# zbMATH — the first resource for mathematics

## Zhang, Yufeng

Compute Distance To:
 Author ID: zhang.yu-feng Published as: Zhang, Y.; Zhang, Y. F.; Zhang, Yu Feng; Zhang, Yu-Feng; Zhang, Yu-feng; Zhang, Yu.; Zhang, Yufeng External Links: ResearchGate
 Documents Indexed: 225 Publications since 1996
all top 5

#### Co-Authors

 14 single-authored 35 Tam, Honwah 24 Guo, Fukui 18 Yan, Qingyou 16 Zhang, Hongqing 11 Fan, Engui 10 Rui, Wenjuan 8 Dong, Huanhe 8 Feng, Binlu 7 Gong, Xinbo 7 Liu, Wenhao 7 Mei, Jianqin 7 Zhang, Xiangzhi 7 Zhao, Zhonglong 6 Shi, Dandan 5 Guo, Xiurong 5 Hon, Yiu-Chung 5 Ma, Wen-Xiu 5 Xu, Xixiang 4 Han, Zhong 4 Zhao, Xiqiang 3 Muhammad, Iqbal 3 Wei, Xiaopeng 3 Wu, Lixin 3 Xu, Xiuli 3 Zhao, Jing 2 Chang, Hui 2 Chao, Yue 2 Liu, Jiangen 2 Qiao, Zhijun 2 Song, Ming 2 Wang, Conghua 2 Wang, Guangming 2 Wang, Yan 2 Wei, Yuan 2 Xia, Tie-Cheng 2 Yan, Kai 2 Yan, Wang 2 Yu, Zhang 2 Yuan, Wei 1 Bai, Yang 1 Chen, Dengyuan 1 Chen, Tingting 1 Chen, Xiaohong 1 Dai, Meili 1 Dong, Huang-He 1 Gao, Jing 1 Guan, Hongyang 1 Guang, Hongyang 1 Honwah, Tam 1 Jiang, Wei 1 Jiang, Wei 1 Jiang, Yi 1 Kong, Lingchen 1 Li, Bacui 1 Li, Minghai 1 Li, Yan 1 Liang, Aiwu 1 Liu, Jing 1 Nian, Sihong 1 Sha, Yuying 1 Tian, Shoufu 1 Wang, Kai 1 Wang, Kai 1 Wang, Yan 1 Wu, Pinxia 1 Xu, Yuecai 1 Yang, Fan 1 Yang, Gengwen 1 Yang, Jinyun 1 Yang, Xiao-Jun 1 Yao, Yuqin 1 Yin, Qiqi 1 Yue, Chao 1 Yue, Rong 1 Zhang, Ju-zhong 1 Zhang, Xuping 1 Zhang, Yongqing 1 Zhang, Yu 1 Zhao, Jing 1 Zhao, Peiyi 1 Zhong, Kai 1 Zhou, Qi-xun 1 Zhu, Song
all top 5

#### Serials

 44 Chaos, Solitons and Fractals 25 Communications in Theoretical Physics 15 Physics Letters. A 9 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Mathematical Physics 7 Modern Physics Letters B 6 Applied Mathematics and Computation 6 Journal of Luoyang University 6 Abstract and Applied Analysis 5 International Journal of Modern Physics B 4 Acta Physica Sinica 3 International Journal of Theoretical Physics 3 Journal of Mathematical Research & Exposition 3 Applied Mathematics and Mechanics. (English Edition) 3 Annals of Differential Equations 3 Journal of Gansu University of Technology 3 Acta Mathematica Sinica. Chinese Series 3 Discontinuity, Nonlinearity, and Complexity 2 Computers & Mathematics with Applications 2 Mathematical Methods in the Applied Sciences 2 Reports on Mathematical Physics 2 Acta Mathematica Sinica 2 Journal of Engineering Mathematics (Xi’an) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 Journal of Dalian University of Technology 2 Applied Mathematics. Series A (Chinese Edition) 2 Far East Journal of Dynamical Systems 2 Journal of Jilin University. Science Edition 2 Advances in Difference Equations 2 Journal of Lanzhou University of Technology 2 Advances in Mathematical Physics 2 Chinese Journal of Engineering Mathematics 2 Symmetry 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 Journal of Differential Equations 1 Chinese Annals of Mathematics. Series B 1 Journal of Northeast Normal University. Natural Science Edition 1 Journal of Physics A: Mathematical and General 1 Journal of Nanjing University of Aeronautics and Astronautics 1 Fractals 1 Transactions of Nanjing University of Aeronautics & Astronautics 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Far East Journal of Applied Mathematics 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Boundary Value Problems 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 Journal of Applied Nonlinear Dynamics
all top 5

#### Fields

 176 Dynamical systems and ergodic theory (37-XX) 103 Partial differential equations (35-XX) 45 Nonassociative rings and algebras (17-XX) 11 Quantum theory (81-XX) 10 Topological groups, Lie groups (22-XX) 7 Mechanics of particles and systems (70-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

137 Publications have been cited 1,125 times in 380 Documents Cited by Year
Semi-direct sums of Lie algebras and continuous integrable couplings. Zbl 1234.37049
Ma, Wen-Xiu; Xu, Xixiang; Zhang, Yufeng
2006
Semidirect sums of Lie algebras and discrete integrable couplings. Zbl 1111.37059
Ma, Wen-Xiu; Xu, Xi-Xiang; Zhang, Yufeng
2006
The quadratic-form identity for constructing the Hamiltonian structure of integrable systems. Zbl 1077.37045
Guo, Fukui; Zhang, Yufeng
2005
A direct method for integrable couplings of TD hierarchy. Zbl 1052.37055
Zhang, Yufeng; Zhang, Hongqing
2002
A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling. Zbl 1063.37068
Guo, Fukui; Zhang, Yufeng
2003
A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure. Zbl 1027.37042
Zhang, Yufeng
2003
A generalized multi-component Glachette-Johnson (GJ) hierarchy and its integrable coupling system. Zbl 1048.37063
Zhang, Yufeng
2004
A simple method for generating integrable hierarchies with multi-potential functions. Zbl 1092.37044
Fan, Engui; Zhang, Yufeng
2005
A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system. Zbl 1057.37059
Guo, Fukui; Zhang, Yufeng
2004
On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water. Zbl 1321.35190
Tian, Shoufu; Zhang, Yufeng; Feng, Binlu; Zhang, Hongqing
2015
The integrable coupling of the AKNS hierarchy and its Hamiltonian structure. Zbl 1134.37030
Guo, Fukui; Zhang, Yufeng
2007
A higher-dimensional Lie algebra and its decomposed subalgebras. Zbl 1234.17020
Zhang, Yufeng; Yan, Wang
2006
Integrable couplings of Botie-Pempinelli-Tu (BPT) hierarchy. Zbl 0996.37073
Zhang, Yufeng; Zhang, Hongqing; Yan, Qingyou
2002
A family of expanding integrable models of the AKNS hierarchy of equations. Zbl 1202.37084
Guo, Fu Kui; Zhang, Yu Feng
2002
Lie algebras for constructing nonlinear integrable couplings. Zbl 1247.37074
Zhang, Yu-Feng
2011
Two unified formulae. Zbl 1203.37105
Guo, Fukui; Zhang, Yufeng
2007
Hamiltonian structure of the integrable coupling of the Jaulent-Miodek hierarchy. Zbl 1195.37044
Zhang, Yufeng; Fan, Engui
2006
A hierarchy of Lax integrable lattice equations, Liouville integrability and a new integrable symplectic map. Zbl 1167.37354
Xu, Xi-Xiang; Zhang, Yu-Feng
2004
Three kinds of coupling integrable couplings of the Korteweg-de Vries hierarchy of evolution equations. Zbl 1310.37039
Zhang, Yufeng; Tam, Honwah
2010
Induced Lie algebras of a six-dimensional matrix Lie algebra. Zbl 1392.17029
Zhang, Yu-Feng; Liu, Jing
2008
Two pairs of Lie algebras and the integrable couplings as well as the Hamiltonian structure of the Yang hierarchy. Zbl 1130.37035
Zhang, Yufeng; Guo, Fukui
2007
A (2 + 1)-dimensional integrable hierarchy and its extending integrable model. Zbl 1082.37066
Zhang, Yufeng; Guo, Xiurong
2006
An integrable system and associated integrable models as well as Hamiltonian structures. Zbl 1297.37034
Tam, Hon-Wah; Zhang, Yufeng
2012
An approach for generating enlarging integrable systems. Zbl 1203.37114
Zhang, Yufeng; Fan, Engui
2007
Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations. Zbl 1236.37041
Zhang, Yufeng; Fan, Engui; Zhang, Yongqing
2006
A few expanding Lie algebras of the Lie algebra $$A_1$$ and applications. Zbl 1193.17015
Zhang, Yufeng; Fan, Engui; Tam, Honwah
2006
A multi-component matrix loop algebra and a unified expression of the multi-component AKNS hierarchy and the multi-component BPT hierarchy. Zbl 1222.37072
Zhang, Yufeng
2005
Resonant soliton and complexiton solutions for $$(3+1)$$-dimensional Boiti-Leon-Manna-Pempinelli equation. Zbl 1420.35321
Liu, Jiangen; Zhang, Yufeng; Muhammad, Iqbal
2018
Four Lie algebras associated with $$\mathbb{R}^6$$ and their applications. Zbl 1309.37066
Zhang, Yufeng; Tam, Honwah
2010
Expansion of the Lie algebra and its applications. Zbl 1085.37051
Guo, Fukui; Zhang, Yufeng
2006
Integrable couplings of the hierarchies of evolution equations. Zbl 1098.37062
Zhang, Yufeng; Yan, Qingyou
2003
Some evolution hierarchies derived from self-dual Yang-Mills equations. Zbl 1247.37075
Zhang, Yu-Feng; Hon, Y. C.
2011
A few Lie algebras and their applications for generating integrable hierarchies of evolution types. Zbl 1220.37064
Zhang, Yufeng; Feng, Binlu
2011
Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti-Pempinelli-Tu hierarchy. Zbl 1312.35156
Zhang, Yufeng; Fan, Engui
2010
Characteristic numbers of matrix Lie algebras. Zbl 1392.17028
Zhang, Yu-Feng; Fan, En-Gui
2008
A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling. Zbl 1138.17312
Zhang, Yufeng; Guo, Xiurong; Tam, Honwah
2006
Vector loop algebra and its applications to integrable system. Zbl 1106.37045
Fan, Engui; Zhang, Yufeng
2006
The multi-component KdV hierarchy and its multi-component integrable coupling system. Zbl 1071.37050
Zhang, Yufeng; Tam, Hon-Wah
2005
New integrable couplings and Hamiltonian structure of the KN hierarchy and the DLW hierarchy. Zbl 1131.37303
Zhang, Yufeng; Tam, Honwah
2008
New simple method for obtaining integrable hierarchies of soliton equations with multicomponent potential functions. Zbl 1062.37069
Guo, Fukui; Zhang, Yufeng; Yan, Qingyou
2004
Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. Zbl 1326.35054
Yan, Kai; Qiao, Zhijun; Zhang, Yufeng
2015
Two $$(2+1)$$-dimensional hierarchies of evolution equations and their Hamiltonian structures. Zbl 1335.37050
Zhang, Yufeng; Gao, Jing; Wang, Guangming
2014
Discussion on integrable properties for higher-dimensional variable-coefficient nonlinear partial differential equations. Zbl 1298.37063
Zhang, Yufeng; Tam, Honwah
2013
A few new higher-dimensional Lie algebras and two types of coupling integrable couplings of the AKNS hierarchy and the KN hierarchy. Zbl 1221.37143
Zhang, Yu-Feng; Tam, Honwah
2011
A few subalgebras of the Lie algebra $$A_{3}$$ and a direct approach for obtaining integrable couplings. Zbl 1138.37332
Zhang, Yufeng; Tam, Honwah
2007
A subalgebra of a Lie algebra and the associated two types of loop algebras. Zbl 1116.37044
Zhang, Yufeng
2005
A new algebraic system and its applications. Zbl 1075.37027
Tam, Honwah; Zhang, Yufeng
2005
A generalized multi-component AKNS hierarchy. Zbl 1138.35384
Zhang, Yufeng
2004
A corresponding Lie algebra of a reductive homogeneous group and its applications. Zbl 1314.37053
Zhang, Yufeng; Wu, Lixin; Rui, Wenjuan
2015
A few super-integrable hierarchies and some reductions, super-Hamiltonian structures. Zbl 1315.37047
Zhang, Yufeng; Rui, Wenjuan
2015
A few integrable systems and spatial spectral transformations. Zbl 1221.37144
Zhang, Yufeng; Tam, Honwah
2009
A type of loop algebra and the associated loop algebras. Zbl 1153.37429
Tam, Honwah; Zhang, Yufeng
2008
Reduced equations of the self-dual Yang-Mills equations and applications. Zbl 1350.37075
Zhang, Yufeng; Tam, Honwah; Jiang, Wei
2008
Hamiltonian structures of two integrable couplings of the modified AKNS hierarchy. Zbl 1141.37027
Zhang, Yufeng; Hon, Y. C.
2007
On integrable couplings of the dispersive long wave hierarchy and their Hamiltonian structure. Zbl 1115.37060
Zhang, Yufeng
2007
An approach for constructing loop algebra via exterior algebra and its applications. Zbl 1088.37037
Tam, Hon-wah; Zhang, Yu-feng
2005
A new loop algebra and its subalgebras. Zbl 1055.37068
Guo, Fukui; Zhang, Yufeng
2004
An integrable Hamiltonian hierarchy and its constrained flows with generalized Hamiltonian regular representations, as well as its expanding integrable system. Zbl 1069.37054
Zhang, Yufeng
2003
Two types of new Lie algebras and corresponding hierarchies of evolution equations. Zbl 1011.17018
Zhang, Yufeng
2003
Symmetry properties and explicit solutions of some nonlinear differential and fractional equations. Zbl 1427.35249
Zhang, Yufeng; Mei, Jianqin; Zhang, Xiangzhi
2018
A few continuous and discrete dynamical systems. Zbl 1351.37254
Zhang, Yufeng; Rui, Wenjuan
2016
A few integrable couplings of some integrable systems and ($$2 + 1$$)-dimensional integrable hierarchies. Zbl 07023340
Feng, Binlu; Zhang, Yufeng; Dong, Huanhe
2014
An integrable hierarchy and Darboux transformations, bilinear Bäcklund transformations of a reduced equation. Zbl 1338.37098
Zhang, Yufeng; Han, Zhong; Tam, Hon-Wah
2013
Lie algebraic approach to nonlinear integrable couplings of evolution type. Zbl 1417.37249
Zhang, Yufeng; Ma, Wen-Xiu
2012
A generalized Zakharov-Shabat equation with finite-band solutions and a soliton-equation hierarchy with an arbitrary parameter. Zbl 1291.35325
Zhang, Yufeng; Tam, Honwah; Feng, Binlu
2011
A type of new loop algebra and a generalized Tu formula. Zbl 1175.81126
Guo, Fu-Kui; Zhang, Yu-Feng
2009
Invertible linear transformations and the Lie algebras. Zbl 1221.37147
Zhang, Yufeng; Tam, Honwah; Guo, Fukui
2008
The computational formula on the constant $$\gamma$$ appeared in the equivalently used trace identity and quadratic-form identity. Zbl 1146.37353
Guo, Fukui; Zhang, Yufeng
2008
A type of expanding integrable system for the NLS-mKdV hierarchy. Zbl 1202.37094
Zhang, Yu Feng; Yan, Qing You
2003
A new integrable hierarchy and its expansive integrable model. Zbl 1043.37050
Zhang, Yufeng; Yan, Qingyou
2003
Generation of nonlinear evolution equations by reductions of the self-dual Yang-Mills equations. Zbl 1284.53029
Zhang, Yu-Feng; Tam, Hon-Wah
2014
A complex higher-dimensional Lie algebra with real and imaginary structure constants as well as its decomposition. Zbl 1392.17027
Zhang, Yu-Feng
2008
The generalized nonlinear Schrödinger hierarchy, its integrable coupling system and their bi-Hamiltonian structure. Zbl 1220.37051
Chang, Hui; Zhang, Yufeng; Song, Ming
2008
Subalgebras of the Lie algebra $$R^6$$ and their applications. Zbl 1186.37084
Zhang, Yufeng; Fan, Engui
2007
Application of two loop algebras. Zbl 1138.37333
Zhang, Yufeng; Tam, Honwah
2007
A type of soliton hierarchy and its multi-Hamiltonian structures. Zbl 1387.35517
Guo, Fukui; Zhang, Yufeng
2004
A new subalgebra of the Lie algebra $$A_{2}$$ and two types of integrable Hamiltonian hierarchies, expanding integrable models. Zbl 1048.37062
Yan, Qingyou; Zhang, Yufeng; Wei, Xiaopeng
2004
An integrable coupling of the generalized AKNS hierarchy. Zbl 1010.37043
Zhang, Yufeng; Yan, Qingyou
2002
Diversity of exact solutions to the conformable space-time fractional MEW equation. Zbl 1423.35413
Shi, Dandan; Zhang, Yufeng
2020
Some exact solutions and conservation laws of the coupled time-fractional Boussinesq-Burgers system. Zbl 1423.35414
Shi, Dandan; Zhang, Yufeng; Liu, Wenhao; Liu, Jiangen
2019
Multiple rogue wave solutions for a (3+1)-dimensional Hirota bilinear equation. Zbl 1426.35085
Liu, Wenhao; Zhang, Yufeng
2019
Multiple rogue wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1431.35134
Liu, Wenhao; Zhang, Yufeng
2019
On a new two-component $$b$$-family peakon system with cubic nonlinearity. Zbl 1421.35210
Yan, Kai; Qiao, Zhijun; Zhang, Yufeng
2018
Two kinds of discrete integrable hierarchies of evolution equations and some algebraic-geometric solutions. Zbl 1422.37049
Zhang, Yufeng; Zhang, Xiangzhi
2017
Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system. Zbl 1374.76191
Zhang, Yufeng; Zhao, Zhonglong
2017
Upon generating $$(2+1)$$-dimensional dynamical systems. Zbl 1343.37071
Zhang, Yufeng; Bai, Yang; Wu, Lixin
2016
On generating discrete integrable systems via Lie algebras and commutator equations. Zbl 1335.37049
Zhang, Yu-Feng; Tam, Honwah
2016
Robustness analysis for parameter matrices of global exponential stable stochastic time varying delay systems. Zbl 1344.93108
Zhu, Song; Zhong, Kai; Zhang, Yufeng
2014
On generating linear and nonlinear integrable systems with variable coefficients. Zbl 1335.37051
Zhang, Yufeng; Zhao, Zhonglong; Wang, Guangming
2014
An $$2+1$$-dimensional expanding model of the Davey-Stewartson hierarchy as well as its Hamiltonian structure. Zbl 1316.37039
Zhang, Yufeng; Rui, Wenjuan; Tam, Hon-Wah
2014
Double reduction and exact solutions of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity via conservation laws. Zbl 1278.35156
Han, Zhong; Zhang, Yu-Feng; Zhao, Zhong-Long
2013
Lie algebras and integrable systems. Zbl 1247.37076
Zhang, Yu-Feng; Mei, Jian-Qin
2012
Coupling commutator pairs and integrable systems. Zbl 1197.37086
Zhang, Yufeng; Tam, Honwah
2009
Spectral radius analysis of matrices and the associated with integrable systems. Zbl 1242.37049
Tam, Honwah; Zhang, Yufeng
2009
Applications of the Lie algebra $$gl(2)$$. Zbl 1167.37356
Zhang, Yufeng; Tam, Honwah
2009
Explicit and exact travelling wave solutions for Konopelchenko-Dubrovsky equation. Zbl 1152.35475
Li, Bacui; Zhang, Yufeng
2008
An extended trace identity and applications. Zbl 1172.70009
Guo, Fukui; Zhang, Yufeng
2008
Lie algebras associated with group $$\mathrm{U}(n)$$. Zbl 1267.22011
Zhang, Yu-Feng; Dong, Huang-He; Honwah, Tam
2007
A type of new loop algebra and a multi-component integrable hierarchy. Zbl 1076.37060
Zhang, Yufeng; Guo, Xiurong
2004
Applications of an anti-symmetry loop algebra and its expanding forms. Zbl 1048.37065
Zhang, Yufeng; Yan, Qingyou
2004
Diversity of exact solutions to the conformable space-time fractional MEW equation. Zbl 1423.35413
Shi, Dandan; Zhang, Yufeng
2020
Coexistence of bistable multi-pulse chaotic motions with large amplitude vibrations in buckled sandwich plate under transverse and in-plane excitations. Zbl 1437.74008
Zhang, W.; Wu, Q. L.; Zhang, Y. F.; Zheng, Y.
2020
Analysis on the $$M$$-rogue wave solutions of a generalized $$(3+1)$$-dimensional KP equation. Zbl 1440.35033
Zhang, Hong-Yi; Zhang, Yu-Feng
2020
Contact analysis of functionally graded materials using smoothed finite element methods. Zbl 07205454
Zhang, Y. F.; Yue, J. H.; Li, M.; Niu, R. P.
2020
A method for generating isospectral and nonisospectral hierarchies of equations as well as symmetries. Zbl 1436.37083
Zhang, Yufeng; Mei, Jianqin; Guan, Hongyang
2020
Some exact solutions and conservation laws of the coupled time-fractional Boussinesq-Burgers system. Zbl 1423.35414
Shi, Dandan; Zhang, Yufeng; Liu, Wenhao; Liu, Jiangen
2019
Multiple rogue wave solutions for a (3+1)-dimensional Hirota bilinear equation. Zbl 1426.35085
Liu, Wenhao; Zhang, Yufeng
2019
Multiple rogue wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1431.35134
Liu, Wenhao; Zhang, Yufeng
2019
Lump waves, solitary waves and interaction phenomena to the $$(2 + 1)$$-dimensional Konopelchenko-Dubrovsky equation. Zbl 1428.35457
Liu, Wenhao; Zhang, Yufeng; Shi, Dandan
2019
Resonant soliton and complexiton solutions for $$(3+1)$$-dimensional Boiti-Leon-Manna-Pempinelli equation. Zbl 1420.35321
Liu, Jiangen; Zhang, Yufeng; Muhammad, Iqbal
2018
Symmetry properties and explicit solutions of some nonlinear differential and fractional equations. Zbl 1427.35249
Zhang, Yufeng; Mei, Jianqin; Zhang, Xiangzhi
2018
On a new two-component $$b$$-family peakon system with cubic nonlinearity. Zbl 1421.35210
Yan, Kai; Qiao, Zhijun; Zhang, Yufeng
2018
Complexiton and resonant multiple wave solutions to the $$(2+1)$$-dimensional Konopelchenko-Dubrovsky equation. Zbl 1428.35471
Wu, Pinxia; Zhang, Yufeng; Muhammad, Iqbal; Yin, Qiqi
2018
Two kinds of discrete integrable hierarchies of evolution equations and some algebraic-geometric solutions. Zbl 1422.37049
Zhang, Yufeng; Zhang, Xiangzhi
2017
Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system. Zbl 1374.76191
Zhang, Yufeng; Zhao, Zhonglong
2017
Infinite conservation laws, continuous symmetries and invariant solutions of some discrete integrable equations. Zbl 1382.37068
Zhang, Yu-Feng; Zhang, Xiang-Zhi; Dong, Huan-He
2017
A few continuous and discrete dynamical systems. Zbl 1351.37254
Zhang, Yufeng; Rui, Wenjuan
2016
Upon generating $$(2+1)$$-dimensional dynamical systems. Zbl 1343.37071
Zhang, Yufeng; Bai, Yang; Wu, Lixin
2016
On generating discrete integrable systems via Lie algebras and commutator equations. Zbl 1335.37049
Zhang, Yu-Feng; Tam, Honwah
2016
Generation of discrete integrable systems and some algebro-geometric properties of related discrete lattice equations. Zbl 1386.35317
Zhang, Yufeng; Yang, Xiao-Jun
2016
On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water. Zbl 1321.35190
Tian, Shoufu; Zhang, Yufeng; Feng, Binlu; Zhang, Hongqing
2015
Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. Zbl 1326.35054
Yan, Kai; Qiao, Zhijun; Zhang, Yufeng
2015
A corresponding Lie algebra of a reductive homogeneous group and its applications. Zbl 1314.37053
Zhang, Yufeng; Wu, Lixin; Rui, Wenjuan
2015
A few super-integrable hierarchies and some reductions, super-Hamiltonian structures. Zbl 1315.37047
Zhang, Yufeng; Rui, Wenjuan
2015
Computational fluid dynamics-discrete element method analysis of the onset of scour around subsea pipelines. Zbl 1443.76093
Zhang, Y.; Zhao, M.; Kwok, K. C. S.; Liu, M. M.
2015
Two (2+1)-dimensional expanding dynamical systems associated to the mKP hierarchy. Zbl 1410.37062
Zhang, Yufeng; Wu, Lixin
2015
Two kinds of new integrable couplings of the negative-order Korteweg-de Vries equation. Zbl 1337.37053
Feng, Binlu; Zhang, Yufeng
2015
Algebro-geometric solutions with characteristics of a nonlinear partial differential equation with three-potential functions. Zbl 1319.37047
Zhang, Yu-Feng; Feng, Bin-Lu; Rui, Wen-Juan; Zhang, Xiang-Zhi
2015
Two $$(2+1)$$-dimensional hierarchies of evolution equations and their Hamiltonian structures. Zbl 1335.37050
Zhang, Yufeng; Gao, Jing; Wang, Guangming
2014
A few integrable couplings of some integrable systems and ($$2 + 1$$)-dimensional integrable hierarchies. Zbl 07023340
Feng, Binlu; Zhang, Yufeng; Dong, Huanhe
2014
Generation of nonlinear evolution equations by reductions of the self-dual Yang-Mills equations. Zbl 1284.53029
Zhang, Yu-Feng; Tam, Hon-Wah
2014
Robustness analysis for parameter matrices of global exponential stable stochastic time varying delay systems. Zbl 1344.93108
Zhu, Song; Zhong, Kai; Zhang, Yufeng
2014
On generating linear and nonlinear integrable systems with variable coefficients. Zbl 1335.37051
Zhang, Yufeng; Zhao, Zhonglong; Wang, Guangming
2014
An $$2+1$$-dimensional expanding model of the Davey-Stewartson hierarchy as well as its Hamiltonian structure. Zbl 1316.37039
Zhang, Yufeng; Rui, Wenjuan; Tam, Hon-Wah
2014
Double periodic wave solutions of the (2 + 1)-dimensional Sawada-Kotera equation. Zbl 07022567
Zhao, Zhonglong; Zhang, Yufeng; Xia, Tiecheng
2014
Bäcklund transformation and solutions of a $$(3+1)$$-dimensional nonlinear evolution equation. Zbl 1338.37104
Zhao, Zhonglong; Zhang, Yufeng; Rui, Wenjuan
2014
Discussion on integrable properties for higher-dimensional variable-coefficient nonlinear partial differential equations. Zbl 1298.37063
Zhang, Yufeng; Tam, Honwah
2013
An integrable hierarchy and Darboux transformations, bilinear Bäcklund transformations of a reduced equation. Zbl 1338.37098
Zhang, Yufeng; Han, Zhong; Tam, Hon-Wah
2013
Double reduction and exact solutions of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity via conservation laws. Zbl 1278.35156
Han, Zhong; Zhang, Yu-Feng; Zhao, Zhong-Long
2013
On integrable properties for two variable-coefficient evolution equations. Zbl 1270.37048
Zhang, Yu-Feng; Han, Zhong; Tam, Honwah
2013
An integrable system and associated integrable models as well as Hamiltonian structures. Zbl 1297.37034
Tam, Hon-Wah; Zhang, Yufeng
2012
Lie algebraic approach to nonlinear integrable couplings of evolution type. Zbl 1417.37249
Zhang, Yufeng; Ma, Wen-Xiu
2012
Lie algebras and integrable systems. Zbl 1247.37076
Zhang, Yu-Feng; Mei, Jian-Qin
2012
A method for generating Lie algebras and applications. Zbl 1326.17018
Zhang, Yufeng
2012
Lie algebras for constructing nonlinear integrable couplings. Zbl 1247.37074
Zhang, Yu-Feng
2011
Some evolution hierarchies derived from self-dual Yang-Mills equations. Zbl 1247.37075
Zhang, Yu-Feng; Hon, Y. C.
2011
A few Lie algebras and their applications for generating integrable hierarchies of evolution types. Zbl 1220.37064
Zhang, Yufeng; Feng, Binlu
2011
A few new higher-dimensional Lie algebras and two types of coupling integrable couplings of the AKNS hierarchy and the KN hierarchy. Zbl 1221.37143
Zhang, Yu-Feng; Tam, Honwah
2011
A generalized Zakharov-Shabat equation with finite-band solutions and a soliton-equation hierarchy with an arbitrary parameter. Zbl 1291.35325
Zhang, Yufeng; Tam, Honwah; Feng, Binlu
2011
Generalized mKdV equation, Liouville equation, sine-Gordon equation and sine-Gordon equation as well as a formal Bäcklund transformation. Zbl 1333.37112
Zhang, Yufeng; Tam, Honwah; Zhao, Jing
2011
A few expanding integrable models, Hamiltonian structures and constrained flows. Zbl 1264.37036
Zhang, Yu-Feng
2011
Double integrable couplings and their constructing method. Zbl 1223.81120
Guo, Fu-Kui; Zhang, Yu-Feng
2011
Three kinds of coupling integrable couplings of the Korteweg-de Vries hierarchy of evolution equations. Zbl 1310.37039
Zhang, Yufeng; Tam, Honwah
2010
Four Lie algebras associated with $$\mathbb{R}^6$$ and their applications. Zbl 1309.37066
Zhang, Yufeng; Tam, Honwah
2010
Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti-Pempinelli-Tu hierarchy. Zbl 1312.35156
Zhang, Yufeng; Fan, Engui
2010
A systematic method for solving differential-difference equations. Zbl 1222.37082
Zhang, Yufeng; Hon, Y. C.; Mei, Jianqin
2010
A few integrable systems and spatial spectral transformations. Zbl 1221.37144
Zhang, Yufeng; Tam, Honwah
2009
A type of new loop algebra and a generalized Tu formula. Zbl 1175.81126
Guo, Fu-Kui; Zhang, Yu-Feng
2009
Coupling commutator pairs and integrable systems. Zbl 1197.37086
Zhang, Yufeng; Tam, Honwah
2009
Spectral radius analysis of matrices and the associated with integrable systems. Zbl 1242.37049
Tam, Honwah; Zhang, Yufeng
2009
Applications of the Lie algebra $$gl(2)$$. Zbl 1167.37356
Zhang, Yufeng; Tam, Honwah
2009
A new Lie algebra and soliton solutions, Bäcklund transformation of soliton equations. Zbl 1198.37100
Tam, Hon-Wah; Zhang, Yufeng
2009
Two explicit realizations of a Lie algebra. Zbl 1198.37102
Zhang, Yufeng; Tam, Honwah
2009
Induced Lie algebras of a six-dimensional matrix Lie algebra. Zbl 1392.17029
Zhang, Yu-Feng; Liu, Jing
2008
Characteristic numbers of matrix Lie algebras. Zbl 1392.17028
Zhang, Yu-Feng; Fan, En-Gui
2008
New integrable couplings and Hamiltonian structure of the KN hierarchy and the DLW hierarchy. Zbl 1131.37303
Zhang, Yufeng; Tam, Honwah
2008
A type of loop algebra and the associated loop algebras. Zbl 1153.37429
Tam, Honwah; Zhang, Yufeng
2008
Reduced equations of the self-dual Yang-Mills equations and applications. Zbl 1350.37075
Zhang, Yufeng; Tam, Honwah; Jiang, Wei
2008
Invertible linear transformations and the Lie algebras. Zbl 1221.37147
Zhang, Yufeng; Tam, Honwah; Guo, Fukui
2008
The computational formula on the constant $$\gamma$$ appeared in the equivalently used trace identity and quadratic-form identity. Zbl 1146.37353
Guo, Fukui; Zhang, Yufeng
2008
A complex higher-dimensional Lie algebra with real and imaginary structure constants as well as its decomposition. Zbl 1392.17027
Zhang, Yu-Feng
2008
The generalized nonlinear Schrödinger hierarchy, its integrable coupling system and their bi-Hamiltonian structure. Zbl 1220.37051
Chang, Hui; Zhang, Yufeng; Song, Ming
2008
Explicit and exact travelling wave solutions for Konopelchenko-Dubrovsky equation. Zbl 1152.35475
Li, Bacui; Zhang, Yufeng
2008
An extended trace identity and applications. Zbl 1172.70009
Guo, Fukui; Zhang, Yufeng
2008
Integrable couplings and Hamiltonian structure of AKNS-KN soliton-equation hierarchy. Zbl 1174.35100
Zhang, Yufeng; Guo, Fukui
2008
A hierarchy of soliton equations associated with a higher-dimensional loop algebra and its tri-Hamiltonian structure. Zbl 1154.37368
Zhang, Yufeng; Li, Yan
2008
An extended integrable model of the KdV hierarchy and the resulting Hamiltonian structure. Zbl 1153.37424
Zhang, Yu-Feng; Xu, Xi-Xiang
2008
The integrable coupling of the AKNS hierarchy and its Hamiltonian structure. Zbl 1134.37030
Guo, Fukui; Zhang, Yufeng
2007
Two unified formulae. Zbl 1203.37105
Guo, Fukui; Zhang, Yufeng
2007
Two pairs of Lie algebras and the integrable couplings as well as the Hamiltonian structure of the Yang hierarchy. Zbl 1130.37035
Zhang, Yufeng; Guo, Fukui
2007
An approach for generating enlarging integrable systems. Zbl 1203.37114
Zhang, Yufeng; Fan, Engui
2007
A few subalgebras of the Lie algebra $$A_{3}$$ and a direct approach for obtaining integrable couplings. Zbl 1138.37332
Zhang, Yufeng; Tam, Honwah
2007
Hamiltonian structures of two integrable couplings of the modified AKNS hierarchy. Zbl 1141.37027
Zhang, Yufeng; Hon, Y. C.
2007
On integrable couplings of the dispersive long wave hierarchy and their Hamiltonian structure. Zbl 1115.37060
Zhang, Yufeng
2007
Subalgebras of the Lie algebra $$R^6$$ and their applications. Zbl 1186.37084
Zhang, Yufeng; Fan, Engui
2007
Application of two loop algebras. Zbl 1138.37333
Zhang, Yufeng; Tam, Honwah
2007
Lie algebras associated with group $$\mathrm{U}(n)$$. Zbl 1267.22011
Zhang, Yu-Feng; Dong, Huang-He; Honwah, Tam
2007
A multi-component matrix loop algebra and the multi-component Kaup-Newell (KN) hierarchy, as well as its integrable coupling system. Zbl 1140.37360
Yuan, Wei; Zhang, Yufeng; Chao, Yue
2007
Semi-direct sums of Lie algebras and continuous integrable couplings. Zbl 1234.37049
Ma, Wen-Xiu; Xu, Xixiang; Zhang, Yufeng
2006
Semidirect sums of Lie algebras and discrete integrable couplings. Zbl 1111.37059
Ma, Wen-Xiu; Xu, Xi-Xiang; Zhang, Yufeng
2006
A higher-dimensional Lie algebra and its decomposed subalgebras. Zbl 1234.17020
Zhang, Yufeng; Yan, Wang
2006
Hamiltonian structure of the integrable coupling of the Jaulent-Miodek hierarchy. Zbl 1195.37044
Zhang, Yufeng; Fan, Engui
2006
A (2 + 1)-dimensional integrable hierarchy and its extending integrable model. Zbl 1082.37066
Zhang, Yufeng; Guo, Xiurong
2006
Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations. Zbl 1236.37041
Zhang, Yufeng; Fan, Engui; Zhang, Yongqing
2006
A few expanding Lie algebras of the Lie algebra $$A_1$$ and applications. Zbl 1193.17015
Zhang, Yufeng; Fan, Engui; Tam, Honwah
2006
Expansion of the Lie algebra and its applications. Zbl 1085.37051
Guo, Fukui; Zhang, Yufeng
2006
A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling. Zbl 1138.17312
Zhang, Yufeng; Guo, Xiurong; Tam, Honwah
2006
Vector loop algebra and its applications to integrable system. Zbl 1106.37045
Fan, Engui; Zhang, Yufeng
2006
An unified form of the AKNS and BPT hierarchies with two arbitrary parameters. Zbl 1236.37037
Fan, Engui; Tam, Honwah; Zhang, Yufeng
2006
The quadratic-form identity for constructing the Hamiltonian structure of integrable systems. Zbl 1077.37045
Guo, Fukui; Zhang, Yufeng
2005
...and 37 more Documents
all top 5

#### Cited by 369 Authors

 70 Zhang, Yufeng 48 Dong, Huanhe 37 Ma, Wen-Xiu 26 Yu, Fajun 24 Xia, Tie-Cheng 20 Tam, Honwah 20 Xu, Xixiang 14 Fan, Engui 13 Tian, Shoufu 12 Li, Zhu 11 Chen, Dengyuan 11 Li, Xinyue 11 Yang, Hongwei 11 Zhao, Qiulan 10 Shen, Shoufeng 10 Zhang, Tiantian 9 Guo, Fukui 9 Yin, Baoshu 8 He, Baiying 8 Sun, Yepeng 8 Yao, Yuqin 7 Guo, Xiurong 7 Li, Li 7 Li, Yuxia 7 Yang, Hongxiang 6 Chen, Liangyun 6 Feng, Binlu 6 Ji, Jie 6 Wang, Hui 6 Zhang, Hongqing 5 Jin, Yongyang 5 Li, Yuqing 5 Liu, Jiangen 5 Wang, Xinzeng 5 Wang, Xiubin 5 Yan, Qingyou 5 You, Fucai 4 Chang, Hui 4 Ding, Haiyong 4 Dong, Min-Jie 4 Li, Chunxia 4 Luo, Lin 4 Mei, Jianqin 4 Wang, Lei 4 Wang, Xiangrong 4 Wang, Yunhu 4 Wei, Hanyu 4 Yu, Shuimeng 4 Zhang, Xiangzhi 4 Zhao, Zhonglong 3 Fang, Yong 3 Feng, Yiying 3 Geng, Xianguo 3 He, Jingsong 3 Li, Ling 3 Liu, Yuqing 3 McAnally, Morgan 3 Tang, Yaning 3 Wang, Guangming 3 Yan, Xuewei 3 Yang, Xiao-Jun 3 Yue, Chao 3 Zhang, Ning 3 Zhang, Wenying 3 Zhang, Yongqing 3 Zhang, Yujuan 3 Zhaqilao, Z. 3 Zou, Li 2 Cao, Yan 2 Chao, Yue 2 Charoensawan, Phakdi 2 Cui, Yunan 2 Du, Jun 2 Feng, Lianli 2 Gao, Liang 2 Gao, Yitian 2 Guo, Baoyong 2 Han, Jingwei 2 Han, Zhong 2 Hon, Yiu-Chung 2 Ilhan, Onur Alp 2 Jiang, Liya 2 Li, Yan 2 Liu, Jiaqi 2 Liu, Wenhao 2 Manafian Heris, Jalil 2 Muhammad, Iqbal 2 Qiao, Zhijun 2 Qin, Zhenyun 2 Rui, Wenjuan 2 Shi, Dandan 2 Singh, Manjit 2 Song, Ming 2 Tao, Sixing 2 Tu, Guizhang 2 Wang, Yan 2 Wazwaz, Abdul-Majid Abdul-Rahman 2 Wu, Jingzhu 2 Wu, Lixin 2 Xing, Xiuzhi ...and 269 more Authors
all top 5

#### Cited in 70 Serials

 45 Applied Mathematics and Computation 43 Chaos, Solitons and Fractals 37 Communications in Nonlinear Science and Numerical Simulation 28 Modern Physics Letters B 28 Journal of Mathematical Physics 21 International Journal of Modern Physics B 14 Computers & Mathematics with Applications 12 International Journal of Theoretical Physics 11 Abstract and Applied Analysis 11 Advances in Mathematical Physics 7 Journal of Geometry and Physics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Communications in Theoretical Physics 5 Mathematical Methods in the Applied Sciences 5 Physics Letters. A 5 Reports on Mathematical Physics 5 Nonlinear Dynamics 5 Advances in Difference Equations 5 Analysis and Mathematical Physics 4 Applied Mathematics Letters 4 Journal of Shanghai University 4 Discrete Dynamics in Nature and Society 4 International Journal of Applied and Computational Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 2 Journal of Differential Equations 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Journal of Inequalities and Applications 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Waves in Random and Complex Media 2 Frontiers of Mathematics in China 2 Symmetry 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Computers and Fluids 1 Journal of Mathematical Analysis and Applications 1 Wave Motion 1 Reviews in Mathematical Physics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Statistics & Probability Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Science in China. Series A 1 International Journal of Mathematics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Turkish Journal of Mathematics 1 Fractals 1 Complexity 1 Journal of Vibration and Control 1 Mathematical Physics, Analysis and Geometry 1 Chaos 1 European Journal of Mechanics. A. Solids 1 Qualitative Theory of Dynamical Systems 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Boundary Value Problems 1 Journal of Nonlinear Science and Applications 1 East Asian Journal on Applied Mathematics 1 Open Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

#### Cited in 28 Fields

 303 Dynamical systems and ergodic theory (37-XX) 199 Partial differential equations (35-XX) 57 Nonassociative rings and algebras (17-XX) 24 Quantum theory (81-XX) 18 Fluid mechanics (76-XX) 14 Difference and functional equations (39-XX) 13 Mechanics of particles and systems (70-XX) 11 Topological groups, Lie groups (22-XX) 9 Numerical analysis (65-XX) 8 Ordinary differential equations (34-XX) 7 Real functions (26-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-XX) 2 Algebraic geometry (14-XX) 2 Differential geometry (53-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)