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Author ID: xu.xixiang Recent zbMATH articles by "Xu, Xixiang"
Published as: Xu, Xi-Xiang; Xu, Xixiang; Xu, Xi-xiang

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 725 times in 339 Documents Cited by Year
Semi-direct sums of Lie algebras and continuous integrable couplings. Zbl 1234.37049
Ma, Wen-Xiu; Xu, Xixiang; Zhang, Yufeng
128
2006
Semidirect sums of Lie algebras and discrete integrable couplings. Zbl 1111.37059
Ma, Wen-Xiu; Xu, Xi-Xiang; Zhang, Yufeng
101
2006
A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations. Zbl 1075.37030
Ma, Wen-Xiu; Xu, Xi-Xiang
74
2004
Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair. Zbl 1058.37055
Ma, Wenxiu; Xu, Xixiang
59
2004
A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation. Zbl 1328.37054
Xu, Xi-Xiang
44
2015
An integrable coupling hierarchy of the MKdV_integrable systems, its Hamiltonian structure and corresponding nonisospectral integrable hierarchy. Zbl 1188.37065
Xu, Xi-Xiang
36
2010
Factorization of a hierarchy of the lattice soliton equations from a binary Bargmann symmetry constraint. Zbl 1079.37060
Xu, Xi-Xiang
22
2005
Darboux transformation of a coupled lattice soliton equation. Zbl 1197.37095
Xu, Xi-Xiang
21
2007
An integrable coupling hierarchy of Dirac integrable hierarchy, its Liouville integrability and Darboux transformation. Zbl 1412.35300
Xu, Xi-Xiang; Sun, Ye-Peng
18
2017
New hierarchies of integrable positive and negative lattice models and Darboux transformation. Zbl 1081.37040
Yang, Hongxiang; Xu, Xixiang; Ding, Haiyong
17
2005
A generalized Wadati-Konno-Ichikawa hierarchy and new finite-dimensional integrable systems. Zbl 0997.37047
Xu, Xixiang
17
2002
A hierarchy of Lax integrable lattice equations, Liouville integrability and a new integrable symplectic map. Zbl 1167.37354
Xu, Xi-Xiang; Zhang, Yu-Feng
13
2004
A generalized Wadati–Konno–Ichikawa hierarchy and its binary nonlinearization by symmetry constraints. Zbl 1098.37061
Xu, Xi-xiang
12
2003
Two symmetry constraints for a generalized Dirac integrable hierarchy. Zbl 1430.37079
Xu, Xi-Xiang; Sun, Ye-Peng
11
2018
Darboux transformation of the modified Toda lattice equation. Zbl 1125.37053
Xu, Xixiang; Yang, Hongxiang; Sun, Yepeng
11
2006
A hierarchy of discrete Hamiltonian equations and its binary nonlinearization by symmetry constraint. Zbl 1138.37336
Xu, Xixiang
11
2004
Positive and negative hierarchies of nonlinear integrable lattice models and three integrable coupling systems associated with a discrete spectral problem. Zbl 1101.37046
Sun, Ye-Peng; Chen, Deng-Yuan; Xu, Xi-Xiang
10
2006
Integrable couplings of relativistic Toda lattice systems in polynomial form and rational form, their hierarchies and bi-Hamiltonian structures. Zbl 1190.37077
Xu, Xi-Xiang
10
2009
Integrable relativistic Toda type lattice hierarchies, associated coupling systems and the Darboux transformation. Zbl 1088.37044
Yang, Hong-Xiang; Xu, Xi-Xiang; Sun, Ye-Peng; Ding, Hai-Yong
9
2006
A Liouville integrable lattice soliton equation, infinitely many conservation laws and integrable coupling systems. Zbl 1195.37050
Xu, Xi-Xiang; Yang, Hong-Xiang; Ding, Hai-Yong
9
2006
Hamiltonian and super-Hamiltonian systems of a hierarchy of soliton equations. Zbl 1202.35205
Yang, Hong-Xiang; Du, Jun; Xu, Xi-Xiang; Cui, Jin-Ping
9
2010
Two hierarchies of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformation. Zbl 1136.37354
Yang, Hong-Xiang; Xu, Xi-Xiang; Ding, Hai-Yong
8
2005
Two hierarchies of integrable lattice equations associated with a discrete matrix spectral problem. Zbl 1223.37085
Li, Xin-Yue; Xu, Xi-Xiang; Zhao, Qiu-Lan
7
2008
A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system. Zbl 1236.37039
Sun, Yepeng; Chen, Dengyuan; Xu, Xixiang
7
2006
A hierarchy of Liouville integrable discrete Hamiltonian equations. Zbl 1220.37058
Xu, Xi-Xiang
6
2008
Solving an integrable coupling system of Merola-Ragnisco-Tu lattice equation by Darboux transformation of Lax pair. Zbl 1352.37180
Xu, Xi-Xiang
6
2015
A hierarchy of nonlinear lattice soliton equations, its integrable coupling systems and infinitely many conservation laws. Zbl 1144.37452
Ding, Hai-Yong; Sun, Ye-Peng; Xu, Xi-Xiang
5
2006
An integrable coupling family of Merola-Ragnisco-Tu lattice systems, its Hamiltonian structure and related nonisospectral integrable lattice family. Zbl 1235.37023
Xu, Xi-Xiang
5
2010
A hierarchy of discrete generalized Hamiltonian systems and a new integrable symplectic map. Zbl 1290.35218
Xu, Xixiang; Wang, Shifan
4
2003
A hierarchy of lattice soliton equations and its higher-order symmetry constraint. Zbl 1116.37047
Xu, Xi-Xiang; Yang, Hong-Xiang
3
2007
Integrable expanding models for discrete systems application: coupled Toda and relativistic Toda lattice. Zbl 1103.37043
Yang, Hongxiang; Xu, Xixiang
3
2005
A four-by-four matrix eigenvalue problem, related hierarchy of Lax integrable equations and their Hamiltonian structures. Zbl 1200.37065
Xu, Xixiang; Yang, Hongxiang; Cao, Weili
3
2008
The Liouville integrability of integrable couplings of Volterra lattice equation. Zbl 1221.37156
Zhao, Qiu-Lan; Xu, Xi-Xiang; Li, Xin-Yue
2
2010
A family of integrable differential-difference equations and its Bargmann symmetry constraint. Zbl 1222.37081
Xu, Xi-Xiang
2
2010
An integrable coupling family of the Toda lattice systems, its bi-Hamiltonian structure, and a related nonisospectral integrable lattice family. Zbl 1309.37064
Xu, Xi-Xiang
2
2010
A hierarchy of integrable nonlinear lattice equations and its two integrable coupling systems. Zbl 1158.37029
Ma, Lin-Lin; Xu, Xi-Xiang
2
2008
A family of integrable different-difference equations, its Hamiltonian structure, and Darboux-Bäcklund transformation. Zbl 1417.39062
Xu, Xi-Xiang; Xu, Meng
2
2018
The Liouville integrable systems associated with a new discrete \(3\times 3\) matrix spectral problem. Zbl 1179.39011
Zhao, Qiu-Lan; Xu, Xi-Xiang; Li, Xin-Yue
2
2009
A hierarchy of integrable nonlinear lattice equations and new integrable symplectic map. Zbl 1267.37080
Xu, Xi-Xiang; Dong, Huan-He
2
2002
A discrete spectral problem and related hierarchy of discrete Hamiltonian lattice equations. Zbl 1267.37079
Xu, Xi-Xiang; Cao, Wei-Li
2
2007
Hamiltonian structure and infinite number of conservation laws for the coupled discrete KdV equations. Zbl 1064.35174
Yang, Hongxiang; Xu, Xixiang
1
2004
Darboux transformation and soliton-like solutions for a hierarchy of integrable soliton equations. Zbl 1080.35526
Sun, Yepeng; Xu, Xixiang
1
2003
The integrable property of Lotka-Volterra type discrete nonlinear lattice soliton systems. Zbl 1156.82332
Li, Xin-Yue; Xu, Xi-Xiang; Zhao, Qiu-Lan
1
2008
Hamiltonian forms for a hierarchy of discrete integrable coupling systems. Zbl 1392.37082
Xu, Xi-Xiang; Yang, Hong-Xiang; Lu, Rong-Wu
1
2008
Mukherjee-Choudhury-Chowdhury spectral problem and the semi-discrete integrable system. Zbl 1418.37098
Xu, Xi-Xiang; Sun, Ye-Peng
1
2016
Construction of solutions for an integrable differential-difference equation by Darboux-Bäcklund transformation. Zbl 1428.34005
Lu, Rong-Wu; Xu, Xi-Xiang; Zhang, Ning
1
2019
A trick loop algebra and a corresponding Liouville integrable hierarchy of evolution equations. Zbl 1048.37064
Zhang, Yufeng; Xu, Xixiang
1
2004
Darboux transformation and explicit solutions for a 3-field integrable lattice system with three arbitrary constants. Zbl 1333.37109
Xu, Xi-Xiang
1
2011
An extended integrable model of the KdV hierarchy and the resulting Hamiltonian structure. Zbl 1153.37424
Zhang, Yu-Feng; Xu, Xi-Xiang
1
2008
A family of integrable differential-difference equations, its bi-Hamiltonian structure and binary nonlinearization of the Lax pairs and adjoint Lax pairs. Zbl 1298.37061
Xu, Xi-Xiang
1
2012
Construction of solutions for an integrable differential-difference equation by Darboux-Bäcklund transformation. Zbl 1428.34005
Lu, Rong-Wu; Xu, Xi-Xiang; Zhang, Ning
1
2019
Two symmetry constraints for a generalized Dirac integrable hierarchy. Zbl 1430.37079
Xu, Xi-Xiang; Sun, Ye-Peng
11
2018
A family of integrable different-difference equations, its Hamiltonian structure, and Darboux-Bäcklund transformation. Zbl 1417.39062
Xu, Xi-Xiang; Xu, Meng
2
2018
An integrable coupling hierarchy of Dirac integrable hierarchy, its Liouville integrability and Darboux transformation. Zbl 1412.35300
Xu, Xi-Xiang; Sun, Ye-Peng
18
2017
Mukherjee-Choudhury-Chowdhury spectral problem and the semi-discrete integrable system. Zbl 1418.37098
Xu, Xi-Xiang; Sun, Ye-Peng
1
2016
A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation. Zbl 1328.37054
Xu, Xi-Xiang
44
2015
Solving an integrable coupling system of Merola-Ragnisco-Tu lattice equation by Darboux transformation of Lax pair. Zbl 1352.37180
Xu, Xi-Xiang
6
2015
A family of integrable differential-difference equations, its bi-Hamiltonian structure and binary nonlinearization of the Lax pairs and adjoint Lax pairs. Zbl 1298.37061
Xu, Xi-Xiang
1
2012
Darboux transformation and explicit solutions for a 3-field integrable lattice system with three arbitrary constants. Zbl 1333.37109
Xu, Xi-Xiang
1
2011
An integrable coupling hierarchy of the MKdV_integrable systems, its Hamiltonian structure and corresponding nonisospectral integrable hierarchy. Zbl 1188.37065
Xu, Xi-Xiang
36
2010
Hamiltonian and super-Hamiltonian systems of a hierarchy of soliton equations. Zbl 1202.35205
Yang, Hong-Xiang; Du, Jun; Xu, Xi-Xiang; Cui, Jin-Ping
9
2010
An integrable coupling family of Merola-Ragnisco-Tu lattice systems, its Hamiltonian structure and related nonisospectral integrable lattice family. Zbl 1235.37023
Xu, Xi-Xiang
5
2010
The Liouville integrability of integrable couplings of Volterra lattice equation. Zbl 1221.37156
Zhao, Qiu-Lan; Xu, Xi-Xiang; Li, Xin-Yue
2
2010
A family of integrable differential-difference equations and its Bargmann symmetry constraint. Zbl 1222.37081
Xu, Xi-Xiang
2
2010
An integrable coupling family of the Toda lattice systems, its bi-Hamiltonian structure, and a related nonisospectral integrable lattice family. Zbl 1309.37064
Xu, Xi-Xiang
2
2010
Integrable couplings of relativistic Toda lattice systems in polynomial form and rational form, their hierarchies and bi-Hamiltonian structures. Zbl 1190.37077
Xu, Xi-Xiang
10
2009
The Liouville integrable systems associated with a new discrete \(3\times 3\) matrix spectral problem. Zbl 1179.39011
Zhao, Qiu-Lan; Xu, Xi-Xiang; Li, Xin-Yue
2
2009
Two hierarchies of integrable lattice equations associated with a discrete matrix spectral problem. Zbl 1223.37085
Li, Xin-Yue; Xu, Xi-Xiang; Zhao, Qiu-Lan
7
2008
A hierarchy of Liouville integrable discrete Hamiltonian equations. Zbl 1220.37058
Xu, Xi-Xiang
6
2008
A four-by-four matrix eigenvalue problem, related hierarchy of Lax integrable equations and their Hamiltonian structures. Zbl 1200.37065
Xu, Xixiang; Yang, Hongxiang; Cao, Weili
3
2008
A hierarchy of integrable nonlinear lattice equations and its two integrable coupling systems. Zbl 1158.37029
Ma, Lin-Lin; Xu, Xi-Xiang
2
2008
The integrable property of Lotka-Volterra type discrete nonlinear lattice soliton systems. Zbl 1156.82332
Li, Xin-Yue; Xu, Xi-Xiang; Zhao, Qiu-Lan
1
2008
Hamiltonian forms for a hierarchy of discrete integrable coupling systems. Zbl 1392.37082
Xu, Xi-Xiang; Yang, Hong-Xiang; Lu, Rong-Wu
1
2008
An extended integrable model of the KdV hierarchy and the resulting Hamiltonian structure. Zbl 1153.37424
Zhang, Yu-Feng; Xu, Xi-Xiang
1
2008
Darboux transformation of a coupled lattice soliton equation. Zbl 1197.37095
Xu, Xi-Xiang
21
2007
A hierarchy of lattice soliton equations and its higher-order symmetry constraint. Zbl 1116.37047
Xu, Xi-Xiang; Yang, Hong-Xiang
3
2007
A discrete spectral problem and related hierarchy of discrete Hamiltonian lattice equations. Zbl 1267.37079
Xu, Xi-Xiang; Cao, Wei-Li
2
2007
Semi-direct sums of Lie algebras and continuous integrable couplings. Zbl 1234.37049
Ma, Wen-Xiu; Xu, Xixiang; Zhang, Yufeng
128
2006
Semidirect sums of Lie algebras and discrete integrable couplings. Zbl 1111.37059
Ma, Wen-Xiu; Xu, Xi-Xiang; Zhang, Yufeng
101
2006
Darboux transformation of the modified Toda lattice equation. Zbl 1125.37053
Xu, Xixiang; Yang, Hongxiang; Sun, Yepeng
11
2006
Positive and negative hierarchies of nonlinear integrable lattice models and three integrable coupling systems associated with a discrete spectral problem. Zbl 1101.37046
Sun, Ye-Peng; Chen, Deng-Yuan; Xu, Xi-Xiang
10
2006
Integrable relativistic Toda type lattice hierarchies, associated coupling systems and the Darboux transformation. Zbl 1088.37044
Yang, Hong-Xiang; Xu, Xi-Xiang; Sun, Ye-Peng; Ding, Hai-Yong
9
2006
A Liouville integrable lattice soliton equation, infinitely many conservation laws and integrable coupling systems. Zbl 1195.37050
Xu, Xi-Xiang; Yang, Hong-Xiang; Ding, Hai-Yong
9
2006
A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system. Zbl 1236.37039
Sun, Yepeng; Chen, Dengyuan; Xu, Xixiang
7
2006
A hierarchy of nonlinear lattice soliton equations, its integrable coupling systems and infinitely many conservation laws. Zbl 1144.37452
Ding, Hai-Yong; Sun, Ye-Peng; Xu, Xi-Xiang
5
2006
Factorization of a hierarchy of the lattice soliton equations from a binary Bargmann symmetry constraint. Zbl 1079.37060
Xu, Xi-Xiang
22
2005
New hierarchies of integrable positive and negative lattice models and Darboux transformation. Zbl 1081.37040
Yang, Hongxiang; Xu, Xixiang; Ding, Haiyong
17
2005
Two hierarchies of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformation. Zbl 1136.37354
Yang, Hong-Xiang; Xu, Xi-Xiang; Ding, Hai-Yong
8
2005
Integrable expanding models for discrete systems application: coupled Toda and relativistic Toda lattice. Zbl 1103.37043
Yang, Hongxiang; Xu, Xixiang
3
2005
A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations. Zbl 1075.37030
Ma, Wen-Xiu; Xu, Xi-Xiang
74
2004
Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair. Zbl 1058.37055
Ma, Wenxiu; Xu, Xixiang
59
2004
A hierarchy of Lax integrable lattice equations, Liouville integrability and a new integrable symplectic map. Zbl 1167.37354
Xu, Xi-Xiang; Zhang, Yu-Feng
13
2004
A hierarchy of discrete Hamiltonian equations and its binary nonlinearization by symmetry constraint. Zbl 1138.37336
Xu, Xixiang
11
2004
Hamiltonian structure and infinite number of conservation laws for the coupled discrete KdV equations. Zbl 1064.35174
Yang, Hongxiang; Xu, Xixiang
1
2004
A trick loop algebra and a corresponding Liouville integrable hierarchy of evolution equations. Zbl 1048.37064
Zhang, Yufeng; Xu, Xixiang
1
2004
A generalized Wadati–Konno–Ichikawa hierarchy and its binary nonlinearization by symmetry constraints. Zbl 1098.37061
Xu, Xi-xiang
12
2003
A hierarchy of discrete generalized Hamiltonian systems and a new integrable symplectic map. Zbl 1290.35218
Xu, Xixiang; Wang, Shifan
4
2003
Darboux transformation and soliton-like solutions for a hierarchy of integrable soliton equations. Zbl 1080.35526
Sun, Yepeng; Xu, Xixiang
1
2003
A generalized Wadati-Konno-Ichikawa hierarchy and new finite-dimensional integrable systems. Zbl 0997.37047
Xu, Xixiang
17
2002
A hierarchy of integrable nonlinear lattice equations and new integrable symplectic map. Zbl 1267.37080
Xu, Xi-Xiang; Dong, Huan-He
2
2002
all top 5

Cited in 73 Serials

30 Modern Physics Letters B
28 Communications in Nonlinear Science and Numerical Simulation
27 Journal of Mathematical Physics
26 Applied Mathematics and Computation
23 International Journal of Modern Physics B
13 International Journal of Theoretical Physics
12 Advances in Difference Equations
11 Reports on Mathematical Physics
11 Chaos, Solitons and Fractals
11 Nonlinear Dynamics
10 Computers & Mathematics with Applications
8 Mathematical Problems in Engineering
8 Abstract and Applied Analysis
8 Advances in Mathematical Physics
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Journal of Geometry and Physics
5 Mathematical Methods in the Applied Sciences
5 Discrete Dynamics in Nature and Society
4 Journal of Mathematical Analysis and Applications
4 Theoretical and Mathematical Physics
4 Journal of Nonlinear Mathematical Physics
4 Analysis and Mathematical Physics
4 Journal of Applied Analysis and Computation
3 Physics Letters. A
3 Wave Motion
3 Applied Mathematics Letters
3 Applied Mathematics. Series B (English Edition)
3 Nonlinear Analysis. Real World Applications
3 Quantum Information Processing
2 Physica A
2 Reviews in Mathematical Physics
2 Journal of Computational and Applied Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Nonlinear Science
2 Qualitative Theory of Dynamical Systems
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Acta Mathematica Scientia. Series B. (English Edition)
1 International Journal of Modern Physics A
1 Applicable Analysis
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Differential Equations
1 Studies in Applied Mathematics
1 Physica D
1 Science in China. Series A
1 Journal of Global Optimization
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Formal Methods in System Design
1 Electronic Journal of Differential Equations (EJDE)
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Complexity
1 Journal of Difference Equations and Applications
1 Journal of Shanghai University
1 Chaos
1 Journal of Mathematical Fluid Mechanics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Journal of Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Analysis and Applications (Singapore)
1 International Journal of Geometric Methods in Modern Physics
1 Boundary Value Problems
1 Frontiers of Mathematics in China
1 Communications in Theoretical Physics
1 Journal of Nonlinear Science and Applications
1 Advances in Applied Mathematics and Mechanics
1 Symmetry
1 East Asian Journal on Applied Mathematics
1 Mathematics
1 Open Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Proceedings of the American Mathematical Society. Series B

Citations by Year