plasmas. Zbl 1260.37043
Meng, Gao-Qing; Gao, Yi-Tian; Yu, Xin; Shen, Yu-Jia; Qin, Yi
10
2012
Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water. Zbl 1392.35269
Wang, Lei; Gao, Yi-Tian; Meng, De-Xin; Gai, Xiao-Ling; Xu, Peng-Bo
10
2011
Multi-solitonic solutions for the variable-coefficient variant Boussinesq model of the nonlinear water waves. Zbl 1425.76044
Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua
10
2010
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
Dynamics of bound vector solitons induced by stochastic perturbations: soliton breakup and soliton switching. Zbl 1302.35351
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying
9
2013
Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation. Zbl 1189.35296
Wei, Guang-Mei; Gao, Yi-Tian; Hu, Wei; Zhang, Chun-Yi
9
2006
The refined theory of magnetoelastic rectangular beams. Zbl 1067.74019
Gao, Y.; Wang, M. Z.
9
2004
The solitonic features of a nonintegrable (3+1)-dimensional Jimbo-Miwa equation. Zbl 1053.37059
Tian, Bo; Gao, Yi-Tian; Hong, Woopyo.
9
2002
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
Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows. Zbl 1448.76087
Su, Jing-Jing; Gao, Yi-Tian; Ding, Cui-Cui
8
2019
Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique. Zbl 1377.35057
Jia, Shu-Liang; Gao, Yi-Tian; Ding, Cui-Cui; Deng, Gao-Fu
8
2017
The refined theory of beams for a transversely isotropic body. Zbl 1140.74474
Gao, Y.; Xu, B. X.; Zhao, B. S.
8
2007
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
8
2006
A refined beam theory based on the refined plate theory. Zbl 1078.74022
Gao, Y.; Wang, M. Z.
8
2005
On the generalized \(\tanh\) method for the \((2+1)\)-dimensional breaking soliton equation. Zbl 1020.35516
Tian, Bo; Gao, Yi-Tian
8
1995
Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation. Zbl 1373.37163
Huang, Qian-Min; Gao, Yi-Tian; Jia, Shu-Liang; Wang, Ya-Le; Deng, Gao-Fu
7
2017
Rogue waves for the generalized nonlinear Schrödinger-Maxwell-Bloch system in optical-fiber communication. Zbl 1315.35061
Zuo, Da-Wei; Gao, Yi-Tian; Xue, Long; Feng, Yu-Jie; Sun, Yu-Hao
7
2015
Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves. Zbl 1356.35205
Liu, Ying; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin
7
2011
Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas. Zbl 1356.76457
Wang, Lei; Gao, Yi-Tian; Sun, Zhi-Yuan; Qi, Feng-Hua; Meng, De-Xin; Lin, Guo-Dong
6
2012
Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model. Zbl 1419.76089
Lin, Guo-Dong; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Yu, Xin
6
2011
Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics. Zbl 1162.76013
Xu, Xiaoge; Meng, Xianghua; Gao, Yitian; Wen, Xiaoyong
6
2009
The refined theory of rectangular curved beams. Zbl 1117.74031
Gao, Y.; Wang, M. Z.; Zhao, B. S.
6
2007
\((2+1)\)-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
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
6
1996
Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves. Zbl 1430.37071
Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu
5
2019
Multi-breather wave solutions for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid. Zbl 1448.35390
Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui
5
2019
Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1379.35293
Huang, Qian-Min; Gao, Yi-Tian; Hu, Lei
5
2018
Dark solitonic interaction and conservation laws for a higher-order \((2+1)\)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction. Zbl 1360.82057
Wang, Qi-Min; Gao, Yi-Tian; Su, Chuan-Qi; Mao, Bing-Qing; Gao, Zhe; Yang, Jin-Wei
5
2015
Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation. Zbl 1364.35317
Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing; Qin, Yi
5
2014
\(N\)-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation. Zbl 1268.37085
Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua
5
2012
Extended double Wronskian solutions to the Whitham-Broer-Kaup equations in shallow water. Zbl 1284.35344
Lin, Guo-Dong; Gao, Yi-Tian; Gai, Xiao-Ling; Meng, De-Xin
5
2011
Representation of the Clarke generalized Jacobian via the quasidifferential. Zbl 1059.49023
Gao, Y.
5
2004
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
Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation. Zbl 0855.35118
Tian, Bo; Gao, Yi-Tian
5
1996
Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons. Zbl 1430.74073
Jia, Ting-Ting; Gao, Yi-Tian; Deng, Gao-Fu; Hu, Lei
4
2019
Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics. Zbl 1342.35305
Lan, Zhong-Zhou; Gao, Yi-Tian; Yang, Jin-Wei; Su, Chuan-Qi; Zhao, Chen; Gao, Zhe
4
2016
A-priori direct numerical simulation assessment of sub-grid scale stress tensor closures for turbulent premixed combustion. Zbl 1390.80015
Klein, M.; Kasten, C.; Gao, Y.; Chakraborty, N.
4
2015
Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves. Zbl 1231.35217
Wen, Xiao-Yong; Gao, Yi-Tian; Wang, Lei
4
2011
On the two-dimensional regularized long-wave equation in fluids and plasmas. Zbl 1064.76018
Tian, Bo; Li, Wei; Gao, Yitian
4
2003
Some two-dimensional and non-travelling-wave observable effects of the shallow-water waves. Zbl 0997.76013
Gao, Yitian; Bo, Tian
4
2002
Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra. Zbl 0881.35105
Tian, Bo; Gao, Yi-Tian
4
1997
Soliton-like solutions for a \((2+1)\)-dimensional generalization of the shallow water wave equations. Zbl 1080.35527
Tian, Bo; Gao, Yi-Tian
4
1996
Rogue-wave interaction for a higher-order nonlinear Schrödinger-Maxwell-Bloch system in the optical-fiber communication. Zbl 1331.35096
Zuo, Da-Wei; Gao, Yi-Tian; Feng, Yu-Jie; Xue, Long
3
2014
\(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves. Zbl 1291.35023
Wen, Xiao-Yong; Gao, Yi-Tian
3
2012
Dynamics of the Manakov-typed bound vector solitons with random initial perturbations. Zbl 1247.35125
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying
3
2012
Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes. Zbl 1221.35334
Gai, Xiao-Ling; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Lü, Xing; Sun, Zhi-Yuan; Yu, Xin
3
2011
Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves. Zbl 1420.76001
Lin, Guo-Dong; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin; Meng, De-Xin
3
2011
Darboux transformation and explicit solutions for discretized modified Korteweg-de Vries lattice equation. Zbl 1219.35266
Wen, Xiao-Yong; Gao, Yi-Tian
3
2010
Interactions of solitons in a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1202.76027
Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Gai, Xiao-Ling; Lin, Guo-Dong
3
2010
Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Zbl 1277.35310
Zhu, Shunhui; Gao, Yitian; Yu, Xin; Sun, Zhiyuan; Gai, Xiaoling; Meng, Dexin
3
2010
Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves. Zbl 1181.35219
Meng, De-Xin; Gao, Yi-Tian; Gai, Xiao-Ling; Wang, Lei; Yu, Xin; Sun, Zhi-Yuan; Wang, Ming-Zhen; Lü, Xing
3
2009
Differences of polyhedra in matrix space and their applications to nonsmooth analysis. Zbl 1123.49012
Gao, Y.
3
2006
Using symbolic computation to exactly solve for the Bogoyavlenskii’s generalized breaking soliton equation. Zbl 0870.35099
Gao, Yi-Tian; Tian, Bo
3
1997
Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation. Zbl 1377.35056
Huang, Qian-Min; Gao, Yi-Tian
2
2017
Exterior differential expression of the \((1+1)\)-dimensional nonlinear evolution equation with Lax integrability. Zbl 1360.37166
Su, Chuan-Qi; Gao, Yi-Tian; Yu, Xin; Xue, Long; Shen, Yu-Jia
2
2016
Bell-polynomial application and multi-soliton solutions for the generalized variable-coefficient Drinfeld-Sokolov-Satsuma-Hirota system in fluids and plasmas. Zbl 1279.35080
Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin
2
2013
Bell polynomial approach and \(N\)-soliton solutions for a coupled KdV-mKdV system. Zbl 1263.37078
Qin, Yi; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing
2
2012
Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system. Zbl 1297.76039
Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Xu, Peng-Bo
2
2012
Gauge transformation, elastic and inelastic interactions for the Whitham-Broer-Kaup shallow-water model. Zbl 1335.35223
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling
2
2012
Painlevé analysis, soliton solutions and Bäcklund transformation for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics via symbolic computation. Zbl 1264.35179
Xu, Peng-Bo; Gao, Yi-Tian; Yu, Xin; Wang, Lei; Lin, Guo-Dong
2
2011
\(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1362.76018
Meng, Dexin; Gao, Yitian; Wang, Lei; Gai, Xiaoling
2
2011
Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics. Zbl 1380.76007
Xu, Pengbo; Gao, Yitian; Gai, Xiaoling; Meng, Dexin; Shen, Yujia; Wang, Lei
2
2011
N-soliton-like solutions and Bäcklund transformations for a non-isospectral and variable-coefficient modified Korteweg-de Vries equation. Zbl 1218.35207
Feng, Qian; Gao, Yi-Tian; Meng, Xiang-Hua; Yu, Xin; Sun, Zhi-Yuan; Xu, Tao; Tian, Bo
2
2011
Darboux transformation and soliton solutions for a variable-coefficient modified Kortweg-de Vries model from fluid mechanics, ocean dynamics, and plasma mechanics. Zbl 1251.76005
Gai, Xiao-Ling; Gao, Yi-Tian; Meng, De-Xin; Wang, Lei; Sun, Zhi-Yuan; Lü, Xing; Feng, Qian; Wang, Ming-Zhen; Yu, Xin; Zhu, Shun-Hui
2
2010
An inexact SQP Newton method for convex SC\(^{1}\) minimization problems. Zbl 1197.90314
Chen, Y. D.; Gao, Y.; Liu, Y.-J.
2
2010
Various methods for constructing auto-Bäcklund transformations for a generalized variable-coefficient Korteweg-de Vries model from plasmas and fluid dynamics. Zbl 1392.35276
Zhang, Chun-Yi; Gao, Yi-Tian; Xu, Tao; Li, Li-Li; Sun, Fu-Wei; Li, Juan; Meng, Xiang-Hua; Wei, Guang-Mei
2
2008
The decomposed form of magnetoelastic beams with free faces. Zbl 1123.74033
Gao, Y.; Xu, B. X.; Zhao, B. S.
2
2007
Symbolic computation and observable effect for the (2 + 1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas. Zbl 1041.68134
Tian, Bo; Gao, Yi-Tian
2
2003
Extending the generalized tanh method to the generalized Hamiltonian equations: New soliton-like solutions. Zbl 0890.35136
Tian, Bo; Gao, Yi-Tian
2
1997
Exact solutions for the Bogoyavlenskiĭcoupled KdV equations. Zbl 1020.35526
Tian, Bo; Gao, Yi Tian
2
1995
On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics. Zbl 1437.35631
Jia, Ting-Ting; Gao, Yi-Tian; Feng, Yu-Jie; Hu, Lei; Su, Jing-Jing; Li, Liu-Qing; Ding, Cui-Cui
1
2019
Solitons, Bäcklund transformation and Lax pair for a variable-coefficient generalized Boussinesq system in the shallow water. Zbl 1366.37136
Lan, Zhong-Zhou; Gao, Yi-Tian; Zhao, Chen; Yang, Jin-Wei; Su, Chuan-Qi
1
2017
Improved Bell-polynomial procedure for the higher-order Korteweg-de Vries equations in fluid dynamics. Zbl 1410.35182
Shen, Yu-Jia; Gao, Yi-Tian; Meng, Gao-Qing; Qin, Yi; Yu, Xin
1
2016
Multi-soliton and double Wronskian solutions of a \((2+1)\)-dimensional modified Heisenberg ferromagnetic system. Zbl 1368.35256
Meng, Gao-Qing; Gao, Yi-Tian; Sun, Yu-Hao; Qin, Yi; Yu, Xin
1
2014
Analytical investigation of the Caudrey-Dodd-Gibbon-Kotera-Sawada equation using symbolic computation. Zbl 1270.37047
Xu, Xiao-Ge; Meng, Xiang-Hua; Zhang, Chun-Yi; Gao, Yi-Tian
1
2013
Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057
Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z.
1
2012
Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy. Zbl 1278.35218
Meng, Gao-Qing; Gao, Yi-Tian; Yu, Xin; Qin, Yi
1
2012
Analytic localized solitonic excitations for the \((2+1)\)-dimensional variable-coefficient breaking soliton model in fluids and plasmas. Zbl 1268.35104
Sun, Fu-Wei; Cai, Jiu-Xian; Gao, Yi-Tian
1
2012
Integrable hierarchy covering the lattice Burgers equation in fluid mechanics: \(N\)-fold Darboux transformation and conservation laws. Zbl 1264.37031
Wen, Xiao-Yong; Gao, Yi-Tian; Xue, Yu-Shan; Guo, Rui; Qi, Feng-Hua; Yu, Xin
1
2012
Infinite sequence of conservation laws and analytic solutions for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids. Zbl 1264.35204
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
1
2011
Investigations of pipe-diffusion-based dislocation climb by discrete dislocation dynamics. Zbl 06032963
Gao, Y.; Zhuang, Z.; Liu, Z. L.; You, X. C.; Zhao, X. C.; Zhang, Z. H.
1
2011
Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows. Zbl 1448.76087
Su, Jing-Jing; Gao, Yi-Tian; Ding, Cui-Cui
8
2019
Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves. Zbl 1430.37071
Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu
5
2019
Multi-breather wave solutions for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid. Zbl 1448.35390
Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui
5
2019
Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons. Zbl 1430.74073
Jia, Ting-Ting; Gao, Yi-Tian; Deng, Gao-Fu; Hu, Lei
4
2019
On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics. Zbl 1437.35631
Jia, Ting-Ting; Gao, Yi-Tian; Feng, Yu-Jie; Hu, Lei; Su, Jing-Jing; Li, Liu-Qing; Ding, Cui-Cui
1
2019
Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1379.35293
Huang, Qian-Min; Gao, Yi-Tian; Hu, Lei
5
2018
Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique. Zbl 1377.35057
Jia, Shu-Liang; Gao, Yi-Tian; Ding, Cui-Cui; Deng, Gao-Fu
8
2017
Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation. Zbl 1373.37163
Huang, Qian-Min; Gao, Yi-Tian; Jia, Shu-Liang; Wang, Ya-Le; Deng, Gao-Fu
7
2017
Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation. Zbl 1377.35056
Huang, Qian-Min; Gao, Yi-Tian
2
2017
Solitons, Bäcklund transformation and Lax pair for a variable-coefficient generalized Boussinesq system in the shallow water. Zbl 1366.37136
Lan, Zhong-Zhou; Gao, Yi-Tian; Zhao, Chen; Yang, Jin-Wei; Su, Chuan-Qi
1
2017
Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics. Zbl 1342.35305
Lan, Zhong-Zhou; Gao, Yi-Tian; Yang, Jin-Wei; Su, Chuan-Qi; Zhao, Chen; Gao, Zhe
4
2016
Exterior differential expression of the \((1+1)\)-dimensional nonlinear evolution equation with Lax integrability. Zbl 1360.37166
Su, Chuan-Qi; Gao, Yi-Tian; Yu, Xin; Xue, Long; Shen, Yu-Jia
2
2016
Improved Bell-polynomial procedure for the higher-order Korteweg-de Vries equations in fluid dynamics. Zbl 1410.35182
Shen, Yu-Jia; Gao, Yi-Tian; Meng, Gao-Qing; Qin, Yi; Yu, Xin
1
2016
Rogue waves for the generalized nonlinear Schrödinger-Maxwell-Bloch system in optical-fiber communication. Zbl 1315.35061
Zuo, Da-Wei; Gao, Yi-Tian; Xue, Long; Feng, Yu-Jie; Sun, Yu-Hao
7
2015
Dark solitonic interaction and conservation laws for a higher-order \((2+1)\)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction. Zbl 1360.82057
Wang, Qi-Min; Gao, Yi-Tian; Su, Chuan-Qi; Mao, Bing-Qing; Gao, Zhe; Yang, Jin-Wei
5
2015
A-priori direct numerical simulation assessment of sub-grid scale stress tensor closures for turbulent premixed combustion. Zbl 1390.80015
Klein, M.; Kasten, C.; Gao, Y.; Chakraborty, N.
4
2015
Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system. Zbl 1283.35116
Zuo, Da-Wei; Gao, Yi-Tian; Meng, Gao-Qing; Shen, Yu-Jia; Yu, Xin
18
2014
Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation. Zbl 1364.35317
Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing; Qin, Yi
5
2014
Rogue-wave interaction for a higher-order nonlinear Schrödinger-Maxwell-Bloch system in the optical-fiber communication. Zbl 1331.35096
Zuo, Da-Wei; Gao, Yi-Tian; Feng, Yu-Jie; Xue, Long
3
2014
Multi-soliton and double Wronskian solutions of a \((2+1)\)-dimensional modified Heisenberg ferromagnetic system. Zbl 1368.35256
Meng, Gao-Qing; Gao, Yi-Tian; Sun, Yu-Hao; Qin, Yi; Yu, Xin
1
2014
Dynamics of bound vector solitons induced by stochastic perturbations: soliton breakup and soliton switching. Zbl 1302.35351
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying
9
2013
Bell-polynomial application and multi-soliton solutions for the generalized variable-coefficient Drinfeld-Sokolov-Satsuma-Hirota system in fluids and plasmas. Zbl 1279.35080
Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin
2
2013
Analytical investigation of the Caudrey-Dodd-Gibbon-Kotera-Sawada equation using symbolic computation. Zbl 1270.37047
Xu, Xiao-Ge; Meng, Xiang-Hua; Zhang, Chun-Yi; Gao, Yi-Tian
1
2013
Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. Zbl 1356.35212
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
19
2012
Painlevé analysis, Lax pair, Bäcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV-mKdV equation in fluids and plasmas. Zbl 1260.37043
Meng, Gao-Qing; Gao, Yi-Tian; Yu, Xin; Shen, Yu-Jia; Qin, Yi
10
2012
Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas. Zbl 1356.76457
Wang, Lei; Gao, Yi-Tian; Sun, Zhi-Yuan; Qi, Feng-Hua; Meng, De-Xin; Lin, Guo-Dong
6
2012
\(N\)-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation. Zbl 1268.37085
Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua
5
2012
\(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves. Zbl 1291.35023
Wen, Xiao-Yong; Gao, Yi-Tian
3
2012
Dynamics of the Manakov-typed bound vector solitons with random initial perturbations. Zbl 1247.35125
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying
3
2012
Bell polynomial approach and \(N\)-soliton solutions for a coupled KdV-mKdV system. Zbl 1263.37078
Qin, Yi; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing
2
2012
Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system. Zbl 1297.76039
Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Xu, Peng-Bo
2
2012
Gauge transformation, elastic and inelastic interactions for the Whitham-Broer-Kaup shallow-water model. Zbl 1335.35223
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling
2
2012
Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057
Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z.
1
2012
Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy. Zbl 1278.35218
Meng, Gao-Qing; Gao, Yi-Tian; Yu, Xin; Qin, Yi
1
2012
Analytic localized solitonic excitations for the \((2+1)\)-dimensional variable-coefficient breaking soliton model in fluids and plasmas. Zbl 1268.35104
Sun, Fu-Wei; Cai, Jiu-Xian; Gao, Yi-Tian
1
2012
Integrable hierarchy covering the lattice Burgers equation in fluid mechanics: \(N\)-fold Darboux transformation and conservation laws. Zbl 1264.37031
Wen, Xiao-Yong; Gao, Yi-Tian; Xue, Yu-Shan; Guo, Rui; Qi, Feng-Hua; Yu, Xin
1
2012
Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water. Zbl 1392.35269
Wang, Lei; Gao, Yi-Tian; Meng, De-Xin; Gai, Xiao-Ling; Xu, Peng-Bo
10
2011
Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves. Zbl 1356.35205
Liu, Ying; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin
7
2011
Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model. Zbl 1419.76089
Lin, Guo-Dong; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Yu, Xin
6
2011
Extended double Wronskian solutions to the Whitham-Broer-Kaup equations in shallow water. Zbl 1284.35344
Lin, Guo-Dong; Gao, Yi-Tian; Gai, Xiao-Ling; Meng, De-Xin
5
2011
Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves. Zbl 1231.35217
Wen, Xiao-Yong; Gao, Yi-Tian; Wang, Lei
4
2011
Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes. Zbl 1221.35334
Gai, Xiao-Ling; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Lü, Xing; Sun, Zhi-Yuan; Yu, Xin
3
2011
Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves. Zbl 1420.76001
Lin, Guo-Dong; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin; Meng, De-Xin
3
2011
Painlevé analysis, soliton solutions and Bäcklund transformation for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics via symbolic computation. Zbl 1264.35179
Xu, Peng-Bo; Gao, Yi-Tian; Yu, Xin; Wang, Lei; Lin, Guo-Dong
2
2011
\(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1362.76018
Meng, Dexin; Gao, Yitian; Wang, Lei; Gai, Xiaoling
2
2011
Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics. Zbl 1380.76007
Xu, Pengbo; Gao, Yitian; Gai, Xiaoling; Meng, Dexin; Shen, Yujia; Wang, Lei
2
2011
N-soliton-like solutions and Bäcklund transformations for a non-isospectral and variable-coefficient modified Korteweg-de Vries equation. Zbl 1218.35207
Feng, Qian; Gao, Yi-Tian; Meng, Xiang-Hua; Yu, Xin; Sun, Zhi-Yuan; Xu, Tao; Tian, Bo
2
2011
Infinite sequence of conservation laws and analytic solutions for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids. Zbl 1264.35204
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
1
2011
Investigations of pipe-diffusion-based dislocation climb by discrete dislocation dynamics. Zbl 06032963
Gao, Y.; Zhuang, Z.; Liu, Z. L.; You, X. C.; Zhao, X. C.; Zhang, Z. H.
1
2011
Wedge indentation of a thin film on a substrate based on micromorphic plasticity. Zbl 1398.74223
Zhang, Z. H.; Liu, Z. L.; Liu, X. M.; Gao, Y.; Zhuang, Z.
1
2011
Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations. Zbl 1275.76227
Gai, Xiao-Ling; Gao, Yi-Tian; Yu, Xin; Wang, Lei
1
2011
\(N\)-soliton solutions for the \((2+1)\)-dimensional Hirota-Maccari equation in fluids, plasmas and optical fibers. Zbl 1213.35172
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Meng, Xiang-Hua; Liu, Ying; Feng, Qian; Wang, Ming-Zhen
1
2011
\(N\)-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg-de Vries equation. Zbl 1191.35242
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
22
2010
Multi-solitonic solutions for the variable-coefficient variant Boussinesq model of the nonlinear water waves. Zbl 1425.76044
Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua
10
2010
Darboux transformation and explicit solutions for discretized modified Korteweg-de Vries lattice equation. Zbl 1219.35266
Wen, Xiao-Yong; Gao, Yi-Tian
3
2010
Interactions of solitons in a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1202.76027
Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Gai, Xiao-Ling; Lin, Guo-Dong
3
2010
Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Zbl 1277.35310
Zhu, Shunhui; Gao, Yitian; Yu, Xin; Sun, Zhiyuan; Gai, Xiaoling; Meng, Dexin
3
2010
Darboux transformation and soliton solutions for a variable-coefficient modified Kortweg-de Vries model from fluid mechanics, ocean dynamics, and plasma mechanics. Zbl 1251.76005
Gai, Xiao-Ling; Gao, Yi-Tian; Meng, De-Xin; Wang, Lei; Sun, Zhi-Yuan; Lü, Xing; Feng, Qian; Wang, Ming-Zhen; Yu, Xin; Zhu, Shun-Hui
2
2010
An inexact SQP Newton method for convex SC\(^{1}\) minimization problems. Zbl 1197.90314
Chen, Y. D.; Gao, Y.; Liu, Y.-J.
2
2010
Vandermonde-type odd-soliton solutions for the Whitham-Broer-Kaup model in the shallow water small-amplitude regime. Zbl 1200.35274
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling; Yu, Xin; Sun, Zhi-Yuan
1
2010
Integrable properties for a generalized non-isospectral and variable-coefficient Korteweg-de Vries model. Zbl 1188.37066
Xu, Xiao-Ge; Meng, Xiang-Hua; Sun, Fu-Wei; Gao, Yi-Tian
1
2010
Inelastic interactions and double Wronskian solutions for the Whitham-Broer-Kaup model in shallow water. Zbl 1423.35321
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling; Sun, Zhi-Yuan
22
2009
Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics. Zbl 1231.37045
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Meng, Xiang-Hua; Liu, Ying
18
2009
Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics. Zbl 1162.76013
Xu, Xiaoge; Meng, Xianghua; Gao, Yitian; Wen, Xiaoyong
6
2009
Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves. Zbl 1181.35219
Meng, De-Xin; Gao, Yi-Tian; Gai, Xiao-Ling; Wang, Lei; Yu, Xin; Sun, Zhi-Yuan; Wang, Ming-Zhen; Lü, Xing
3
2009
The Painlevé integrability and \(N\)-solitonic solution in terms of the Wronskian determinant for a variable-coefficient variant Boussinesq model of nonlinear waves. Zbl 1180.37110
Wang, Ming-Zhen; Gao, Yi-Tian; Zhang, Cheng; Meng, Xiang-Hua; Yu, Xin; Xu, Tao; Feng, Qian
1
2009
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
Various methods for constructing auto-Bäcklund transformations for a generalized variable-coefficient Korteweg-de Vries model from plasmas and fluid dynamics. Zbl 1392.35276
Zhang, Chun-Yi; Gao, Yi-Tian; Xu, Tao; Li, Li-Li; Sun, Fu-Wei; Li, Juan; Meng, Xiang-Hua; Wei, Guang-Mei
2
2008
Bäcklund transformation and analytic solutions for a generalized variable-coefficient modified Korteweg-de Vries model from fluid dynamics and plasmas. Zbl 1175.35130
Sun, Fu-Wei; Gao, Yi-Tian; Zhang, Chun-Yi; Xu, Xiao-Ge
1
2008
Symbolic computation on integrable decompositions for the cylindrical Kadomtsev-Petviashvili equation from dusty plasmas and Bose-Einstein condensates. Zbl 1175.76169
Li, Juan; Xu, Tao; Zhang, Hai-Qiang; Gao, Yi-Tian; Tian, Bo
1
2008
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
51
2007
Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas. Zbl 1197.82028
Tian, Bo; Gao, Yi-Tian
44
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
42
2007
The refined theory of beams for a transversely isotropic body. Zbl 1140.74474
Gao, Y.; Xu, B. X.; Zhao, B. S.
8
2007
The refined theory of rectangular curved beams. Zbl 1117.74031
Gao, Y.; Wang, M. Z.; Zhao, B. S.
6
2007
The decomposed form of magnetoelastic beams with free faces. Zbl 1123.74033
Gao, Y.; Xu, B. X.; Zhao, B. S.
2
2007
Multiple soliton-like solutions and similarity reductions of a spherical Kadomtsev-Petviashvili equation from plasma physics. Zbl 1355.35040
Li, Ye-Zhou; Liu, Jian-Guo; Wei, Guang-Mei; Gao, Yi-Tian
1
2007
On the boundary conditions for transversely isotropic piezoelectric plates. Zbl 1192.74231
Xu, S. P.; Gao, Y.; Wang, W.
1
2007
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
47
2006
Integrable properties of a variable-coefficient Korteweg-de Vries model from Bose-Einstein condensates and fluid dynamics. Zbl 1148.82308
Zhang, Chun-Yi; Gao, Yi-Tian; Meng, Xiang-Hua; Li, Juan; Xu, Tao; Wei, Guang-Mei; Zhu, Hong-Wu
11
2006
Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation. Zbl 1189.35296
Wei, Guang-Mei; Gao, Yi-Tian; Hu, Wei; Zhang, Chun-Yi
9
2006
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
8
2006
Differences of polyhedra in matrix space and their applications to nonsmooth analysis. Zbl 1123.49012
Gao, Y.
3
2006
Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers. Zbl 1222.78043
Tian, Bo; Gao, Yi-Tian
41
2005
Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation. Zbl 1145.35451
Tian, Bo; Gao, Yi-Tian
36
2005
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
A refined beam theory based on the refined plate theory. Zbl 1078.74022
Gao, Y.; Wang, M. Z.
8
2005
\((2+1)\)-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
The refined theory of magnetoelastic rectangular beams. Zbl 1067.74019
Gao, Y.; Wang, M. Z.
9
2004
Representation of the Clarke generalized Jacobian via the quasidifferential. Zbl 1059.49023
Gao, Y.
5
2004
On the two-dimensional regularized long-wave equation in fluids and plasmas. Zbl 1064.76018
Tian, Bo; Li, Wei; Gao, Yitian
4
2003
Symbolic computation and observable effect for the (2 + 1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas. Zbl 1041.68134
Tian, Bo; Gao, Yi-Tian
2
2003
Certain dark-solitonic features in optical fibres. Zbl 1046.78010
Tian, Bo; Gao, Yi-Tian; Xu, Xiao-Ge
1
2003
The solitonic features of a nonintegrable (3+1)-dimensional Jimbo-Miwa equation. Zbl 1053.37059
Tian, Bo; Gao, Yi-Tian; Hong, Woopyo.
9
2002
Some two-dimensional and non-travelling-wave observable effects of the shallow-water waves. Zbl 0997.76013
Gao, Yitian; Bo, Tian
4
2002
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
32
2001
Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization. Zbl 1050.90568
Gao, Y.
18
2000
Computerized symbolic computation for the cylindrical Korteweg-de Vries equation. Zbl 0945.65104
Gao, Yi-Tian; Tian, Bo
1
1999
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
Generalized variable-coefficient KP equation. Zbl 0929.35135
Gao, Yitian; Tian, Bo
1
1998
...and 14 more Documents
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Cited by 618 Authors

91 Tian, Bo
53 Gao, Yitian
24 Liu, Wenjun J.
23 Yu, Xin
22 Meng, Xianghua
20 Xu, Tao
19 Jiang, Yan
18 Lü, Xing
17 Sun, Zhiyuan
16 Wang, Pan
15 Li, Min
15 Zhang, Hongqing
12 Sun, Kun
12 Wang, Lei
11 Meng, Dexin
11 Zhang, Haiqiang
10 Wei, Guangmei
10 Zhang, Chun-Yi
9 Gai, Xiaoling
9 Gao, Yang
9 Qu, Qixing
8 Qi, Fenghua
8 Wang, Ming
8 Zhen, Hui-Ling
7 Biswas, Anjan
7 Chen, Yong
7 Li, Juan
7 Liu, Jian Guo
7 Liu, Ying
7 Sun, Wen-Rong
7 Xue, Yushan
6 Li, Bangqing
6 Li, Biao
6 Li, Lili
6 Liu, Jianguo
6 Ma, Yulan
6 Meng, Gao-Qing
6 Qin, Bo
6 Shan, Wenrui
6 Song, Lina
6 Wang, Yufeng
6 Wen, Xiaoyong
6 Zhang, Sheng
6 Zhang, Yi
5 Feng, Yu-Jie
5 Gao, Yaxin
5 Li, Xiaonan
5 Liang, Yueqian
5 Shen, Yujia
5 Tang, Yaning
5 Yu, Fajun
5 Zhang, Cheng
5 Zhao, Baosheng
5 Zhu, Hongwu
5 Zuo, Dawei
4 Cheng, Li
4 Dehghan Takht Fooladi, Mehdi
4 Fan, Engui
4 Guo, Rui
4 Kofané, Timoléon Crépin
4 Li, He
4 Lin, Zhiqiang
4 Ma, Wen-Xiu
4 Sun, Ya
4 Tian, Shoufu
4 Triki, Houria
4 Wazwaz, Abdul-Majid Abdul-Rahman
4 Xu, Xiaoge
3 Ai, Guo-Ping
3 Chen, Yiren
3 Feng, Qian
3 Gao, Xin-Yi
3 Gao, Yan
3 Hong, Woo-Pyo
3 Huang, Qian-Min
3 Lan, Zhongzhou
3 Li, Dejun
3 Lin, Guo-Dong
3 Liu, Lei
3 Liu, Li-Cai
3 Ma, Zhengyi
3 Mirzazadeh, Mohammad
3 Pakzad, Hamid Reza
3 Qin, Yi
3 Russo, Matthew
3 Sarma, Jnanjyoti
3 Singh, Manjit
3 Sun, Yuhao
3 Wang, Ming-Zhen
3 Wang, Minzhong
3 Wang, Qi
3 Xie, Fuding
3 Xu, Pengbo
3 Xue, Long
3 Yan, Zhenya
3 Yin, Hui-Min
3 Zhang, Chen-Rong
3 Zhang, Tiantian
3 Zhu, Wenhui
2 Abbaszadeh, Mostafa
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Cited in 94 Serials

70 Nonlinear Dynamics
65 Applied Mathematics and Computation
25 Computers & Mathematics with Applications
23 Applied Mathematics Letters
18 International Journal of Modern Physics B
17 Acta Mechanica
16 Communications in Nonlinear Science and Numerical Simulation
12 Journal of Mathematical Physics
10 Chaos, Solitons and Fractals
8 International Journal of Modern Physics C
7 International Journal of Theoretical Physics
6 Mathematical Methods in the Applied Sciences
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Advances in Difference Equations
5 Physics Letters. A
5 Journal of Computational and Applied Mathematics
5 Journal of Optimization Theory and Applications
5 Annals of Physics
5 Journal of Modern Optics
5 Communications in Theoretical Physics
5 Advances in Mathematical Physics
4 Studies in Applied Mathematics
4 International Journal of Computer Mathematics
4 Abstract and Applied Analysis
4 International Journal of Nonlinear Sciences and Numerical Simulation
3 Applicable Analysis
3 Astrophysics and Space Science
3 Computers and Fluids
3 Journal of Mathematical Analysis and Applications
3 Mathematical Problems in Engineering
3 Chaos
3 Journal of Nonlinear Mathematical Physics
3 Analysis and Mathematical Physics
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2 Computer Physics Communications
2 Physica A
2 Reports on Mathematical Physics
2 Theoretical and Mathematical Physics
2 Wave Motion
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Optimization
2 Computational Mathematics and Mathematical Physics
2 Computational and Applied Mathematics
2 Complexity
2 European Journal of Mechanics. A. Solids
2 Nonlinear Analysis. Real World Applications
2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
2 Science in China. Series G
2 The European Physical Journal B. Condensed Matter and Complex Systems
2 Axioms
1 Modern Physics Letters A
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1 International Journal of Modern Physics A
1 Earth, Moon, and Planets
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
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1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Quaestiones Mathematicae
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1 Applied Mathematics and Mechanics. (English Edition)
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1 Top
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1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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1 Journal of Nonlinear Science and Applications
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