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Xia, Tie-Cheng

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Author ID: xia.tie-cheng Recent zbMATH articles by "Xia, Tie-Cheng"
Published as: Xia, T.; Xia, Tie-Cheng; Xia, Tie-cheng; Xia, Tiecheng
Homepage: http://www.sci.shu.edu.cn/Default.aspx?tabid=17204&ctl=Detail&mid=31211&Id=60007...
Documents Indexed: 163 Publications since 1999
all top 5

Serials

22 Chaos, Solitons and Fractals
11 Communications in Theoretical Physics
9 Applied Mathematics and Computation
7 Acta Mathematica Scientia. Series A. (Chinese Edition)
6 Chinese Quarterly Journal of Mathematics
6 Communication on Applied Mathematics and Computation
5 Journal of Mathematical Physics
5 Physics Letters. A
5 Journal of Shanghai University. Natural Science
5 Communications in Nonlinear Science and Numerical Simulation
5 Chinese Journal of Engineering Mathematics
4 Mathematical Methods in the Applied Sciences
4 Journal of Shanghai University
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Applied Mathematics E-Notes
4 Journal of Bohai University. Natural Science Edition
3 Chinese Annals of Mathematics. Series A
3 Applied Mathematics Letters
3 Abstract and Applied Analysis
3 Journal of Applied Mathematics
2 Computers & Mathematics with Applications
2 Annals of Differential Equations
2 Journal of Dalian University of Technology
2 Nonlinear Dynamics
2 Advances in Difference Equations
2 Frontiers of Mathematics in China
2 Advances in Mathematical Physics
1 Modern Physics Letters A
1 Modern Physics Letters B
1 International Journal of Theoretical Physics
1 Reports on Mathematical Physics
1 Journal of Mathematics. Wuhan University
1 Applied Mathematics and Mechanics. (English Edition)
1 Advances in Mathematics
1 Journal of Systems Science and Mathematical Sciences
1 Acta Mathematicae Applicatae Sinica. English Series
1 Mathematica Applicata
1 Annals of Physics
1 Applied Mathematics. Series A (Chinese Edition)
1 Mathematical Problems in Engineering
1 Far East Journal of Applied Mathematics
1 Journal of Gansu University of Technology
1 Discrete Dynamics in Nature and Society
1 Physica Scripta
1 Far East Journal of Dynamical Systems
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Proceedings of the Romanian Academy. Series A: Mathematics, Physics, Technical Sciences, Information Science
1 Complex Variables and Elliptic Equations
1 Complex Analysis and Operator Theory
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Mathematical Control Science and Applications
1 Journal of Nonlinear Science and Applications
1 Communications in Mathematical Research
1 Analysis and Mathematical Physics
1 Journal of Mathematical Research with Applications
1 Journal of Applied Analysis and Computation
1 Kuwait Journal of Science
1 Annals of Applied Mathematics

Publications by Year

Citations contained in zbMATH

84 Publications have been cited 479 times in 325 Documents Cited by Year
A generalized new auxiliary equation method and its applications to nonlinear partial differential equations. Zbl 1197.35008
Zhang, Sheng; Xia, Tiecheng
26
2007
A generalized \(F\)-expansion method and new exact solutions of Konopelchenko–Dubrovsky equations. Zbl 1111.35318
Zhang, Sheng; Xia, Tiecheng
23
2006
A generalized auxiliary equation method and its application to (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov equations. Zbl 1105.35320
Zhang, Sheng; Xia, Tie-Cheng
21
2007
A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1160.37404
Zhang, Sheng; Xia, Tiecheng
18
2006
Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations. Zbl 1078.35118
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
17
2005
Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrovsky equations. Zbl 1049.35171
Xia, Tie-cheng; Lü, Zhuo-sheng; Zhang, Hong-qing
16
2004
The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions. Zbl 1102.37044
Yu, Fajun; Xia, Tiecheng; Zhang, Hongqing
15
2006
New explicit and exact solutions for the Nizhnik-Novikov-Vesselov equation. Zbl 0996.35066
Xia, Tiecheng; Li, Biao; Zhang, Hongqing
15
2001
The multicomponent generalized Kaup-Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions. Zbl 1067.37103
Xia, Tiecheng; Fan, Engui
14
2005
A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line. Zbl 1403.35193
Zhang, Ning; Xia, Tie-cheng; Fan, En-gui
12
2018
A further improved tanh function method exactly solving the \((2+1)\)-dimensional dispersive long wave equations. Zbl 1161.35496
Zhang, Sheng; Xia, Tie-cheng
12
2008
Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. Zbl 1117.65143
Zhang, Sheng; Xia, Tiecheng
12
2006
Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line. Zbl 1427.35232
Hu, Bei-Bei; Xia, Tie-Cheng; Ma, Wen-Xiu
11
2018
\(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system. Zbl 1448.37086
Zhang, Ning; Xia, Tiecheng; Jin, QiuYan
11
2018
The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions. Zbl 1088.37038
Xia, Tiecheng; Yu, Fajun; Chen, Dengyuan
10
2005
Pfaffianized systems for a generalized Kadomtsev-Petviashvili equation. Zbl 1277.35306
Ma, Wen-Xiu; Xia, Tiecheng
9
2013
The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures. Zbl 1142.37047
You, Fucai; Xia, Tiecheng
9
2008
Symbolic computation and new families of exact non-travelling wave solutions to \((3 + 1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1155.65385
Zhang, Sheng; Xia, Tiecheng
9
2006
Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line. Zbl 1401.35025
Hu, Bei-bei; Xia, Tie-cheng; Zhang, Ning; Wang, Jin-bo
8
2018
An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations. Zbl 1221.35384
Zhang, Sheng; Xia, Tiecheng
8
2008
A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system. Zbl 1071.37047
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
8
2005
A Riemann-Hilbert approach to complex Sharma-Tasso-Olver equation on half line. Zbl 1382.35261
Zhang, Ning; Xia, Tie-Cheng; Hu, Bei-Bei
7
2017
A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations. Zbl 1217.35154
Wu, Guo-Cheng; Xia, Tie-Cheng
7
2008
New exact traveling wave solutions for compound KdV-Burgers equations in mathematical physics. Zbl 0996.35068
Zheng, Xuedong; Xia, Tiecheng; Zhang, Hongqing
7
2002
A hierarchy of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformations. Zbl 1401.37082
Zhang, Ning; Xia, Tiecheng
6
2015
Conservation laws for a super G-J hierarchy with self-consistent sources. Zbl 1245.37011
Wang, Hui; Xia, Tie-Cheng
6
2012
A new method for constructing soliton solutions to differential-difference equation with symbolic computation. Zbl 1197.35250
Wu, Guo-Cheng; Xia, Tie-Cheng
6
2009
A generalized \(F\)-expansion method with symbolic computation exactly solving Broer-Kaup equations. Zbl 1122.65095
Zhang, Sheng; Xia, Tiecheng
6
2007
A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system. Zbl 1099.37052
Xia, Tiecheng; You, Fucai
6
2006
Multi-component \(C\)-KdV hierarchy of soliton equations and its multi-component integrable coupling system. Zbl 1167.37351
Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan
6
2004
A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half-line. Zbl 1397.35274
Hu, Beibei; Xia, Tiecheng
5
2018
Super Jaulent-Miodek hierarchy and its super Hamiltonian structure, conservation laws and its self-consistent sources. Zbl 1309.37057
Wang, Hui; Xia, Tiecheng
5
2014
Bell polynomial approach to an extended Korteweg-de Vries equation. Zbl 1304.37052
Wang, Hui; Xia, Tiecheng
5
2014
Conservation laws and self-consistent sources for a super KN hierarchy. Zbl 1284.35382
Wang, Hui; Xia, Tiecheng
5
2013
Super-KN hierarchy and its super-Hamiltonian structure. Zbl 1264.37027
Mo, Si-Xing; Xia, Tie-Cheng; Shi, Hui
5
2011
Two super-integrable hierarchies and their super-Hamiltonian structures. Zbl 1221.37135
Tao, Sixing; Xia, Tiecheng
5
2011
Decomposition of the generalized KP, cKP and mKP and their exact solutions. Zbl 1220.35136
You, Fucai; Xia, Tiecheng; Chen, Dengyuan
5
2008
A generalized cubic Volterra lattice hierarchy and its integrable couplings system. Zbl 1083.37052
Xia, Tiecheng; You, Fucai; Chen, Dengyuan
5
2006
The fractional supertrace identity and its application to the super Jaulent-Miodek hierarchy. Zbl 1306.37083
Wang, Hui; Xia, Tie-Cheng
4
2013
The fractional supertrace identity and its application to the super Ablowitz-Kaup-Newell-Segur hierarchy. Zbl 1298.37060
Wang, Hui; Xia, Tie-Cheng
4
2013
Variable-coefficient Jacobi elliptic function expansion method for (2+1)-dimensional Nizhnik-Novikov-Vesselov equations. Zbl 1229.35254
Zhang, Sheng; Xia, Tiecheng
4
2011
Exact solutions of (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation with symbolic computation. Zbl 1201.81051
Xia, Tiecheng; Xiong, Shouquan
4
2010
Uniformly constructing exact discrete soliton solutions and periodic solutions to differential-difference equations. Zbl 1189.34123
Wu, Guo-Cheng; Xia, Tie-Cheng
4
2009
Frobenius integrable decompositions for two classes of nonlinear evolution equations with variable coefficients. Zbl 1185.37151
You, Fucai; Xia, Tiecheng; Zhang, Jiao
4
2009
Integrable couplings of the generalized AKNS hierarchy with an arbitrary function and its bi-Hamiltonian structure. Zbl 1136.81385
You, Fucai; Xia, Tiecheng
4
2007
The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions. Zbl 1093.37028
Xia, Tiecheng; You, Fucai
4
2005
A generalized AKNS hierarchy and its bi-Hamiltonian structures. Zbl 1071.37048
Xia, Tiecheng; You, Fucai; Chen, Dengyuan
4
2005
Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy. Zbl 1302.37043
Yue, Chao; Xia, Tiecheng
3
2014
Nonclassical symmetry of the wave equation with source term. Zbl 1265.35193
Temuer, Chaolu; Eerdun, Buhe; Xia, Tiecheng
3
2012
Variable-coefficient extended mapping method for nonlinear evolution equations. Zbl 1220.81102
Zhang, Sheng; Xia, Tiecheng
3
2008
Two types of new Lie algebras and corresponding hierarchies of evolution equations. Zbl 1135.37332
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
3
2005
Multi-component SC Lax integrable hierarchy of soliton equations and its multi-component integrable coupling system with two arbitrary functions. Zbl 1167.37352
Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan; Zhang, Yi
3
2004
Dromion and other exact solutions of \((2+1)\)-dimensional dispersive long water equations. Zbl 1062.35093
Xia, Tie-Cheng; Chen, Deng-Yuan
3
2004
A Lax integrable hierarchy, bi-Hamiltonian structure and finite-dimensional Liouville integrable involutive systems. Zbl 1060.37062
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
3
2004
New explicit and exact travelling wave solutions for a class of nonlinear evolution equations. Zbl 0982.35101
Xia, Tiecheng; Zhang, Hongqing; Yan, Zhenya
3
2001
Image encryption technology based on fractional two-dimensional triangle function combination discrete chaotic map coupled with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1417.94070
Liu, Zeyu; Xia, Tiecheng; Wang, Jinbo
2
2018
A new negative discrete hierarchy and its \(N\)-fold Darboux transformation. Zbl 1382.37072
Zhang, Ning; Xia, Tie-Cheng
2
2017
Self-consistent sources and conservation laws for nonlinear integrable couplings of the Li soliton hierarchy. Zbl 1364.37149
Wei, Han-yu; Xia, Tie-cheng
2
2013
New integrable couplings of generalized Kaup-Newell hierarchy and its Hamiltonian structures. Zbl 1247.37053
Xia, Tie-Cheng; Zang, Gao-Lian; Fan, En. Gui
2
2011
Three nonlinear integrable couplings of the nonlinear Schrödinger equations. Zbl 1225.37076
Wang, Hui; Xia, Tie-cheng
2
2011
A new integrable couplings of classical-Boussinesq hierarchy with self-consistent sources. Zbl 1221.37125
Ge, Jian-Ya; Xia, Tie-Cheng
2
2010
A new loop algebra \(\tilde A_5\) and its applications to integrable system. Zbl 1142.37366
You, Fucai; Xia, Tiecheng
2
2008
A new loop algebra and its application to the multi-component S-mKdV hierarchy. Zbl 1130.37034
Xia, Tiecheng; Jiao, Zhang; You, Fucai
2
2007
The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system. Zbl 1070.35045
Xia, Tiecheng; Yu, Fa-Jun; Chen, Dengyuan
2
2005
On the Riemann-Hilbert problem of the Kundu equation. Zbl 07208683
Hu, Beibei; Zhang, Ling; Xia, Tiecheng; Zhang, Ning
1
2020
Dynamics of abundant solutions to the \((3 + 1)\)-dimensional generalized yu-Toda-Sasa-Fukuyama equation. Zbl 1436.35066
Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei
1
2020
Abundant multiwave solutions to the \((3+1)\)-dimensional Sharma-Tasso-Olver-like equation. Zbl 07260027
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu
1
2019
Constructing variable coefficient nonlinear integrable coupling super AKNS hierarchy and its self-consistent sources. Zbl 1402.35235
Wei, Hanyu; Xia, Tiecheng
1
2018
Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures. Zbl 1406.35330
Hu, Beibei; Ma, Wen-xiu; Xia, Tiecheng; Zhang, Ling
1
2018
\(2N + 1\)-soliton solutions of Boussinesq-Burgers equation. Zbl 1389.35117
Li, Qian; Xia, Tiecheng; Chen, Dengyuan
1
2017
A new soliton hierarchy associated with \(\mathrm{so} (3, \mathbb R)\) and its conservation laws. Zbl 1400.37082
Wei, Hanyu; Xia, Tiecheng; He, Guoliang
1
2016
Double periodic wave solutions of the (2 + 1)-dimensional Sawada-Kotera equation. Zbl 07022567
Zhao, Zhonglong; Zhang, Yufeng; Xia, Tiecheng
1
2014
A generalization of the Wadati-Konno-Ichikawa soliton hierarchy and its Liouville integrability. Zbl 1401.37071
Ma, Wen-Xiu; Xia, Tiecheng; Zhu, Zuonong
1
2014
Nonlinear super integrable couplings of super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures. Zbl 1291.37098
Tao, Sixing; Xia, Tiecheng
1
2013
The fractional quadratic-form identity and Hamiltonian structure of an integrable coupling of the fractional Ablowitz-Kaup-Newell-segur hierarchy. Zbl 1298.37062
Yue, Chao; Xia, Tiecheng
1
2013
The conservation laws and self-consistent sources for a super-Yang hierarchy. Zbl 1268.37084
Xia, Tiecheng; Chaolu, Temuer
1
2012
New integrable couplings of the Tu hierarchy with self-consistent sources. Zbl 1274.35314
Xia, Tiecheng; Zhang, Dengpeng; Temuer, Chaolu
1
2012
Binary nonlinearization of super Broer-Kaup-Kupershmidt hierarchy. Zbl 1265.35290
Tao, Sixing; Xia, Tiecheng
1
2012
Handling the fractional Boussinesq-like equation by the fractional variational iteration method. Zbl 1265.35283
Gu, Jialei; Xia, Tiecheng
1
2011
A new Lie algebra and corresponding evolution equations hierarchy. Zbl 1197.37083
Xia, Tiecheng; Ma, Chunzhen
1
2009
The multi-component dispersive long wave equation hierarchy, its integrable couplings and their Hamiltonian structures. Zbl 1157.37333
You, Fucai; Xia, Tiecheng
1
2008
New families of exact soliton-like solutions and dromion solutions to the \((2+1)\)-dimensional higher-order Broer-Kaup equations. Zbl 1070.35078
Xia, Tiecheng; Chen, Dengyuan
1
2005
The multi-component Yang hierarchy and its multi-component integrable coupling system with two arbitrary functions. Zbl 1064.37056
Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan
1
2005
Integrable couplings of the coupled Burgers hierarchy. Zbl 1167.37350
Xia, Tie-Cheng; Chen, Xiao-Hong; Chen, Deng-Yuan; Zhang, Yu-Feng
1
2004
On the Riemann-Hilbert problem of the Kundu equation. Zbl 07208683
Hu, Beibei; Zhang, Ling; Xia, Tiecheng; Zhang, Ning
1
2020
Dynamics of abundant solutions to the \((3 + 1)\)-dimensional generalized yu-Toda-Sasa-Fukuyama equation. Zbl 1436.35066
Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei
1
2020
Abundant multiwave solutions to the \((3+1)\)-dimensional Sharma-Tasso-Olver-like equation. Zbl 07260027
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu
1
2019
A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line. Zbl 1403.35193
Zhang, Ning; Xia, Tie-cheng; Fan, En-gui
12
2018
Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line. Zbl 1427.35232
Hu, Bei-Bei; Xia, Tie-Cheng; Ma, Wen-Xiu
11
2018
\(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system. Zbl 1448.37086
Zhang, Ning; Xia, Tiecheng; Jin, QiuYan
11
2018
Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line. Zbl 1401.35025
Hu, Bei-bei; Xia, Tie-cheng; Zhang, Ning; Wang, Jin-bo
8
2018
A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half-line. Zbl 1397.35274
Hu, Beibei; Xia, Tiecheng
5
2018
Image encryption technology based on fractional two-dimensional triangle function combination discrete chaotic map coupled with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1417.94070
Liu, Zeyu; Xia, Tiecheng; Wang, Jinbo
2
2018
Constructing variable coefficient nonlinear integrable coupling super AKNS hierarchy and its self-consistent sources. Zbl 1402.35235
Wei, Hanyu; Xia, Tiecheng
1
2018
Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures. Zbl 1406.35330
Hu, Beibei; Ma, Wen-xiu; Xia, Tiecheng; Zhang, Ling
1
2018
A Riemann-Hilbert approach to complex Sharma-Tasso-Olver equation on half line. Zbl 1382.35261
Zhang, Ning; Xia, Tie-Cheng; Hu, Bei-Bei
7
2017
A new negative discrete hierarchy and its \(N\)-fold Darboux transformation. Zbl 1382.37072
Zhang, Ning; Xia, Tie-Cheng
2
2017
\(2N + 1\)-soliton solutions of Boussinesq-Burgers equation. Zbl 1389.35117
Li, Qian; Xia, Tiecheng; Chen, Dengyuan
1
2017
A new soliton hierarchy associated with \(\mathrm{so} (3, \mathbb R)\) and its conservation laws. Zbl 1400.37082
Wei, Hanyu; Xia, Tiecheng; He, Guoliang
1
2016
A hierarchy of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformations. Zbl 1401.37082
Zhang, Ning; Xia, Tiecheng
6
2015
Super Jaulent-Miodek hierarchy and its super Hamiltonian structure, conservation laws and its self-consistent sources. Zbl 1309.37057
Wang, Hui; Xia, Tiecheng
5
2014
Bell polynomial approach to an extended Korteweg-de Vries equation. Zbl 1304.37052
Wang, Hui; Xia, Tiecheng
5
2014
Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy. Zbl 1302.37043
Yue, Chao; Xia, Tiecheng
3
2014
Double periodic wave solutions of the (2 + 1)-dimensional Sawada-Kotera equation. Zbl 07022567
Zhao, Zhonglong; Zhang, Yufeng; Xia, Tiecheng
1
2014
A generalization of the Wadati-Konno-Ichikawa soliton hierarchy and its Liouville integrability. Zbl 1401.37071
Ma, Wen-Xiu; Xia, Tiecheng; Zhu, Zuonong
1
2014
Pfaffianized systems for a generalized Kadomtsev-Petviashvili equation. Zbl 1277.35306
Ma, Wen-Xiu; Xia, Tiecheng
9
2013
Conservation laws and self-consistent sources for a super KN hierarchy. Zbl 1284.35382
Wang, Hui; Xia, Tiecheng
5
2013
The fractional supertrace identity and its application to the super Jaulent-Miodek hierarchy. Zbl 1306.37083
Wang, Hui; Xia, Tie-Cheng
4
2013
The fractional supertrace identity and its application to the super Ablowitz-Kaup-Newell-Segur hierarchy. Zbl 1298.37060
Wang, Hui; Xia, Tie-Cheng
4
2013
Self-consistent sources and conservation laws for nonlinear integrable couplings of the Li soliton hierarchy. Zbl 1364.37149
Wei, Han-yu; Xia, Tie-cheng
2
2013
Nonlinear super integrable couplings of super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures. Zbl 1291.37098
Tao, Sixing; Xia, Tiecheng
1
2013
The fractional quadratic-form identity and Hamiltonian structure of an integrable coupling of the fractional Ablowitz-Kaup-Newell-segur hierarchy. Zbl 1298.37062
Yue, Chao; Xia, Tiecheng
1
2013
Conservation laws for a super G-J hierarchy with self-consistent sources. Zbl 1245.37011
Wang, Hui; Xia, Tie-Cheng
6
2012
Nonclassical symmetry of the wave equation with source term. Zbl 1265.35193
Temuer, Chaolu; Eerdun, Buhe; Xia, Tiecheng
3
2012
The conservation laws and self-consistent sources for a super-Yang hierarchy. Zbl 1268.37084
Xia, Tiecheng; Chaolu, Temuer
1
2012
New integrable couplings of the Tu hierarchy with self-consistent sources. Zbl 1274.35314
Xia, Tiecheng; Zhang, Dengpeng; Temuer, Chaolu
1
2012
Binary nonlinearization of super Broer-Kaup-Kupershmidt hierarchy. Zbl 1265.35290
Tao, Sixing; Xia, Tiecheng
1
2012
Super-KN hierarchy and its super-Hamiltonian structure. Zbl 1264.37027
Mo, Si-Xing; Xia, Tie-Cheng; Shi, Hui
5
2011
Two super-integrable hierarchies and their super-Hamiltonian structures. Zbl 1221.37135
Tao, Sixing; Xia, Tiecheng
5
2011
Variable-coefficient Jacobi elliptic function expansion method for (2+1)-dimensional Nizhnik-Novikov-Vesselov equations. Zbl 1229.35254
Zhang, Sheng; Xia, Tiecheng
4
2011
New integrable couplings of generalized Kaup-Newell hierarchy and its Hamiltonian structures. Zbl 1247.37053
Xia, Tie-Cheng; Zang, Gao-Lian; Fan, En. Gui
2
2011
Three nonlinear integrable couplings of the nonlinear Schrödinger equations. Zbl 1225.37076
Wang, Hui; Xia, Tie-cheng
2
2011
Handling the fractional Boussinesq-like equation by the fractional variational iteration method. Zbl 1265.35283
Gu, Jialei; Xia, Tiecheng
1
2011
Exact solutions of (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation with symbolic computation. Zbl 1201.81051
Xia, Tiecheng; Xiong, Shouquan
4
2010
A new integrable couplings of classical-Boussinesq hierarchy with self-consistent sources. Zbl 1221.37125
Ge, Jian-Ya; Xia, Tie-Cheng
2
2010
A new method for constructing soliton solutions to differential-difference equation with symbolic computation. Zbl 1197.35250
Wu, Guo-Cheng; Xia, Tie-Cheng
6
2009
Uniformly constructing exact discrete soliton solutions and periodic solutions to differential-difference equations. Zbl 1189.34123
Wu, Guo-Cheng; Xia, Tie-Cheng
4
2009
Frobenius integrable decompositions for two classes of nonlinear evolution equations with variable coefficients. Zbl 1185.37151
You, Fucai; Xia, Tiecheng; Zhang, Jiao
4
2009
A new Lie algebra and corresponding evolution equations hierarchy. Zbl 1197.37083
Xia, Tiecheng; Ma, Chunzhen
1
2009
A further improved tanh function method exactly solving the \((2+1)\)-dimensional dispersive long wave equations. Zbl 1161.35496
Zhang, Sheng; Xia, Tie-cheng
12
2008
The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures. Zbl 1142.37047
You, Fucai; Xia, Tiecheng
9
2008
An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations. Zbl 1221.35384
Zhang, Sheng; Xia, Tiecheng
8
2008
A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations. Zbl 1217.35154
Wu, Guo-Cheng; Xia, Tie-Cheng
7
2008
Decomposition of the generalized KP, cKP and mKP and their exact solutions. Zbl 1220.35136
You, Fucai; Xia, Tiecheng; Chen, Dengyuan
5
2008
Variable-coefficient extended mapping method for nonlinear evolution equations. Zbl 1220.81102
Zhang, Sheng; Xia, Tiecheng
3
2008
A new loop algebra \(\tilde A_5\) and its applications to integrable system. Zbl 1142.37366
You, Fucai; Xia, Tiecheng
2
2008
The multi-component dispersive long wave equation hierarchy, its integrable couplings and their Hamiltonian structures. Zbl 1157.37333
You, Fucai; Xia, Tiecheng
1
2008
A generalized new auxiliary equation method and its applications to nonlinear partial differential equations. Zbl 1197.35008
Zhang, Sheng; Xia, Tiecheng
26
2007
A generalized auxiliary equation method and its application to (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov equations. Zbl 1105.35320
Zhang, Sheng; Xia, Tie-Cheng
21
2007
A generalized \(F\)-expansion method with symbolic computation exactly solving Broer-Kaup equations. Zbl 1122.65095
Zhang, Sheng; Xia, Tiecheng
6
2007
Integrable couplings of the generalized AKNS hierarchy with an arbitrary function and its bi-Hamiltonian structure. Zbl 1136.81385
You, Fucai; Xia, Tiecheng
4
2007
A new loop algebra and its application to the multi-component S-mKdV hierarchy. Zbl 1130.37034
Xia, Tiecheng; Jiao, Zhang; You, Fucai
2
2007
A generalized \(F\)-expansion method and new exact solutions of Konopelchenko–Dubrovsky equations. Zbl 1111.35318
Zhang, Sheng; Xia, Tiecheng
23
2006
A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1160.37404
Zhang, Sheng; Xia, Tiecheng
18
2006
The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions. Zbl 1102.37044
Yu, Fajun; Xia, Tiecheng; Zhang, Hongqing
15
2006
Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. Zbl 1117.65143
Zhang, Sheng; Xia, Tiecheng
12
2006
Symbolic computation and new families of exact non-travelling wave solutions to \((3 + 1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1155.65385
Zhang, Sheng; Xia, Tiecheng
9
2006
A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system. Zbl 1099.37052
Xia, Tiecheng; You, Fucai
6
2006
A generalized cubic Volterra lattice hierarchy and its integrable couplings system. Zbl 1083.37052
Xia, Tiecheng; You, Fucai; Chen, Dengyuan
5
2006
Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations. Zbl 1078.35118
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
17
2005
The multicomponent generalized Kaup-Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions. Zbl 1067.37103
Xia, Tiecheng; Fan, Engui
14
2005
The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions. Zbl 1088.37038
Xia, Tiecheng; Yu, Fajun; Chen, Dengyuan
10
2005
A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system. Zbl 1071.37047
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
8
2005
The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions. Zbl 1093.37028
Xia, Tiecheng; You, Fucai
4
2005
A generalized AKNS hierarchy and its bi-Hamiltonian structures. Zbl 1071.37048
Xia, Tiecheng; You, Fucai; Chen, Dengyuan
4
2005
Two types of new Lie algebras and corresponding hierarchies of evolution equations. Zbl 1135.37332
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
3
2005
The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system. Zbl 1070.35045
Xia, Tiecheng; Yu, Fa-Jun; Chen, Dengyuan
2
2005
New families of exact soliton-like solutions and dromion solutions to the \((2+1)\)-dimensional higher-order Broer-Kaup equations. Zbl 1070.35078
Xia, Tiecheng; Chen, Dengyuan
1
2005
The multi-component Yang hierarchy and its multi-component integrable coupling system with two arbitrary functions. Zbl 1064.37056
Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan
1
2005
Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrovsky equations. Zbl 1049.35171
Xia, Tie-cheng; Lü, Zhuo-sheng; Zhang, Hong-qing
16
2004
Multi-component \(C\)-KdV hierarchy of soliton equations and its multi-component integrable coupling system. Zbl 1167.37351
Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan
6
2004
Multi-component SC Lax integrable hierarchy of soliton equations and its multi-component integrable coupling system with two arbitrary functions. Zbl 1167.37352
Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan; Zhang, Yi
3
2004
Dromion and other exact solutions of \((2+1)\)-dimensional dispersive long water equations. Zbl 1062.35093
Xia, Tie-Cheng; Chen, Deng-Yuan
3
2004
A Lax integrable hierarchy, bi-Hamiltonian structure and finite-dimensional Liouville integrable involutive systems. Zbl 1060.37062
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
3
2004
Integrable couplings of the coupled Burgers hierarchy. Zbl 1167.37350
Xia, Tie-Cheng; Chen, Xiao-Hong; Chen, Deng-Yuan; Zhang, Yu-Feng
1
2004
New exact traveling wave solutions for compound KdV-Burgers equations in mathematical physics. Zbl 0996.35068
Zheng, Xuedong; Xia, Tiecheng; Zhang, Hongqing
7
2002
New explicit and exact solutions for the Nizhnik-Novikov-Vesselov equation. Zbl 0996.35066
Xia, Tiecheng; Li, Biao; Zhang, Hongqing
15
2001
New explicit and exact travelling wave solutions for a class of nonlinear evolution equations. Zbl 0982.35101
Xia, Tiecheng; Zhang, Hongqing; Yan, Zhenya
3
2001
all top 5

Cited by 443 Authors

34 Xia, Tie-Cheng
24 Ma, Wen-Xiu
22 Dong, Huanhe
22 Zhang, Sheng
18 Yu, Fajun
12 Zayed, Elsayed M. E.
8 Gepreel, Khaled A.
7 Hu, Beibei
7 Wazwaz, Abdul-Majid Abdul-Rahman
7 Zhang, Hongqing
6 Biswas, Anjan
6 Fan, Engui
6 Li, Li
6 Liu, Wenjun J.
6 Shen, Shoufeng
6 You, Fucai
6 Zhang, Yi
6 Zhou, Qin
5 Abazari, Reza
5 Bekir, Ahmet
5 Kumar, Mukesh
5 Wei, Hanyu
5 Xu, Bo
5 Yang, Hongwei
4 Alurrfi, Khaled A. E.
4 Dai, Zhengde
4 Gao, Yitian
4 He, Baiying
4 Ji, Jie
4 Kang, Zhouzheng
4 Khalique, Chaudry Masood
4 Li, Chunxia
4 Lü, Xing
4 Luo, Lin
4 Mirzazadeh, Mohammad
4 Tian, Shoufu
4 Wang, Hui
4 Wang, Xiangrong
4 Wang, Yunhu
4 Yin, Baoshu
4 Zhang, Xiaoen
3 Abdelaziz, Mahmoud A. M.
3 Abdeljabbar, Alrazi
3 Ali Akbar, M.
3 Chen, Liangyun
3 Chen, Yong
3 Fang, Yong
3 Gao, Liang
3 Jin, Yongyang
3 Kumar, Raj
3 Li, Xinyue
3 Liu, Jianguo
3 Liu, Zhengrong
3 Nofal, Taher A.
3 Sun, Zhiyuan
3 Taghizadeh, Nasir
3 Tang, Yaning
3 Temuer, Chaolu
3 Triki, Houria
3 Wang, Lei
3 Yu, Shuimeng
3 Zhang, Ning
3 Zhang, Ning
3 Zhang, Tiantian
3 Zhao, Qiulan
3 Zhaqilao, Z.
3 Zhi, Hongyan
2 Ai, Guo-Ping
2 Ali, Ahmad Tawfik
2 Ali, Norhashidah Hj. Mohd.
2 Ali, Safdar
2 Aslan, İsmail
2 Bian, Chunquan
2 Chang, Hui
2 Chen, Dengyuan
2 Cheng, Li
2 Dai, Chaoqing
2 El-Kadri, Alaa
2 Farahrooz, Foroozan
2 Geng, Xianguo
2 Hong, Siyu
2 Huang, Yehui
2 Ibrahim, S. A. Hoda
2 Kong, Yuan
2 Li, Donglong
2 Li, Yuxia
2 Li, Zhu
2 Li, Zitian
2 Liu, Jun
2 Liu, Xiqiang
2 McAnally, Morgan
2 Meng, Dexin
2 Meng, Xianghua
2 Pang, Jing
2 Rasappan, Suresh
2 Sayed, S. M.
2 Shehata, Abdel Rahman M.
2 Sheng, Zhang
2 Shi, Yeqiong
2 Smaoui, Nejib
...and 343 more Authors
all top 5

Cited in 70 Serials

54 Applied Mathematics and Computation
27 Nonlinear Dynamics
21 Communications in Nonlinear Science and Numerical Simulation
19 Computers & Mathematics with Applications
19 Chaos, Solitons and Fractals
17 Abstract and Applied Analysis
12 Applied Mathematics Letters
11 Mathematical Problems in Engineering
9 Journal of Mathematical Physics
9 Advances in Mathematical Physics
7 Journal of Applied Mathematics
7 Advances in Difference Equations
6 Mathematical Methods in the Applied Sciences
5 International Journal of Modern Physics B
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 Analysis and Mathematical Physics
4 Modern Physics Letters B
4 Journal of Computational and Applied Mathematics
4 International Journal of Computer Mathematics
4 Complexity
3 Wave Motion
3 Journal of Geometry and Physics
3 Chinese Annals of Mathematics. Series B
3 Chaos
2 International Journal of Theoretical Physics
2 Reports on Mathematical Physics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Mathematicae Applicatae Sinica. English Series
2 Computational Mathematics and Modeling
2 Applied Mathematical Modelling
2 Journal of the Egyptian Mathematical Society
2 Journal of Shanghai University
2 Nonlinear Analysis. Real World Applications
2 Complex Analysis and Operator Theory
2 Frontiers of Mathematics in China
2 Communications in Theoretical Physics
2 Journal of Applied Analysis and Computation
2 International Journal of Applied and Computational Mathematics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Cogent Mathematics
1 International Journal of Modern Physics A
1 Applicable Analysis
1 Computers and Fluids
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Mathematics and Computers in Simulation
1 Acta Applicandae Mathematicae
1 Journal of Symbolic Computation
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 Science in China. Series A
1 Japan Journal of Industrial and Applied Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Journal of Mathematical Chemistry
1 European Journal of Control
1 Journal of Applied Mechanics and Technical Physics
1 Discrete Dynamics in Nature and Society
1 International Journal of Modern Physics C
1 Journal of Nonlinear Mathematical Physics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Applied Mathematics and Computing
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Complex Variables and Elliptic Equations
1 Acta Mechanica Sinica
1 International Journal of Nonlinear Science
1 Journal of Nonlinear Science and Applications
1 Arabian Journal for Science and Engineering
1 Journal of Function Spaces

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