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Author ID: li.yishen Recent zbMATH articles by "Li, Yishen"
Published as: Li, Yishen; Li, Yi-Shen; Li, Yi-shen; Li, Yi Shen; Li, YiShen
all top 5

Serials

15 Journal of Physics A: Mathematical and General
9 Journal of Mathematical Physics
7 Applied Mathematical Modelling
6 Physics Letters. A
6 Chinese Annals of Mathematics. Series B
5 Acta Mathematicae Applicatae Sinica
5 Scientia Sinica. Series A
5 Acta Mathematica Sinica. New Series
4 Journal of China University of Science and Technology
4 Science in China. Series A
4 Chinese Science Bulletin
4 Communications in Theoretical Physics
3 Acta Mathematica Sinica
3 Chinese Annals of Mathematics. Series A
2 Chaos, Solitons and Fractals
2 Advances in Mathematics (Beijing)
2 Acta Mathematicae Applicatae Sinica. English Series
2 Kexue Tongbao
2 Acta Mathematica Scientia
2 Journal of Partial Differential Equations
2 Acta Mathematica Sinica. English Series
2 Quantitative Finance
1 Acta Mechanica
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 International Journal of Solids and Structures
1 Theoretical and Mathematical Physics
1 International Journal for Numerical Methods in Engineering
1 Meccanica
1 Studies in Applied Mathematics
1 Chinese Annals of Mathematics
1 Mathematica Numerica Sinica
1 Physica D
1 Annals of Differential Equations
1 Acta Scientiarum Naturalium Universitatis Pekinensis
1 Computational Mechanics
1 Journal of Hydrodynamics. Ser. B
1 Applied Mathematics
1 Physics of Fluids
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Engineering Analysis with Boundary Elements
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 New Journal of Physics
1 European Journal of Mechanics. A. Solids
1 Communications in Nonlinear Science and Numerical Simulation
1 CMES. Computer Modeling in Engineering & Sciences
1 Journal of Nonlinear Mathematical Physics
1 Chinese Journal of Contemporary Mathematics
1 Journal of University of Science and Technology of China
1 Journal of Physics A: Mathematical and Theoretical
1 Pacific Journal of Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 817 times in 629 Documents Cited by Year
Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory. Zbl 1423.74401
Li, Y. S.; Pan, E.
61
2015
Darboux transformations of classical Boussinesq system and its new solutions. Zbl 1115.35329
Li, Yishen; Ma, Wen-Xiu; Zhang, Jin E.
61
2000
The multiple-soliton solution of the Camassa-Holm equation. Zbl 1068.35109
Li, Yishen; Zhang, Jin E.
56
2004
Constraints of the 2+1 dimensional integrable soliton systems. Zbl 0749.35037
Cheng, Yi; Li, Yishen
43
1992
Darboux transformations of classical Boussinesq system and its multi-soliton solutions. Zbl 0977.35114
Li, Yishen; Zhang, Jin E.
40
2001
The constraints of potentials and the finite-dimensional integrable systems. Zbl 0695.58016
Zeng, Yunbo; Li, Yishen
37
1989
Determinant representation of Darboux transformation for the AKNS system. Zbl 1110.35302
He, Jingsong; Zhang, Ling; Cheng, Yi; Li, Yishen
35
2006
The deduction of the Lax representation for constrained flows from the adjoint representation. Zbl 0772.58019
Zeng, Yunbo; Li, Yishen
33
1993
Symmetries of a \((2+1)\)-dimensional breaking soliton equation. Zbl 0835.35122
Li, Yishen; Zhang, Youjin
29
1993
Some water wave equations and integrability. Zbl 1362.35269
Li, Yishen
25
2005
The exact solutions of some \((2+1)\)-dimensional integrable systems. Zbl 1267.35182
Chen, Chun-Li; Li, Yi-Shen
21
2002
Designable integrability of the variable coefficient nonlinear Schrödinger equations. Zbl 1220.35158
He, J.; Li, Y.
21
2011
Binary nonlinearization of AKNS spectral problem under higher-order symmetry constraints. Zbl 1094.37503
Li, Yishen; Ma, Wen-Xiu
20
2000
New set of symmetries of the integrable equations, Lie algebra and non- isospectral equations. II: AKNS system. Zbl 0658.35077
Li, Yishen; Zhu, Guocheng
20
1986
Transient response of an interfacial crack between dissimilar magnetoelectroelastic layers under magnetoelectromechanical impact loadings: mode-I problem. Zbl 1167.74547
Feng, W. J.; Li, Y. S.; Xu, Z. H.
19
2009
Hamiltonian structure of the super evolution equation. Zbl 0705.58024
Li, Yishen; Zhang, Lining
19
1990
Three kinds of Darboux transformation for the evolution equations which connect with A.K.N.S. eigenvalue problem. Zbl 0669.35098
Li, Yishen; Gu, Xinshen; Zou, Maorong
19
1987
Bifurcations of travelling wave solutions for a two-component Camassa-Holm equation. Zbl 1182.34064
Li, Jibin; Li, Yishen
18
2008
The Darboux transformation for NLS-MB equations. Zbl 1267.81306
He, Jing-Song; Cheng, Yi; Li, Yi-Shen
17
2002
Two choices of the gauge transformation for the AKNS hierarchy through the constrained KP hierarchy. Zbl 1062.37070
He, Jingsong; Li, Yishen; Cheng, Yi
16
2003
The determinant representation of the gauge transformation operators. Zbl 1017.35101
He, Jingsong; Li, Yishen; Cheng, Yi
15
2002
Line soliton interactions of a nonisospectral and variable-coefficient Kadomtsev-Petviashvili equation. Zbl 0761.35100
Chan, W. L.; Li, Kam-Shun; Li, Yi-Shen
15
1992
Bidirectional soliton solutions of the classical Boussinesq system and AKNS system. Zbl 1048.35103
Li, Yishen; Zhang, Jin E.
15
2003
The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy. Zbl 0867.35088
Zeng, Yunbo; Li, Yishen
14
1996
The Darboux transformation of the Schrödinger equation with an energy-dependent potential. Zbl 1197.34173
Lin, Ji; Li, Yi-Shen; Qian, Xian-Min
13
2007
(1+1)-dimensional Hamiltonian systems as symmetry constraints of the Kadomtsev-Petviashvili equation. Zbl 0754.35153
Xu, Bing; Li, Yishen
13
1992
The reductions of the Darboux transformation and some soliton equations. Zbl 0899.35092
Li, Yishen
12
1996
A nonconfocal involutive system and constrained flows associated with the \(\text{MKdV}_-\) equation. Zbl 1060.37057
Li, Yishen; Ma, Wen-Xiu
11
2002
Integrable Hamiltonian systems related to the polynomial eigenvalue problem. Zbl 0850.70174
Zeng, Yunbo; Li, Yishen
10
1990
Nonlinear evolution equations associated with eigenvalue problems of energy dependent potentials. Zbl 0502.35071
Li, Yishen; Zhuang, Dawei
10
1982
New symplectic maps: integrability and Lax representation. Zbl 0890.58018
Zeng, Yunbo; Li, Yishen
9
1997
A class of evolution equations and the spectral deformation. Zbl 0498.35073
Li, Yishen
9
1982
Novel quadtree algorithm for adaptive analysis based on cell-based smoothed finite element method. Zbl 1464.74180
Huo, S. H.; Li, Y. S.; Duan, S. Y.; Han, X.; Liu, G. R.
9
2019
Rogue wave with a controllable center of nonlinear Schrödinger equation. Zbl 1247.35155
Wang, Xiao-Chun; He, Jing-Song; Li, Yi-Shen
8
2011
Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory. Zbl 1481.74282
Li, Y. S.; Xiao, T.
8
2021
Two topics of the integrable soliton equation. Zbl 0850.35087
Li, Yishen
7
1994
An approach to the integrability of Hamiltonian systems obtained by reduction. Zbl 0716.58017
Zeng, Yunbo; Li, Yishen
7
1990
Three kinds of constraints of potential for KdV hierarchy. Zbl 0721.35081
Zeng, Yunbo; Li, Yishen
7
1990
Remarks on the solutions of the Kadomtsev-Petviashvili equation. Zbl 0981.35063
Han, W.; Li, Yishen
7
2001
A penny-shaped interface crack between a functionally graded piezoelectric layer and a homogeneous piezoelectric layer. Zbl 1241.74033
Li, Y. S.; Feng, W. J.; Xu, Z. H.
7
2009
Lie symmetry analysis and some new exact solutions of the Wu-Zhang equation. Zbl 1070.35004
Ji, Xiaoda; Chen, Chunli; Zhang, Jin E.; Li, Yishen
7
2004
Bending of sinusoidal functionally graded piezoelectric plate under an in-plane magnetic field. Zbl 1446.74029
Li, Y. S.; Ren, J. H.; Feng, W. J.
7
2017
On a general approach from infinite-dimensional integrable Hamiltonian systems to finite-dimensional ones. Zbl 0834.58021
Zeng, Yunbo; Li, Yishen
6
1995
The interaction of the \(\omega\)-soliton and \(\omega\)-cuspon of the Camassa-Holm equation. Zbl 1119.35073
Dai, Hui-Hui; Li, Yishen
6
2005
An efficient three-dimensional semi-implicit finite element scheme for simulation of free surface flows. Zbl 0825.76447
Li, Y. S.; Zhan, J. M.
5
1993
Integrable non-isospectral flows associated with the Kadomtsev- Petviashvili equations in \(2+1\) dimensions. Zbl 0662.35110
Yi, Cheng; Li, Yishen; Bullough, R. K.
5
1988
A note on the super AKNS equations. Zbl 0695.35160
Li, Yishen; Zhang, Lining
4
1988
Symmetries and the Lie algebra for the matrix evolution equation of KdV type. Zbl 0709.35089
Chen, Dengyuan; Zhu, Guocheng; Li, Yishen
4
1990
Soliton and rogue wave solution of the new nonautonomous nonlinear Schrödinger equation. Zbl 1247.35156
Wang, You-Ying; He, Jing-Song; Li, Yi-Shen
4
2011
New symmetry and its Lie algebra for the matrix evolution equation of AKNS type. Zbl 0738.35085
Chen, Dengyuan; Zhe, Guocheng; Li, Yishen
4
1991
Connections among symmetries, Bäcklund transformation and the Painlevé property for Burger’s hierarchies. Zbl 0743.35066
Cheng, Yi; Wang, Cunqi; Tian, Chou; Li, Yishen
4
1991
On Boussinesq models of constant depth. Zbl 1186.76603
Zhang, Jin E.; Chen, Chunli; Li, Yishen
4
2004
Separation of variables for soliton equations via Lax pair by constraint. Zbl 0961.35136
Li, Yishen
4
1999
One-dimensional finite element method in hydrodynamic stability. Zbl 0458.76030
Li, Y. S.; Kot, S. C.
4
1981
The transformation operator \({\mathcal V}\) of nonlinear evolution equation. Zbl 0637.35076
Chen, Dengyuan; Li, Yishen
4
1986
Numerical modelling of multi-directional irregular waves through breakwaters. Zbl 1076.76545
Li, Y. S.; Liu, S.-X.; Yu, Y.-X.; Lai, G.-Z.
4
2000
The gauge equivalence of the Davey-Stewartson equation and \((2+1)\)- dimensional continuous Heisenberg ferromagnetic model. Zbl 0711.35133
Cheng, Yi; Li, Yishen; Tang, Guoxiong
3
1990
Do symmetry constraints nonlinearize spectral problems into Hamiltonian systems? Zbl 0944.37040
Ma, Wenxiu; Li, Yishen
3
2000
Hamiltonian structures of binary higher-order constrained flows associated with two \(3\times 3\) spectral problems. Zbl 1115.37348
Li, Yishen; Ma, Wen-Xiu
3
2000
A high accuracy hybrid method for two-dimensional Navier-Stokes equations. Zbl 1187.76722
Zhan, J. M.; Luo, Y. Y.; Li, Y. S.
3
2008
Theory of bidirectional solitons on water. Zbl 1048.35107
Zhang, Jin E.; Li, Yishen
3
2003
Multiple collinear Griffith cracks in a one-dimensional hexagonal quasicrystalline layer. Zbl 1380.74108
Li, Y. S.
3
2016
Symmetries and constants of motion of new AKNS hierarchies. Zbl 0633.35078
Cheng, Yi; Li, Yishen
3
1987
New set of symmetries for integrable equations, Lie algebra, non- isospectral eigenvalue problems. I. Zbl 0656.35126
Li, Yishen; Zhu, Guocheng
3
1987
Symmetries and constants of motion for the new KdV hierarchies. Zbl 0669.35101
Li, Yishen; Cheng, Yi
3
1988
The transformation operator IV of nonlinear evolution equations. Zbl 0675.35073
Li, Yishen; Chen, Dengyuan
3
1986
The equivalence of three classes of nonlinear evolution equations. Zbl 0675.35074
Li, Yishen; Chen, Dengyuan
3
1986
Symmetries and constants of motion for new hierarchy of the KP equations. Zbl 0638.35078
Cheng, Yi.; Li, Yishen
3
1987
The multi-soliton solutions of the CH-\(\gamma\) equation. Zbl 1142.35091
Chen, Chun-Li; Li, Yi-Shen; Zhang, Jin-E
3
2008
Transformation operator between recursion operators of Bäcklund transforms. I. Zbl 0605.35073
Chen, Dengyuan; Li, Yishen; Zeng, Yunbo
3
1985
Thermal buckling and free vibration of viscoelastic functionally graded sandwich shells with tunable auxetic honeycomb core. Zbl 1503.74036
Li, Y. S.; Liu, B. L.
3
2022
Fracture analysis for two-dimensional plane problems of nonhomogeneous magneto-electro-thermo-elastic plates subjected to thermal shock by using the meshless local Petrov-Galerkin method. Zbl 1231.74283
Feng, W. J.; Han, X.; Li, Y. S.
2
2009
An efficient split-operator scheme for 2-D advection-diffusion simulations using finite elements and characteristics. Zbl 0678.76090
Li, Y. S.; Chen, C. P.
2
1989
Some algebraic properties of “C-integrable” nonlinear equations. I: Burgers equation and Calogero equation. Zbl 0712.35087
Li, Yishen
2
1990
Multi-soliton and multi-cuspon solutions of a Camassa-Holm hierarchy and their interactions. Zbl 1155.35080
Dai, Hui-Hui; Li, Yishen; Su, Ting
2
2009
The general scheme for higher-order decompositions of zero-curvature equations associated with \(\widetilde {sl}(2)\). Zbl 0896.58036
Zeng, Yunbo; Li, Yishen
2
1996
A class matrix evolution equations. Zbl 0508.35025
Zhu, Guocheng; Chen, Dengyuan; Zeng, Yunbo; Zhang, Etang; Li, Yishen
2
1982
Solitary wave solutions for a general Boussinesq type fluid model. Zbl 1051.35051
Chen, Chun-Li; Lou, Sen-Yue; Li, Yi-Shen
2
2004
Nonlinear physics. Proceedings of the international conference, Shanghai, PeopleJs Rep. of China, April 24-30, 1989. Zbl 0718.00015
2
1990
Generating solutions of the Boussinesq equation by the Darboux transformation of third order eigenvalue differential equations. Zbl 0642.35012
Li, Yishen; Gu, Xinshen
2
1986
Bäcklund transformations and Darboux transformations. Zbl 0663.35060
Li, Yishen
2
1987
On the transformations of the potentials, integrable evolution equations and Bäcklund transformations. Zbl 0613.35064
Zeng, Yungbo; Chen, Dengyuan; Li, Yishen
2
1985
Exact solution of the Schrödinger equation for the time-dependent harmonic oscillator. Zbl 0988.81032
Li, Yishen; He, Jingsong
2
1998
Bending of FGM sandwich plates with tunable auxetic core using DQM. Zbl 1511.74037
Liu, B. L.; Li, S.; Li, Y. S.
2
2023
Gauge transformation, Bäcklund transformation and the nonlinear superposition formula. Zbl 0692.35116
Li, Yishen
1
1989
Lax algebra for the AKNS system. Zbl 0766.47036
Cheng, Yi; Li, Yishen
1
1991
Deep reduction of Darboux transformation to a \(3\times 3\) spectral problem. Zbl 0981.35083
Li, Yishen; Han, Wenting
1
2001
The motion of surfaces in geodesic coordinates and \(2+1\)-dimensional breaking soliton equation. Zbl 0987.37071
Li, Yishen; Chen, Chunli
1
2000
New forms of the Darboux transformation for KdV and KP equations. Zbl 0763.35080
Li, Yishen
1
1992
The equivalence of two classes of nonlinear evolution equations. Zbl 0518.35063
Li, Yishen; Zhuang, Dawei
1
1983
The structure equation of Lie group and some evolution equations. Zbl 0541.35069
Li, Yishen
1
1982
Option pricing with Weyl-Titchmarsh theory. Zbl 1405.91635
Li, Yishen; Zhang, Jin E.
1
2004
On complete integrability of a hierarchy of finite-dimensional Hamiltonian systems. Zbl 0781.35064
Zeng, Yunbo; Li, Yishen
1
1992
The Lund-Regge surface and its motion’s evolution equation. Zbl 1059.53007
Chen, Chunli; Li, Yishen
1
2002
An inner annular crack in a superconducting cylinder and its crack front properties under applied magnetic field. Zbl 1452.74040
Feng, W. J.; Gao, S. W.; Li, Y. S.
1
2016
New set of symmetries for the integrable equations, Lie algebra, non- isospectral evolution equations. III. Zbl 0643.35094
Zhu, Guocheng; Li, Yishen
1
1987
Equivalent classes of integrable nonlinear evolution equations and generalised Miura transformations. Zbl 0663.35084
Chen, Dengyuan; Levi, D.; Li, Yishen
1
1987
Darboux transformations associated with Boiti-Tu eigenvalue problem. Zbl 0676.35071
Li, Yishen; Gu, Xinshen
1
1987
New analytical option pricing models with Weyl-Titchmarsh theory. Zbl 1279.91168
Zhang, Jin E.; Li, Yishen
1
2012
Bending of FGM sandwich plates with tunable auxetic core using DQM. Zbl 1511.74037
Liu, B. L.; Li, S.; Li, Y. S.
2
2023
Thermal buckling and free vibration of viscoelastic functionally graded sandwich shells with tunable auxetic honeycomb core. Zbl 1503.74036
Li, Y. S.; Liu, B. L.
3
2022
Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory. Zbl 1481.74282
Li, Y. S.; Xiao, T.
8
2021
Novel quadtree algorithm for adaptive analysis based on cell-based smoothed finite element method. Zbl 1464.74180
Huo, S. H.; Li, Y. S.; Duan, S. Y.; Han, X.; Liu, G. R.
9
2019
Bending of sinusoidal functionally graded piezoelectric plate under an in-plane magnetic field. Zbl 1446.74029
Li, Y. S.; Ren, J. H.; Feng, W. J.
7
2017
Multiple collinear Griffith cracks in a one-dimensional hexagonal quasicrystalline layer. Zbl 1380.74108
Li, Y. S.
3
2016
An inner annular crack in a superconducting cylinder and its crack front properties under applied magnetic field. Zbl 1452.74040
Feng, W. J.; Gao, S. W.; Li, Y. S.
1
2016
Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory. Zbl 1423.74401
Li, Y. S.; Pan, E.
61
2015
New analytical option pricing models with Weyl-Titchmarsh theory. Zbl 1279.91168
Zhang, Jin E.; Li, Yishen
1
2012
Designable integrability of the variable coefficient nonlinear Schrödinger equations. Zbl 1220.35158
He, J.; Li, Y.
21
2011
Rogue wave with a controllable center of nonlinear Schrödinger equation. Zbl 1247.35155
Wang, Xiao-Chun; He, Jing-Song; Li, Yi-Shen
8
2011
Soliton and rogue wave solution of the new nonautonomous nonlinear Schrödinger equation. Zbl 1247.35156
Wang, You-Ying; He, Jing-Song; Li, Yi-Shen
4
2011
Transient response of an interfacial crack between dissimilar magnetoelectroelastic layers under magnetoelectromechanical impact loadings: mode-I problem. Zbl 1167.74547
Feng, W. J.; Li, Y. S.; Xu, Z. H.
19
2009
A penny-shaped interface crack between a functionally graded piezoelectric layer and a homogeneous piezoelectric layer. Zbl 1241.74033
Li, Y. S.; Feng, W. J.; Xu, Z. H.
7
2009
Fracture analysis for two-dimensional plane problems of nonhomogeneous magneto-electro-thermo-elastic plates subjected to thermal shock by using the meshless local Petrov-Galerkin method. Zbl 1231.74283
Feng, W. J.; Han, X.; Li, Y. S.
2
2009
Multi-soliton and multi-cuspon solutions of a Camassa-Holm hierarchy and their interactions. Zbl 1155.35080
Dai, Hui-Hui; Li, Yishen; Su, Ting
2
2009
Bifurcations of travelling wave solutions for a two-component Camassa-Holm equation. Zbl 1182.34064
Li, Jibin; Li, Yishen
18
2008
A high accuracy hybrid method for two-dimensional Navier-Stokes equations. Zbl 1187.76722
Zhan, J. M.; Luo, Y. Y.; Li, Y. S.
3
2008
The multi-soliton solutions of the CH-\(\gamma\) equation. Zbl 1142.35091
Chen, Chun-Li; Li, Yi-Shen; Zhang, Jin-E
3
2008
The Darboux transformation of the Schrödinger equation with an energy-dependent potential. Zbl 1197.34173
Lin, Ji; Li, Yi-Shen; Qian, Xian-Min
13
2007
Determinant representation of Darboux transformation for the AKNS system. Zbl 1110.35302
He, Jingsong; Zhang, Ling; Cheng, Yi; Li, Yishen
35
2006
Some water wave equations and integrability. Zbl 1362.35269
Li, Yishen
25
2005
The interaction of the \(\omega\)-soliton and \(\omega\)-cuspon of the Camassa-Holm equation. Zbl 1119.35073
Dai, Hui-Hui; Li, Yishen
6
2005
The multiple-soliton solution of the Camassa-Holm equation. Zbl 1068.35109
Li, Yishen; Zhang, Jin E.
56
2004
Lie symmetry analysis and some new exact solutions of the Wu-Zhang equation. Zbl 1070.35004
Ji, Xiaoda; Chen, Chunli; Zhang, Jin E.; Li, Yishen
7
2004
On Boussinesq models of constant depth. Zbl 1186.76603
Zhang, Jin E.; Chen, Chunli; Li, Yishen
4
2004
Solitary wave solutions for a general Boussinesq type fluid model. Zbl 1051.35051
Chen, Chun-Li; Lou, Sen-Yue; Li, Yi-Shen
2
2004
Option pricing with Weyl-Titchmarsh theory. Zbl 1405.91635
Li, Yishen; Zhang, Jin E.
1
2004
Two choices of the gauge transformation for the AKNS hierarchy through the constrained KP hierarchy. Zbl 1062.37070
He, Jingsong; Li, Yishen; Cheng, Yi
16
2003
Bidirectional soliton solutions of the classical Boussinesq system and AKNS system. Zbl 1048.35103
Li, Yishen; Zhang, Jin E.
15
2003
Theory of bidirectional solitons on water. Zbl 1048.35107
Zhang, Jin E.; Li, Yishen
3
2003
The exact solutions of some \((2+1)\)-dimensional integrable systems. Zbl 1267.35182
Chen, Chun-Li; Li, Yi-Shen
21
2002
The Darboux transformation for NLS-MB equations. Zbl 1267.81306
He, Jing-Song; Cheng, Yi; Li, Yi-Shen
17
2002
The determinant representation of the gauge transformation operators. Zbl 1017.35101
He, Jingsong; Li, Yishen; Cheng, Yi
15
2002
A nonconfocal involutive system and constrained flows associated with the \(\text{MKdV}_-\) equation. Zbl 1060.37057
Li, Yishen; Ma, Wen-Xiu
11
2002
The Lund-Regge surface and its motion’s evolution equation. Zbl 1059.53007
Chen, Chunli; Li, Yishen
1
2002
Darboux transformations of classical Boussinesq system and its multi-soliton solutions. Zbl 0977.35114
Li, Yishen; Zhang, Jin E.
40
2001
Remarks on the solutions of the Kadomtsev-Petviashvili equation. Zbl 0981.35063
Han, W.; Li, Yishen
7
2001
Deep reduction of Darboux transformation to a \(3\times 3\) spectral problem. Zbl 0981.35083
Li, Yishen; Han, Wenting
1
2001
Darboux transformations of classical Boussinesq system and its new solutions. Zbl 1115.35329
Li, Yishen; Ma, Wen-Xiu; Zhang, Jin E.
61
2000
Binary nonlinearization of AKNS spectral problem under higher-order symmetry constraints. Zbl 1094.37503
Li, Yishen; Ma, Wen-Xiu
20
2000
Numerical modelling of multi-directional irregular waves through breakwaters. Zbl 1076.76545
Li, Y. S.; Liu, S.-X.; Yu, Y.-X.; Lai, G.-Z.
4
2000
Do symmetry constraints nonlinearize spectral problems into Hamiltonian systems? Zbl 0944.37040
Ma, Wenxiu; Li, Yishen
3
2000
Hamiltonian structures of binary higher-order constrained flows associated with two \(3\times 3\) spectral problems. Zbl 1115.37348
Li, Yishen; Ma, Wen-Xiu
3
2000
The motion of surfaces in geodesic coordinates and \(2+1\)-dimensional breaking soliton equation. Zbl 0987.37071
Li, Yishen; Chen, Chunli
1
2000
Separation of variables for soliton equations via Lax pair by constraint. Zbl 0961.35136
Li, Yishen
4
1999
Exact solution of the Schrödinger equation for the time-dependent harmonic oscillator. Zbl 0988.81032
Li, Yishen; He, Jingsong
2
1998
New symplectic maps: integrability and Lax representation. Zbl 0890.58018
Zeng, Yunbo; Li, Yishen
9
1997
The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy. Zbl 0867.35088
Zeng, Yunbo; Li, Yishen
14
1996
The reductions of the Darboux transformation and some soliton equations. Zbl 0899.35092
Li, Yishen
12
1996
The general scheme for higher-order decompositions of zero-curvature equations associated with \(\widetilde {sl}(2)\). Zbl 0896.58036
Zeng, Yunbo; Li, Yishen
2
1996
On a general approach from infinite-dimensional integrable Hamiltonian systems to finite-dimensional ones. Zbl 0834.58021
Zeng, Yunbo; Li, Yishen
6
1995
Two topics of the integrable soliton equation. Zbl 0850.35087
Li, Yishen
7
1994
The deduction of the Lax representation for constrained flows from the adjoint representation. Zbl 0772.58019
Zeng, Yunbo; Li, Yishen
33
1993
Symmetries of a \((2+1)\)-dimensional breaking soliton equation. Zbl 0835.35122
Li, Yishen; Zhang, Youjin
29
1993
An efficient three-dimensional semi-implicit finite element scheme for simulation of free surface flows. Zbl 0825.76447
Li, Y. S.; Zhan, J. M.
5
1993
Constraints of the 2+1 dimensional integrable soliton systems. Zbl 0749.35037
Cheng, Yi; Li, Yishen
43
1992
Line soliton interactions of a nonisospectral and variable-coefficient Kadomtsev-Petviashvili equation. Zbl 0761.35100
Chan, W. L.; Li, Kam-Shun; Li, Yi-Shen
15
1992
(1+1)-dimensional Hamiltonian systems as symmetry constraints of the Kadomtsev-Petviashvili equation. Zbl 0754.35153
Xu, Bing; Li, Yishen
13
1992
New forms of the Darboux transformation for KdV and KP equations. Zbl 0763.35080
Li, Yishen
1
1992
On complete integrability of a hierarchy of finite-dimensional Hamiltonian systems. Zbl 0781.35064
Zeng, Yunbo; Li, Yishen
1
1992
New symmetry and its Lie algebra for the matrix evolution equation of AKNS type. Zbl 0738.35085
Chen, Dengyuan; Zhe, Guocheng; Li, Yishen
4
1991
Connections among symmetries, Bäcklund transformation and the Painlevé property for Burger’s hierarchies. Zbl 0743.35066
Cheng, Yi; Wang, Cunqi; Tian, Chou; Li, Yishen
4
1991
Lax algebra for the AKNS system. Zbl 0766.47036
Cheng, Yi; Li, Yishen
1
1991
Hamiltonian structure of the super evolution equation. Zbl 0705.58024
Li, Yishen; Zhang, Lining
19
1990
Integrable Hamiltonian systems related to the polynomial eigenvalue problem. Zbl 0850.70174
Zeng, Yunbo; Li, Yishen
10
1990
An approach to the integrability of Hamiltonian systems obtained by reduction. Zbl 0716.58017
Zeng, Yunbo; Li, Yishen
7
1990
Three kinds of constraints of potential for KdV hierarchy. Zbl 0721.35081
Zeng, Yunbo; Li, Yishen
7
1990
Symmetries and the Lie algebra for the matrix evolution equation of KdV type. Zbl 0709.35089
Chen, Dengyuan; Zhu, Guocheng; Li, Yishen
4
1990
The gauge equivalence of the Davey-Stewartson equation and \((2+1)\)- dimensional continuous Heisenberg ferromagnetic model. Zbl 0711.35133
Cheng, Yi; Li, Yishen; Tang, Guoxiong
3
1990
Some algebraic properties of “C-integrable” nonlinear equations. I: Burgers equation and Calogero equation. Zbl 0712.35087
Li, Yishen
2
1990
Nonlinear physics. Proceedings of the international conference, Shanghai, PeopleJs Rep. of China, April 24-30, 1989. Zbl 0718.00015
2
1990
The constraints of potentials and the finite-dimensional integrable systems. Zbl 0695.58016
Zeng, Yunbo; Li, Yishen
37
1989
An efficient split-operator scheme for 2-D advection-diffusion simulations using finite elements and characteristics. Zbl 0678.76090
Li, Y. S.; Chen, C. P.
2
1989
Gauge transformation, Bäcklund transformation and the nonlinear superposition formula. Zbl 0692.35116
Li, Yishen
1
1989
Integrable non-isospectral flows associated with the Kadomtsev- Petviashvili equations in \(2+1\) dimensions. Zbl 0662.35110
Yi, Cheng; Li, Yishen; Bullough, R. K.
5
1988
A note on the super AKNS equations. Zbl 0695.35160
Li, Yishen; Zhang, Lining
4
1988
Symmetries and constants of motion for the new KdV hierarchies. Zbl 0669.35101
Li, Yishen; Cheng, Yi
3
1988
Three kinds of Darboux transformation for the evolution equations which connect with A.K.N.S. eigenvalue problem. Zbl 0669.35098
Li, Yishen; Gu, Xinshen; Zou, Maorong
19
1987
Symmetries and constants of motion of new AKNS hierarchies. Zbl 0633.35078
Cheng, Yi; Li, Yishen
3
1987
New set of symmetries for integrable equations, Lie algebra, non- isospectral eigenvalue problems. I. Zbl 0656.35126
Li, Yishen; Zhu, Guocheng
3
1987
Symmetries and constants of motion for new hierarchy of the KP equations. Zbl 0638.35078
Cheng, Yi.; Li, Yishen
3
1987
Bäcklund transformations and Darboux transformations. Zbl 0663.35060
Li, Yishen
2
1987
New set of symmetries for the integrable equations, Lie algebra, non- isospectral evolution equations. III. Zbl 0643.35094
Zhu, Guocheng; Li, Yishen
1
1987
Equivalent classes of integrable nonlinear evolution equations and generalised Miura transformations. Zbl 0663.35084
Chen, Dengyuan; Levi, D.; Li, Yishen
1
1987
Darboux transformations associated with Boiti-Tu eigenvalue problem. Zbl 0676.35071
Li, Yishen; Gu, Xinshen
1
1987
New set of symmetries of the integrable equations, Lie algebra and non- isospectral equations. II: AKNS system. Zbl 0658.35077
Li, Yishen; Zhu, Guocheng
20
1986
The transformation operator \({\mathcal V}\) of nonlinear evolution equation. Zbl 0637.35076
Chen, Dengyuan; Li, Yishen
4
1986
The transformation operator IV of nonlinear evolution equations. Zbl 0675.35073
Li, Yishen; Chen, Dengyuan
3
1986
The equivalence of three classes of nonlinear evolution equations. Zbl 0675.35074
Li, Yishen; Chen, Dengyuan
3
1986
Generating solutions of the Boussinesq equation by the Darboux transformation of third order eigenvalue differential equations. Zbl 0642.35012
Li, Yishen; Gu, Xinshen
2
1986
Transformation operator between recursion operators of Bäcklund transforms. I. Zbl 0605.35073
Chen, Dengyuan; Li, Yishen; Zeng, Yunbo
3
1985
On the transformations of the potentials, integrable evolution equations and Bäcklund transformations. Zbl 0613.35064
Zeng, Yungbo; Chen, Dengyuan; Li, Yishen
2
1985
The equivalence of two classes of nonlinear evolution equations. Zbl 0518.35063
Li, Yishen; Zhuang, Dawei
1
1983
Nonlinear evolution equations associated with eigenvalue problems of energy dependent potentials. Zbl 0502.35071
Li, Yishen; Zhuang, Dawei
10
1982
A class of evolution equations and the spectral deformation. Zbl 0498.35073
Li, Yishen
9
1982
A class matrix evolution equations. Zbl 0508.35025
Zhu, Guocheng; Chen, Dengyuan; Zeng, Yunbo; Zhang, Etang; Li, Yishen
2
1982
The structure equation of Lie group and some evolution equations. Zbl 0541.35069
Li, Yishen
1
1982
One-dimensional finite element method in hydrodynamic stability. Zbl 0458.76030
Li, Y. S.; Kot, S. C.
4
1981
all top 5

Cited by 654 Authors

39 He, Jingsong
27 Ma, Wen-Xiu
27 Zhang, Yufeng
25 Zeng, Yunbo
22 Cheng, Yi
22 Li, Yishen
21 Geng, Xianguo
19 Gao, Yitian
19 Li, Chuanzhong
15 Tian, Bo
14 Chen, Dengyuan
14 Zhang, Dajun
14 Zhou, Ruguang
13 Zhaqilao, Z.
11 Cheng, Jipeng
11 Li, Nianhua
11 Schulze-Halberg, Axel
11 Tam, Hon-Wah
11 Xu, Xixiang
11 Yu, Jing
10 Qiao, Zhijun
10 Sun, Yepeng
10 Zhang, Hongqing
9 Wang, Lei
9 Zhao, Qiulan
8 Fan, Engui
8 Li, Xinyue
8 Strampp, Walter
8 Wang, Haifeng
7 Dong, Huanhe
7 Li, Jibin
7 Liu, Qingping
7 Zhang, Jianbing
6 Chen, Chunli
6 Dai, Chaoqing
6 Gai, Xiaoling
6 Guo, Rui
6 Han, Jingwei
6 Li, Hongmin
6 Lou, Senyue
6 Meng, Dexin
6 Qiu, Deqin
6 Xu, Tao
6 Zhang, Yongshuai
5 Cao, Cewen
5 Chen, Aihua
5 Chen, Yong
5 Gordoa, Pilar Ruiz
5 Hu, Xingbiao
5 Ji, Jie
5 Li, Juan
5 Li, Zhibin
5 Li, Zhu
5 Lin, Runliang
5 Lü, Xing
5 Meng, Xianghua
5 Parker, Allen
5 Sun, Zhiyuan
5 Wang, Lihong
5 Yao, Yuqin
5 You, Fucai
5 Yu, Fajun
5 Yu, Xin
5 Zhang, Youjin
5 Zhu, Zuonong
4 Chen, Huizhan
4 Chen, Jinbing
4 Dai, Zhengde
4 Hao, Huiqin
4 Li, Maohua
4 Liu, Wei
4 Liu, Zhengrong
4 Long, Yao
4 Pickering, Andrew
4 Qin, Zhenyun
4 Roy, Pinaki
4 Tian, Kai
4 Tian, Shoufu
4 Wen, Xiaoyong
4 Xu, Shuwei
4 Yang, Hongxiang
4 Zhang, Haiqiang
4 Zhang, Jiao
4 Zhang, Jiefang
4 Zhang, Jin E.
4 Zhang, Sheng
4 Zheng, Chunlong
3 Du, Dianlou
3 Feng, Binlu
3 Gegenhasi
3 Geng, Lumin
3 Gu, Xinshen
3 He, Bin
3 Huang, Yehui
3 Inc, Mustafa
3 Li, Na
3 Li, Xuemei
3 Li, Yuqi
3 Li, Yuxia
3 Ling, Liming
...and 554 more Authors
all top 5

Cited in 97 Serials

79 Journal of Mathematical Physics
51 Chaos, Solitons and Fractals
40 Communications in Nonlinear Science and Numerical Simulation
36 Physics Letters. A
30 Applied Mathematics and Computation
24 Journal of Nonlinear Mathematical Physics
23 Nonlinear Dynamics
18 Applied Mathematics Letters
15 Computers & Mathematics with Applications
15 Physica D
14 Mathematical Methods in the Applied Sciences
14 Theoretical and Mathematical Physics
13 Acta Mathematicae Applicatae Sinica. English Series
12 International Journal of Modern Physics B
11 Journal of Mathematical Analysis and Applications
10 Communications in Theoretical Physics
9 Annals of Physics
9 International Journal of Geometric Methods in Modern Physics
8 Physica A
8 Abstract and Applied Analysis
7 Journal of Geometry and Physics
7 Studies in Applied Mathematics
7 Advances in Mathematical Physics
6 Letters in Mathematical Physics
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Acta Mathematica Sinica. New Series
6 Advances in Difference Equations
5 Modern Physics Letters B
5 Reports on Mathematical Physics
5 Science in China. Series A
5 Acta Mathematica Sinica. English Series
4 Wave Motion
4 Applied Mathematics and Mechanics. (English Edition)
4 Chinese Annals of Mathematics. Series B
4 International Journal of Computer Mathematics
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 International Journal of Nonlinear Sciences and Numerical Simulation
3 Communications in Mathematical Physics
3 International Journal of Theoretical Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Journal of Computational and Applied Mathematics
3 Acta Applicandae Mathematicae
3 Journal of Nonlinear Science
3 Discrete Dynamics in Nature and Society
3 Nonlinear Analysis. Real World Applications
3 Waves in Random and Complex Media
3 Journal of Physics A: Mathematical and Theoretical
3 Science China. Mathematics
3 Analysis and Mathematical Physics
3 Journal of Applied Analysis and Computation
2 International Journal of Modern Physics A
2 Computer Physics Communications
2 Reviews in Mathematical Physics
2 Journal of Differential Equations
2 Mathematics and Computers in Simulation
2 International Journal of Mathematics
2 Physics of Fluids
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Mathematical Problems in Engineering
2 Mathematical Physics, Analysis and Geometry
2 Journal of Shanghai University
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Boundary Value Problems
2 Journal of Mathematical Research with Applications
1 Modern Physics Letters A
1 Acta Mechanica
1 Computers and Fluids
1 General Relativity and Gravitation
1 Journal of Statistical Physics
1 Nonlinearity
1 Advances in Mathematics
1 Monatshefte für Mathematik
1 Quaestiones Mathematicae
1 Numerical Algorithms
1 Applied Mathematics. Series B (English Edition)
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 Filomat
1 Complexity
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Chaos
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of High Energy Physics
1 Czechoslovak Journal of Physics
1 The ANZIAM Journal
1 Far East Journal of Dynamical Systems
1 Quantitative Finance
1 Journal of Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Applied Mathematics and Computing
1 Journal of Hyperbolic Differential Equations
1 Mediterranean Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Zhejiang University. Science A
1 Discrete and Continuous Dynamical Systems. Series S
1 Symmetry
1 East Asian Journal on Applied Mathematics

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