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Author ID: cheng.yi.2 Recent zbMATH articles by "Cheng, Yi"
Published as: Cheng, Yi; Cheng, Y.; Cheng, Yi.
all top 5

Serials

8 Journal of Mathematical Physics
6 Physica D
6 Journal of Physics A: Mathematical and General
6 Communications in Nonlinear Science and Numerical Simulation
6 Communications in Theoretical Physics
5 Chinese Annals of Mathematics. Series A
4 Chinese Annals of Mathematics. Series B
4 Journal of China University of Science and Technology
3 Communications in Mathematical Physics
2 Inverse Problems
2 Letters in Mathematical Physics
2 Physics Letters. A
2 Studies in Applied Mathematics
2 Acta Mathematicae Applicatae Sinica
2 Applied Mathematics Letters
2 Science in China. Series A
2 Scientia Sinica. Series A
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Journal of University of Science and Technology of China
2 Journal of Physics A: Mathematical and Theoretical
2 Science China. Mathematics
1 Modern Physics Letters B
1 International Journal of Modern Physics A
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. B
1 Theoretical and Mathematical Physics
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Acta Mathematica Sinica
1 Operations Research
1 Osaka Journal of Mathematics
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Partial Differential Equations
1 Chinese Science Bulletin
1 Journal of Knot Theory and its Ramifications
1 Nonlinear Dynamics
1 Acta Mathematica Sinica. English Series
1 Engineering Computations
1 Journal of High Energy Physics
1 Journal of Nonlinear Mathematical Physics
1 Chinese Journal of Contemporary Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

Publications by Year

Citations contained in zbMATH Open

75 Publications have been cited 984 times in 663 Documents Cited by Year
Constraints of the Kadomtsev-Petviashvili hierarchy. Zbl 0761.35101
Cheng, Yi
110
1992
Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250
Rao, J.; Cheng, Y.; He, J.
91
2017
Constraints of the 2+1 dimensional integrable soliton systems. Zbl 0749.35037
Cheng, Yi; Li, Yishen
41
1992
Determinant representation of Darboux transformation for the AKNS system. Zbl 1110.35302
He, Jingsong; Zhang, Ling; Cheng, Yi; Li, Yishen
35
2006
The \(n\)-order rogue waves of Fokas-Lenells equation. Zbl 1318.35112
Xu, Shuwei; He, Jingsong; Cheng, Yi; Porseizan, K.
34
2015
Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole. Zbl 1453.37063
Zhang, Yongshuai; Rao, Jiguang; Cheng, Yi; He, Jingsong
34
2019
Riemann-Hilbert method and \(N\)-Soliton for two-component Gerdjikov-Ivanov equation. Zbl 1420.35389
Zhang, Yongshuai; Cheng, Yi; He, Jingsong
33
2017
Yang-Baxterization of braid group representations. Zbl 0716.57007
Cheng, Y.; Ge, M. L.; Xue, K.
33
1991
\(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background. Zbl 1453.37068
Rao, Jiguang; Cheng, Yi; Porsezian, Kuppuswamy; Mihalache, Dumitru; He, Jingsong
33
2020
Modifying the KP, the \(n^{th}\) constrained KP hierarchies and their Hamiltonian structures. Zbl 0838.35113
Cheng, Yi
29
1995
Tau function and Hirota bilinear equations for the extended bigraded Toda hierarchy. Zbl 1310.37033
Li, Chuanzhong; He, Jingsong; Wu, Ke; Cheng, Yi
28
2010
\(q\)-deformed KP hierarchy and \(q\)-deformed constrained KP hierarchy. Zbl 1093.37027
He, Jingsong; Li, Yinghua; Cheng, Yi
24
2006
Solutions for the vector \(k\)-constrained KP hierarchy. Zbl 0817.35099
Zhang, You-Jin; Cheng, Yi
24
1994
Binary nonlinearization of the super AKNS system. Zbl 1154.37364
He, Jingsong; Yu, Jing; Cheng, Yi; Zhou, Ruguan
23
2008
Gauge transformations for the constrained CKP and BKP hierarchies. Zbl 1153.81373
He, Jingsong; Wu, Zhiwei; Cheng, Yi
22
2007
The determinant representation of the gauge transformation for the discrete KP hierarchy. Zbl 1193.35170
Liu, Shaowei; Cheng, Yi; He, Jingsong
19
2010
Additional symmetries of constrained CKP and BKP hierarchies. Zbl 1217.37060
Tian, Kelei; He, Jingsong; Cheng, Jipeng; Cheng, Yi
18
2011
Bilinear equations for the constrained KP hierarchy. Zbl 0804.35119
Cheng, Yi; Zhang, Youjin
17
1994
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
Lump-soliton solutions to the Fokas system. Zbl 1475.35110
Rao, Jiguang; Mihalache, Dumitru; Cheng, Yi; He, Jingsong
15
2019
The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems. Zbl 1200.35244
Yu, Jing; He, Jingsong; Ma, Wenxiu; Cheng, Yi
15
2010
The Darboux transformation for NLS-MB equations. Zbl 1267.81306
He, Jing-Song; Cheng, Yi; Li, Yi-Shen
15
2002
The determinant representation of the gauge transformation operators. Zbl 1017.35101
He, Jingsong; Li, Yishen; Cheng, Yi
15
2002
Sato’s Bäcklund transformations, additional symmetries and ASvM formula for the discrete KP hierarchy. Zbl 1195.37041
Liu, Shaowei; Cheng, Yi
14
2010
\(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves. Zbl 1434.35193
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi
13
2020
Dynamics and interaction scenarios of localized wave structures in the Kadomtsev-Petviashvili-based system. Zbl 1412.35051
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi
13
2019
Constraints of the KP hierarchy and multilinear forms. Zbl 0821.35121
Cheng, Yi; Strampp, Walter; Zhang, Bin
12
1995
Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions. Zbl 1434.37040
Cao, Yulei; He, Jingsong; Cheng, Yi; Mihalache, Dumitru
12
2020
Degeneration of breathers in the Kadomttsev-Petviashvili I equation. Zbl 1456.35183
Yuan, Feng; Cheng, Yi; He, Jingsong
12
2020
Virasoro type algebraic structure hidden in the constrained discrete Kadomtsev-Petviashvili hierarchy. Zbl 1298.37053
Li, Maohua; Li, Chuanzhong; Tian, Keilei; He, Jingsong; Cheng, Yi
11
2013
Rogue waves and lumps on the nonzero background in the \(\mathcal{PT}\)-symmetric nonlocal Maccari system. Zbl 1487.35348
Cao, Yulei; Cheng, Yi; Malomed, Boris A.; He, Jingsong
10
2021
Solving bi-directional soliton equations in the KP hierarchy by gauge transformation. Zbl 1226.35069
He, Jingsong; Cheng, Yi; Römer, Rudolf A.
9
2006
Integrable systems associated with the Schrödinger spectral problem in the plane. Zbl 0737.35114
Cheng, Y.
8
1991
String equations of the \( q \)-KP hierarchy. Zbl 1259.35187
Tian, Kelei; He, Jingsong; Su, Yucai; Cheng, Yi
8
2011
High-order rogue wave solutions of the classical massive Thirring model equations. Zbl 1510.35177
Guo, Lijuan; Wang, Lihong; Cheng, Yi; He, Jingsong
8
2017
Dynamics of interaction between lumps and solitons in the Mel’nikov equation. Zbl 1448.35437
Rao, Jiguang; Malomed, Boris A.; Cheng, Yi; He, Jingsong
8
2020
The Darboux transformation for the Wadati-Konno-Ichikawa system. Zbl 1377.37106
Zhang, Yongshuai; Qiu, Deqin; Cheng, Yi; He, Jingsong
7
2017
The KW theorem for the SKP hierarchy. Zbl 0966.37033
He, Jingsong; Cheng, Yi
7
1999
A novel symmetry constraint of the super cKdV system. Zbl 1203.35253
Yu, Jing; He, Jingsong; Cheng, Yi; Han, Jingwei
7
2010
Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrödinger equation. Zbl 1510.35300
Guo, Lijuan; Wang, Lihong; Cheng, Yi; He, Jingsong
7
2019
Symmetries and hierarchies of equations for the \((2+1)\)-dimensional N- wave interaction. Zbl 0688.35079
Cheng, Y.
5
1989
Bilinear Bäcklund transformations for the KP and \(k\)-constrained KP hierarchy. Zbl 0992.37503
Cheng, Yi; Strampp, W.; Zhang, Youjin
5
1993
Hierarchies of nonlinear integrable equations and their symmetries in \(2+1\) dimensions. Zbl 0717.35075
Cheng, Yi
5
1990
Rogue breathers and rogue lumps on a background of dark line solitons for the Maccari system. Zbl 1476.35224
Jiang, Ying; Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi
5
2021
The Davey-Stewartson I equation: doubly localized two-dimensional rogue lumps on the background of homoclinic orbits or constant. Zbl 1492.35283
Rao, Jiguang; He, Jingsong; Cheng, Yi
4
2022
The Virasoro and Kac-Moody symmetries for the principal chiral model. Zbl 0695.35167
Cheng, Y.
4
1988
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
New solutions of Yang-Baxter equation and new link polynomials. Zbl 0772.57006
Cheng, Yi; Ge, Mo-Lin; Liu, G. C.; Xue, Kang
4
1992
The Wronskian structure for solution of the \(k\)-constrained KP hierarchy. Zbl 0848.35119
Zhang, Youjin; Cheng, Yi
4
1994
Symmetries and constants of motion for new hierarchy of the KP equations. Zbl 0638.35078
Cheng, Yi.; Li, Yishen
3
1987
Symmetries and constants of motion for the new KdV hierarchies. Zbl 0669.35101
Li, Yishen; Cheng, Yi
3
1988
Darboux transformations for space-like isothermic surfaces in \(\mathbb{R}^{m,1}\). Zbl 1167.53301
Zuo, Da-Feng; Chen, Qing; Cheng, Yi
3
2004
The \((2+1)\) dimensional breaking soliton equation and its special solutions. Zbl 1057.35045
Cheng, Yi; He, Jingsong; Zeng, Xudong
3
2001
\(q\)-deformed Gelfand-Dickey hierarchy and a determinant representation of its gauge transformation. Zbl 1053.37044
He, Jinsong; Li, Yinghua; Cheng, Yi
3
2004
Similarity reduction of a \((3+1)\) Navier-Stokes system. Zbl 1182.76936
Kamran, Fakhar; Zuchi, Chen; Xiaoda, Ji; Cheng, Yi
3
2006
Symmetries and constants of motion of new AKNS hierarchies. Zbl 0633.35078
Cheng, Yi; Li, Yishen
3
1987
The recursion operator for a constrained CKP hierarchy. Zbl 1249.37040
Li, Chuanzhong; Tian, Kelei; He, Jingsong; Cheng, Yi
3
2011
Bäcklund theorems in three-dimensional de Sitter space and anti-de Sitter space. Zbl 1022.53024
Zuo, Dafeng; Chen, Qing; Cheng, Yi
3
2002
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
Dynamics of lump-soliton solutions to the \(PT\)-symmetric nonlocal Fokas system. Zbl 1524.35509
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi
2
2021
High-order breather, \(M\)-kink lump and semi-rational solutions of potential Kadomtsev-Petviashvili equation. Zbl 1521.35152
Cao, Yulei; Cheng, Yi; He, Jingsong; Chen, Yiren
2
2021
On discrete Ablowitz-Ladik eigenvalue problem. Zbl 0595.34023
Cheng, Yi
2
1986
The determinant representation of Darboux transforms for matrix AKNS hierarchy. Zbl 1061.35100
Zheng, Zhong; He, Jingsong; Cheng, Yi
2
2004
New solutions of the Yang-Baxter equation and their Yang-Baxterization. Zbl 0736.17011
Couture, M.; Cheng, Y.; Ge, M. L.; Xue, K.
2
1991
Virasoro and W-constraints for the \(q\)-KP hierarchy. Zbl 1384.37088
Tian, Kelei; He, Jingsong; Cheng, Yi
2
2010
Free-field realization of the \(W_{KP}^{(N)}\) algebra. Zbl 0833.35122
Cheng, Yi
2
1995
Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. Zbl 1489.35257
Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi
2
2022
Resonant collisions of high-order localized waves in the Maccari system. Zbl 1512.35506
Cao, Yulei; Cheng, Yi; He, Jingsong
1
2023
Binary nonlinearization of the nonlinear Schrödinger equation under an implicit symmetry constraint. Zbl 1333.37110
Yu, Jing; He, Jing-Song; Cheng, Yi
1
2014
Asymptotic behavior and area growth of minimal surfaces in \(H^n\). Zbl 0971.53038
Chen, Qing; Cheng, Yi
1
1999
\(G^{p,q}_{m,n}\)-system II and diagonalizable timelike immersions in \(\mathbb R^{p,m}\). Zbl 1073.35201
Zuo, Dafeng; Chen, Qing; Cheng, Yi
1
2004
On general solitons in the parity-time-symmetric defocusing nonlinear Schrödinger equation. Zbl 1466.35332
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi
1
2021
Spectral transformation of constant mean curvature surfaces in \(\mathbb{H}^3\) and Weierstrass representation. Zbl 1100.53007
Chen, Qing; Cheng, Yi
1
2002
Lax algebra for the AKNS system. Zbl 0766.47036
Cheng, Yi; Li, Yishen
1
1991
2\(+1\) dimensional integrable hierarchies, Lax operators and relevant algebraic structures. Zbl 0728.35126
Cheng, Yi
1
1990
Resonant collisions of high-order localized waves in the Maccari system. Zbl 1512.35506
Cao, Yulei; Cheng, Yi; He, Jingsong
1
2023
The Davey-Stewartson I equation: doubly localized two-dimensional rogue lumps on the background of homoclinic orbits or constant. Zbl 1492.35283
Rao, Jiguang; He, Jingsong; Cheng, Yi
4
2022
Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. Zbl 1489.35257
Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi
2
2022
Rogue waves and lumps on the nonzero background in the \(\mathcal{PT}\)-symmetric nonlocal Maccari system. Zbl 1487.35348
Cao, Yulei; Cheng, Yi; Malomed, Boris A.; He, Jingsong
10
2021
Rogue breathers and rogue lumps on a background of dark line solitons for the Maccari system. Zbl 1476.35224
Jiang, Ying; Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi
5
2021
Dynamics of lump-soliton solutions to the \(PT\)-symmetric nonlocal Fokas system. Zbl 1524.35509
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi
2
2021
High-order breather, \(M\)-kink lump and semi-rational solutions of potential Kadomtsev-Petviashvili equation. Zbl 1521.35152
Cao, Yulei; Cheng, Yi; He, Jingsong; Chen, Yiren
2
2021
On general solitons in the parity-time-symmetric defocusing nonlinear Schrödinger equation. Zbl 1466.35332
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi
1
2021
\(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background. Zbl 1453.37068
Rao, Jiguang; Cheng, Yi; Porsezian, Kuppuswamy; Mihalache, Dumitru; He, Jingsong
33
2020
\(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves. Zbl 1434.35193
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi
13
2020
Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions. Zbl 1434.37040
Cao, Yulei; He, Jingsong; Cheng, Yi; Mihalache, Dumitru
12
2020
Degeneration of breathers in the Kadomttsev-Petviashvili I equation. Zbl 1456.35183
Yuan, Feng; Cheng, Yi; He, Jingsong
12
2020
Dynamics of interaction between lumps and solitons in the Mel’nikov equation. Zbl 1448.35437
Rao, Jiguang; Malomed, Boris A.; Cheng, Yi; He, Jingsong
8
2020
Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole. Zbl 1453.37063
Zhang, Yongshuai; Rao, Jiguang; Cheng, Yi; He, Jingsong
34
2019
Lump-soliton solutions to the Fokas system. Zbl 1475.35110
Rao, Jiguang; Mihalache, Dumitru; Cheng, Yi; He, Jingsong
15
2019
Dynamics and interaction scenarios of localized wave structures in the Kadomtsev-Petviashvili-based system. Zbl 1412.35051
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi
13
2019
Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrödinger equation. Zbl 1510.35300
Guo, Lijuan; Wang, Lihong; Cheng, Yi; He, Jingsong
7
2019
Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250
Rao, J.; Cheng, Y.; He, J.
91
2017
Riemann-Hilbert method and \(N\)-Soliton for two-component Gerdjikov-Ivanov equation. Zbl 1420.35389
Zhang, Yongshuai; Cheng, Yi; He, Jingsong
33
2017
High-order rogue wave solutions of the classical massive Thirring model equations. Zbl 1510.35177
Guo, Lijuan; Wang, Lihong; Cheng, Yi; He, Jingsong
8
2017
The Darboux transformation for the Wadati-Konno-Ichikawa system. Zbl 1377.37106
Zhang, Yongshuai; Qiu, Deqin; Cheng, Yi; He, Jingsong
7
2017
The \(n\)-order rogue waves of Fokas-Lenells equation. Zbl 1318.35112
Xu, Shuwei; He, Jingsong; Cheng, Yi; Porseizan, K.
34
2015
Binary nonlinearization of the nonlinear Schrödinger equation under an implicit symmetry constraint. Zbl 1333.37110
Yu, Jing; He, Jing-Song; Cheng, Yi
1
2014
Virasoro type algebraic structure hidden in the constrained discrete Kadomtsev-Petviashvili hierarchy. Zbl 1298.37053
Li, Maohua; Li, Chuanzhong; Tian, Keilei; He, Jingsong; Cheng, Yi
11
2013
Additional symmetries of constrained CKP and BKP hierarchies. Zbl 1217.37060
Tian, Kelei; He, Jingsong; Cheng, Jipeng; Cheng, Yi
18
2011
String equations of the \( q \)-KP hierarchy. Zbl 1259.35187
Tian, Kelei; He, Jingsong; Su, Yucai; Cheng, Yi
8
2011
The recursion operator for a constrained CKP hierarchy. Zbl 1249.37040
Li, Chuanzhong; Tian, Kelei; He, Jingsong; Cheng, Yi
3
2011
Tau function and Hirota bilinear equations for the extended bigraded Toda hierarchy. Zbl 1310.37033
Li, Chuanzhong; He, Jingsong; Wu, Ke; Cheng, Yi
28
2010
The determinant representation of the gauge transformation for the discrete KP hierarchy. Zbl 1193.35170
Liu, Shaowei; Cheng, Yi; He, Jingsong
19
2010
The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems. Zbl 1200.35244
Yu, Jing; He, Jingsong; Ma, Wenxiu; Cheng, Yi
15
2010
Sato’s Bäcklund transformations, additional symmetries and ASvM formula for the discrete KP hierarchy. Zbl 1195.37041
Liu, Shaowei; Cheng, Yi
14
2010
A novel symmetry constraint of the super cKdV system. Zbl 1203.35253
Yu, Jing; He, Jingsong; Cheng, Yi; Han, Jingwei
7
2010
Virasoro and W-constraints for the \(q\)-KP hierarchy. Zbl 1384.37088
Tian, Kelei; He, Jingsong; Cheng, Yi
2
2010
Binary nonlinearization of the super AKNS system. Zbl 1154.37364
He, Jingsong; Yu, Jing; Cheng, Yi; Zhou, Ruguan
23
2008
Gauge transformations for the constrained CKP and BKP hierarchies. Zbl 1153.81373
He, Jingsong; Wu, Zhiwei; Cheng, Yi
22
2007
Determinant representation of Darboux transformation for the AKNS system. Zbl 1110.35302
He, Jingsong; Zhang, Ling; Cheng, Yi; Li, Yishen
35
2006
\(q\)-deformed KP hierarchy and \(q\)-deformed constrained KP hierarchy. Zbl 1093.37027
He, Jingsong; Li, Yinghua; Cheng, Yi
24
2006
Solving bi-directional soliton equations in the KP hierarchy by gauge transformation. Zbl 1226.35069
He, Jingsong; Cheng, Yi; Römer, Rudolf A.
9
2006
Similarity reduction of a \((3+1)\) Navier-Stokes system. Zbl 1182.76936
Kamran, Fakhar; Zuchi, Chen; Xiaoda, Ji; Cheng, Yi
3
2006
Darboux transformations for space-like isothermic surfaces in \(\mathbb{R}^{m,1}\). Zbl 1167.53301
Zuo, Da-Feng; Chen, Qing; Cheng, Yi
3
2004
\(q\)-deformed Gelfand-Dickey hierarchy and a determinant representation of its gauge transformation. Zbl 1053.37044
He, Jinsong; Li, Yinghua; Cheng, Yi
3
2004
The determinant representation of Darboux transforms for matrix AKNS hierarchy. Zbl 1061.35100
Zheng, Zhong; He, Jingsong; Cheng, Yi
2
2004
\(G^{p,q}_{m,n}\)-system II and diagonalizable timelike immersions in \(\mathbb R^{p,m}\). Zbl 1073.35201
Zuo, Dafeng; Chen, Qing; Cheng, Yi
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
The Darboux transformation for NLS-MB equations. Zbl 1267.81306
He, Jing-Song; Cheng, Yi; Li, Yi-Shen
15
2002
The determinant representation of the gauge transformation operators. Zbl 1017.35101
He, Jingsong; Li, Yishen; Cheng, Yi
15
2002
Bäcklund theorems in three-dimensional de Sitter space and anti-de Sitter space. Zbl 1022.53024
Zuo, Dafeng; Chen, Qing; Cheng, Yi
3
2002
Spectral transformation of constant mean curvature surfaces in \(\mathbb{H}^3\) and Weierstrass representation. Zbl 1100.53007
Chen, Qing; Cheng, Yi
1
2002
The \((2+1)\) dimensional breaking soliton equation and its special solutions. Zbl 1057.35045
Cheng, Yi; He, Jingsong; Zeng, Xudong
3
2001
The KW theorem for the SKP hierarchy. Zbl 0966.37033
He, Jingsong; Cheng, Yi
7
1999
Asymptotic behavior and area growth of minimal surfaces in \(H^n\). Zbl 0971.53038
Chen, Qing; Cheng, Yi
1
1999
Modifying the KP, the \(n^{th}\) constrained KP hierarchies and their Hamiltonian structures. Zbl 0838.35113
Cheng, Yi
29
1995
Constraints of the KP hierarchy and multilinear forms. Zbl 0821.35121
Cheng, Yi; Strampp, Walter; Zhang, Bin
12
1995
Free-field realization of the \(W_{KP}^{(N)}\) algebra. Zbl 0833.35122
Cheng, Yi
2
1995
Solutions for the vector \(k\)-constrained KP hierarchy. Zbl 0817.35099
Zhang, You-Jin; Cheng, Yi
24
1994
Bilinear equations for the constrained KP hierarchy. Zbl 0804.35119
Cheng, Yi; Zhang, Youjin
17
1994
The Wronskian structure for solution of the \(k\)-constrained KP hierarchy. Zbl 0848.35119
Zhang, Youjin; Cheng, Yi
4
1994
Bilinear Bäcklund transformations for the KP and \(k\)-constrained KP hierarchy. Zbl 0992.37503
Cheng, Yi; Strampp, W.; Zhang, Youjin
5
1993
Constraints of the Kadomtsev-Petviashvili hierarchy. Zbl 0761.35101
Cheng, Yi
110
1992
Constraints of the 2+1 dimensional integrable soliton systems. Zbl 0749.35037
Cheng, Yi; Li, Yishen
41
1992
New solutions of Yang-Baxter equation and new link polynomials. Zbl 0772.57006
Cheng, Yi; Ge, Mo-Lin; Liu, G. C.; Xue, Kang
4
1992
Yang-Baxterization of braid group representations. Zbl 0716.57007
Cheng, Y.; Ge, M. L.; Xue, K.
33
1991
Integrable systems associated with the Schrödinger spectral problem in the plane. Zbl 0737.35114
Cheng, Y.
8
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
New solutions of the Yang-Baxter equation and their Yang-Baxterization. Zbl 0736.17011
Couture, M.; Cheng, Y.; Ge, M. L.; Xue, K.
2
1991
Lax algebra for the AKNS system. Zbl 0766.47036
Cheng, Yi; Li, Yishen
1
1991
Hierarchies of nonlinear integrable equations and their symmetries in \(2+1\) dimensions. Zbl 0717.35075
Cheng, Yi
5
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
2\(+1\) dimensional integrable hierarchies, Lax operators and relevant algebraic structures. Zbl 0728.35126
Cheng, Yi
1
1990
Symmetries and hierarchies of equations for the \((2+1)\)-dimensional N- wave interaction. Zbl 0688.35079
Cheng, Y.
5
1989
The Virasoro and Kac-Moody symmetries for the principal chiral model. Zbl 0695.35167
Cheng, Y.
4
1988
Symmetries and constants of motion for the new KdV hierarchies. Zbl 0669.35101
Li, Yishen; Cheng, Yi
3
1988
Symmetries and constants of motion for new hierarchy of the KP equations. Zbl 0638.35078
Cheng, Yi.; Li, Yishen
3
1987
Symmetries and constants of motion of new AKNS hierarchies. Zbl 0633.35078
Cheng, Yi; Li, Yishen
3
1987
On discrete Ablowitz-Ladik eigenvalue problem. Zbl 0595.34023
Cheng, Yi
2
1986
all top 5

Cited by 736 Authors

88 He, Jingsong
54 Li, Chuanzhong
39 Cheng, Yi
33 Cheng, Jipeng
27 Tian, Shoufu
19 Geng, Xianguo
18 Mihalache, Dumitru
15 Rao, Jiguang
15 Zhang, Yongshuai
14 Chen, Yong
13 Ma, Wen-Xiu
13 Zhang, Zhao
12 Zhang, Yi
11 Li, Biao
11 Qiu, Deqin
11 Strampp, Walter
10 Fan, Engui
10 Li, Maohua
10 Xue, Kang
10 Yu, Jing
10 Zeng, Yunbo
10 Zhao, Qiulan
9 Aratyn, Henrik
9 Chen, Huizhan
9 Li, Xinyue
9 Tian, Kelei
9 Xia, Tie-Cheng
9 Yao, Yuqin
9 Zhang, Dajun
8 Cao, Yulei
8 Chen, Dengyuan
8 Geng, Lumin
8 Yang, Jinjie
8 Ye, Rusuo
8 Zhang, Ling
8 Zuo, Dafeng
7 Guo, Lijuan
7 Han, Jingwei
7 Lou, Senyue
7 Peng, Weiqi
7 Tian, Bo
7 Tu, Minghsien
7 Wang, Lihong
7 Wang, Xiubin
7 Wazwaz, Abdul-Majid Abdul-Rahman
7 Xu, Shuwei
7 Xu, Tao
7 Zhai, Yunyun
7 Zhang, Tiantian
6 Chen, Junchao
6 Feng, Baofeng
6 Ge, Molin
6 Hu, Beibei
6 Huang, Yehui
6 Li, Zhiqiang
6 Lin, Runliang
6 Liu, Wei
6 Oevel, Walter
6 Qin, Zhenyun
6 Wang, Lei
5 Guo, Qi
5 Guo, Rui
5 Li, Na
5 Lou, Yu
5 Zhang, Haiqiang
5 Zhang, Youjin
5 Zhu, Junyi
4 Ablowitz, Mark Jay
4 Dong, Huanhe
4 Hao, Huiqin
4 Hao, Xiazhi
4 He, Lingchao
4 Hu, Taotao
4 Ling, Liming
4 Loris, Ignace
4 Musslimani, Ziad H.
4 Porsezian, Kuppusamy
4 Qian, Chao
4 Sun, Chunfang
4 Wang, Gangcheng
4 Wang, Peng
4 Wang, Xin
4 Willox, Ralph
4 Xu, Jian
4 Xue, Bo
4 Yang, Bo
4 Yang, Xiangyu
4 Yao, Ruoxia
4 Zhang, Xiaofan
4 Zhao, Zhonglong
4 Zhu, Xiaoming
3 Cao, Cewen
3 Chen, Shouting
3 Crampé, Nicolas
3 De Sole, Alberto
3 Finch, Peter E.
3 Gao, Yitian
3 Gomes, Jose Francisco
3 Guo, Weici
3 He, Guoliang
...and 636 more Authors
all top 5

Cited in 102 Serials

72 Journal of Mathematical Physics
41 Communications in Nonlinear Science and Numerical Simulation
37 Nonlinear Dynamics
36 Applied Mathematics Letters
33 Physics Letters. A
31 Journal of Nonlinear Mathematical Physics
26 Theoretical and Mathematical Physics
26 Physica D
24 Communications in Theoretical Physics
18 Journal of Geometry and Physics
17 Wave Motion
15 Chaos, Solitons and Fractals
13 Letters in Mathematical Physics
13 Mathematical Methods in the Applied Sciences
12 Nuclear Physics. B
11 Journal of Mathematical Analysis and Applications
11 Advances in Mathematical Physics
10 International Journal of Geometric Methods in Modern Physics
9 Communications in Mathematical Physics
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Quantum Information Processing
9 Journal of Physics A: Mathematical and Theoretical
8 Reports on Mathematical Physics
8 Studies in Applied Mathematics
6 International Journal of Modern Physics B
6 Chinese Annals of Mathematics. Series B
5 Computers & Mathematics with Applications
5 Physics Letters. B
5 Applied Mathematics and Computation
5 Mathematical Physics, Analysis and Geometry
5 Acta Mathematica Sinica. English Series
5 Analysis and Mathematical Physics
4 Mathematics and Computers in Simulation
4 Annals of Physics
4 Journal of High Energy Physics
4 Advances in Difference Equations
4 Science China. Mathematics
4 East Asian Journal on Applied Mathematics
3 Modern Physics Letters A
3 Modern Physics Letters B
3 Science in China. Series A
3 International Journal of Computer Mathematics
3 Complexity
3 Chaos
3 Qualitative Theory of Dynamical Systems
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 International Journal of Modern Physics A
2 International Journal of Theoretical Physics
2 Nonlinearity
2 Reviews in Mathematical Physics
2 Acta Applicandae Mathematicae
2 International Journal of Mathematics
2 Abstract and Applied Analysis
2 Nonlinear Analysis. Real World Applications
2 Acta Mathematica Scientia. Series B. (English Edition)
2 International Journal of Quantum Information
2 Boundary Value Problems
2 Waves in Random and Complex Media
2 Frontiers of Mathematics in China
2 Journal of Applied Analysis and Computation
2 Journal of Function Spaces
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 AIMS Mathematics
1 Applicable Analysis
1 Journal of Statistical Physics
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Meccanica
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Results in Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series A
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Knot Theory and its Ramifications
1 Journal of Nonlinear Science
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Fractals
1 Filomat
1 Annales Henri Poincaré
1 Journal of Applied Mathematics
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Entropy
1 Journal of Applied Mathematics and Computing
1 Analysis and Applications (Singapore)
1 Journal of Statistical Mechanics: Theory and Experiment
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Chinese Journal of Physics (Taipei)
1 Mathematical Modelling of Natural Phenomena
1 Japanese Journal of Mathematics. 3rd Series
1 Advances in Applied Mathematics and Mechanics
1 Symmetry
...and 2 more Serials

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