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## Dong, Huanhe

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 Author ID: dong.huanhe Published as: Dong, H.; Dong, Huan He; Dong, Huan-He; Dong, Huan-he; Dong, Huanhe
 Documents Indexed: 104 Publications since 1999
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#### Co-Authors

 5 single-authored 18 Li, Zhu 15 Yang, Hongwei 10 Yin, Baoshu 8 Zhang, Yufeng 7 Fang, Yong 6 Zhang, Ning 5 Li, Ling 4 Guo, Baoyong 4 Li, Yuxia 4 Wang, Hui 4 Wang, Xiangrong 4 Wang, Xinzeng 4 Wang, Xuelei 3 Feng, Binlu 3 Kong, Lingchen 3 Tao, Mengshuang 3 Zhang, Xiaoen 2 Gong, Xinbo 2 Han, Bo 2 Hou, Yijun 2 Li, Xinyue 2 Li, Yuqing 2 Meng, Xinzhu 2 Ren, Yanwei 2 Shi, Yunlong 2 Song, Ming 2 Su, Jie 2 Wang, Yunhu 2 Xu, Yuecai 2 Yi, Fangjiao 2 Zhang, Yanfeng 2 Zhang, Yong 2 Zhao, Qiulan 1 Chang, Hui 1 Chen, Tingting 1 Feng, Xing-Ru 1 Gao, Huijian 1 Gu, Jiayue 1 Guo, Fukui 1 He, Baiying 1 Hon, Yiu-Chung 1 Jiang, Xiaowu 1 Kong, Yuan 1 Li, Jianjun 1 Liang, Xiangqian 1 Lin, Yuxin 1 Liu, Bin 1 Liu, Jinyuan 1 Liu, Mingshuo 1 Liu, Yu 1 Liu, Yu 1 Liu, Zhenyu 1 Lü, Guozhi 1 Ma, Wen-Xiu 1 Ma, Zhen-Dong 1 Sun, Shili 1 Tao, Jiyuan 1 Wang, Dengshan 1 Xu, Xiuli 1 Xu, Xixiang 1 Xu, Zhenhua 1 Xue, Jianhai 1 Yan, Qingyou 1 Yang, Dezhou 1 Yang, Jiming 1 Yuan, Wei 1 Zhang, Tongqian 1 Zhang, Xiangzhi 1 Zhang, Yong 1 Zhang, Yong 1 Zhang, Yong 1 Zhang, Yong 1 Zhang, Yong 1 Zhang, Yongfeng 1 Zhang, Yu 1 Zhang, Yujuan 1 Zhao, Kun 1 Zhao, Qingfeng 1 Zhao, Weidong 1 Zhao, Wencai 1 Zhao, Yijun 1 Zhi, Hongyan 1 Zhong, Bo 1 Zhu, Li
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#### Serials

 12 Chaos, Solitons and Fractals 11 Modern Physics Letters B 11 Communications in Theoretical Physics 6 International Journal of Theoretical Physics 6 Communications in Nonlinear Science and Numerical Simulation 5 Applied Mathematics and Computation 4 Computers & Mathematics with Applications 4 Journal of Mathematical Physics 4 Mathematical Problems in Engineering 4 Abstract and Applied Analysis 3 International Journal of Modern Physics B 3 Annals of Differential Equations 3 Journal of Luoyang University 2 Journal of Geometry and Physics 2 Complexity 2 Discrete Dynamics in Nature and Society 2 Far East Journal of Dynamical Systems 2 Advances in Difference Equations 2 Advances in Mathematical Physics 2 Analysis and Mathematical Physics 1 Quaestiones Mathematicae 1 Journal of Partial Differential Equations 1 Numerical Mathematics 1 Positivity 1 Far East Journal of Applied Mathematics 1 Journal of Mathematical Study 1 Journal of Applied Mathematics 1 Yantai Normal University Journal. Natural Science Edition 1 Acta Mathematica Sinica. Chinese Series 1 Journal of Nonlinear Science and Applications 1 Chinese Journal of Engineering Mathematics 1 East Asian Journal on Applied Mathematics
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#### Fields

 72 Dynamical systems and ergodic theory (37-XX) 54 Partial differential equations (35-XX) 13 Nonassociative rings and algebras (17-XX) 8 Fluid mechanics (76-XX) 6 Quantum theory (81-XX) 5 Ordinary differential equations (34-XX) 4 Topological groups, Lie groups (22-XX) 3 Geophysics (86-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

61 Publications have been cited 381 times in 210 Documents Cited by Year
Rational solutions and lump solutions to the generalized $$(3+1)$$-dimensional shallow water-like equation. Zbl 1368.35240
Zhang, Yong; Dong, Huanhe; Zhang, Xiaoen; Yang, Hongwei
2017
Generalized fractional supertrace identity for Hamiltonian structure of NLS-MKdV hierarchy with self-consistent sources. Zbl 1339.37051
Dong, Huan He; Guo, Bao Yong; Yin, Bao Shu
2016
Generalised (2+1)-dimensional super mKdV hierarchy for integrable systems in soliton theory. Zbl 06797000
Dong, Huanhe; Zhao, Kun; Yang, Hongwei; Li, Yuqing
2015
ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect. Zbl 1419.35180
Yang, Hong Wei; Xu, Zhen Hua; Yang, De Zhou; Feng, Xing Ru; Yin, Bao Shu; Dong, Huan He
2016
Binary Bargmann symmetry constraint associated with $$3\times 3$$ discrete matrix spectral problem. Zbl 1327.35335
Li, Xin-Yue; Zhao, Qiu-Lan; Li, Yu-Xia; Dong, Huan-He
2015
Algebro-geometric solutions for a discrete integrable equation. Zbl 1397.37080
Tao, Mengshuang; Dong, Huanhe
2017
Lie algebras and Lie super algebra for the integrable couplings of NLS-mKdV hierarchy. Zbl 1221.37120
Dong, Huan-He; Wang, Xinzeng
2009
Frobenius integrable decompositions of nonlinear evolution equations with modified term. Zbl 1364.35073
Fang, Yong; Dong, Huanhe; Hou, Yijun; Kong, Yuan
2014
Analytical research of ($$3+1$$)-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach. Zbl 07012081
Ren, Yanwei; Tao, Mengshuang; Dong, Huanhe; Yang, Hongwei
2019
Component-trace identity for Hamiltonian structure of the integrable couplings of the giachetti-johnson (GJ) hierarchy and coupling integrable couplings. Zbl 1221.37136
Wang, Xiangrong; Fang, Yong; Dong, Huanhe
2011
Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows. Zbl 1420.35294
Liu, Yu; Dong, Huanhe; Zhang, Yong
2019
Generalized bilinear differential operators, binary Bell polynomials, and exact periodic wave solution of Boiti-Leon-Manna-Pempinelli equation. Zbl 07022983
Dong, Huanhe; Zhang, Yanfeng; Zhang, Yongfeng; Yin, Baoshu
2014
A new integro-differential equation for Rossby solitary waves with topography effect in deep rotational fluids. Zbl 1432.76067
Yang, Hongwei; Zhao, Qingfeng; Yin, Baoshu; Dong, Huanhe
2013
Some reductions from a Lax integrable system and their Hamiltonian structures. Zbl 1254.37047
Wang, Xinzeng; Dong, Huanhe; Li, Yuxia
2012
Integrable couplings of the TC hierarchy and its Hamiltonian structure. Zbl 1133.37332
Li, Zhu; Zhang, Yujuan; Dong, Huanhe
2007
Integrable couplings of the multi-component Dirac hierarchy and its Hamiltonian structure. Zbl 1221.37130
Li, Zhu; Dong, Huanhe
2008
Generation of solitary Rossby waves by unstable topography. Zbl 1247.76022
Yang, Hong-Wei; Yin, Bao-Shu; Dong, Huan-He; Ma, Zhen-Dong
2012
Two integrable couplings of the Tu hierarchy and their Hamiltonian structures. Zbl 1142.37360
Li, Zhu; Dong, Huanhe
2008
A few integrable couplings of some integrable systems and ($$2 + 1$$)-dimensional integrable hierarchies. Zbl 07023340
Feng, Binlu; Zhang, Yufeng; Dong, Huanhe
2014
A subalgebra of Lie algebra $$A_2$$ and its associated two types of loop algebras, as well as Hamiltonian structures of integrable hierarchy. Zbl 1187.37103
Dong, Huan-he
2009
$$(2+1)$$-dimensional TD hierarchy and its integrable couplings. Zbl 1133.37331
Li, Zhu; Dong, Huan-He
2007
Exact periodic wave solution of extended $$(2+1)$$-dimensional shallow water wave equation with generalized $$D_{\bar{p}}$$-operators. Zbl 1311.35215
Dong, Huan-He; Zhang, Yan-Feng
2015
New Lax pairs of the Toda lattice and the nonlinearization under a higher-order Bargmann constraint. Zbl 1274.37037
Dong, Huanhe; Su, Jie; Yi, Fangjiao; Zhang, Tongqian
2012
Nonlinear bi-integrable couplings of multicomponent Guo hierarchy with self-consistent sources. Zbl 1266.37035
Yang, Hongwei; Dong, Huanhe; Yin, Baoshu; Liu, Zhenyu
2012
A Lie algebra containing four parameters for the generalized Dirac hierarchy. Zbl 1218.37087
Dong, Huanhe; Wang, Xinzeng
2009
A $$(2 + 1)$$-dimensional multi-component AKNS integrable hierarchy and its expanding model. Zbl 1133.37335
Dong, Huan-He; Gong, Xin-Bo
2007
Dynamic behaviors of interaction solutions of (3 + 1)-dimensional shallow water wave equation. Zbl 1434.35160
Gu, Jiayue; Zhang, Yong; Dong, Huanhe
2018
The new integrable symplectic map and the symmetry of integrable nonlinear lattice equation. Zbl 07247551
Dong, Huanhe; Zhang, Yong; Zhang, Xiaoen
2016
Generalized nonlinear complementarity problems with order $$P_0$$ and $$R_0$$ properties. Zbl 1296.90127
Zhong, Bo; Dong, Huanhe; Kong, Lingchen; Tao, Jiyuan
2014
A new 4-dimensional implicit vector-form loop algebra with arbitrary constants and the corresponding computing formula of constant $$\gamma$$ in the variation identity. Zbl 1278.35210
Dong, Huanhe; Wang, Xiangrong; Zhao, Wencai
2012
Two new expanding Lie algebras and their integrable models. Zbl 1222.37067
Wang, Yun-Hu; Dong, Huan-He; He, Bai-Ying; Wang, Hui
2010
New integrable lattice hierarchies and associated properties. Zbl 1197.37094
Li, Zhu; Zhang, Ning; Dong, Huanhe
2009
Super-Burgers soliton hierarchy and its super-Hamiltonian structure. Zbl 1179.37084
Li, Zhu; Yang, Hongwei; Dong, Huanhe
2009
A Lie superalgebra and corresponding hierarchy of evolution equations. Zbl 1181.37104
Wang, Xin-Zeng; Dong, Huan-He
2009
A super-soliton hierarchy and its super-Hamiltonian structure. Zbl 1177.37073
Li, Zhu; Dong, Huanhe; Yang, Hongwei
2009
New matrix loop algebra and its application. Zbl 1392.37053
Dong, Huan-He; Xu, Yue-Cai
2008
A new multi-component hierarchy and its integrable expanding model. Zbl 1146.37352
Dong, Huanhe; Liang, Xiangqian
2008
The quadratic-form identity for constructing Hamiltonian structures of the NLS-MKdV hierarchy and multi-component Levi hierarchy. Zbl 1210.37045
Dong, Huan-He; Wang, Xiang-Rong
2008
Integrable couplings of the Burgers hierarchy and its Hamiltonian structure as well as its solutions. Zbl 1153.37416
Li, Zhu; Dong, Huanhe
2008
Abundant new travelling wave solutions for the (2 + 1)-dimensional sine-Gordon equation. Zbl 1143.35357
Li, Zhu; Dong, Huanhe
2008
Integrable couplings of the Tu hierarchy and its Hamiltonian structure. Zbl 1142.37044
Li, Zhu; Dong, Huanhe
2008
A new loop algebra and corresponding computing formula of constant $$\gamma$$ in quadratic-form identity. Zbl 1355.37084
Guo, Fu-Kui; Dong, Huan-He
2007
A hierarchy of integrable nonlinear lattice equations and new integrable symplectic map. Zbl 1267.37080
Xu, Xi-Xiang; Dong, Huan-He
2002
On the existence of solution, Lie symmetry analysis and conservation law of magnetohydrodynamic equations. Zbl 1450.35021
Liu, Mingshuo; Dong, Huanhe
2020
Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation. Zbl 1435.35365
Zhang, Yong; Dong, Huan-He; Wang, Deng-Shan
2020
Lump solutions and interaction solutions for the dimensionally reduced nonlinear evolution equation. Zbl 1432.35186
Guo, Baoyong; Dong, Huanhe; Fang, Yong
2019
Interaction solutions of a $$(2+1)$$-dimensional dispersive long wave system. Zbl 1415.35248
Wang, Hui; Wang, Yun-Hu; Dong, Huan-He
2018
Hybrid solutions of (3 + 1)-dimensional Jimbo-Miwa equation. Zbl 1426.35209
Zhang, Yong; Sun, Shili; Dong, Huanhe
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 super-discrete variational identity and its application for constructing super-discrete Hamiltonian systems. Zbl 1310.37041
Li, Xin-Yue; Zhao, Qiu-Lan; Li, Yu-Xia; Dong, Huan-He
2015
Algebraic Rossby solitary waves excited by non-stationary external source. Zbl 1264.76030
Yang, Hong-Wei; Yin, Bao-Shu; Dong, Huan-He; Shi, Yun-Long
2012
Discrete symmetries analysis and exact solutions of the inviscid Burgers equation. Zbl 1248.35165
Yang, Hongwei; Shi, Yunlong; Yin, Baoshu; Dong, Huanhe
2012
New integrable lattice hierarchy and its integrable coupling. Zbl 1211.37091
Li, Zhu; Dong, Huanhe
2009
New lattice equation hierarchies and Darboux transformation. Zbl 1181.37098
Li, Ling; Dong, Huanhe
2009
New matrix Lie algebra and its application. Zbl 1167.37346
Li, Ling; Dong, Huanhe
2008
A new loop algebra and the corresponding computing formula of constant $$\gamma$$ in the quadratic-form identity, as well as the generalized Burgers hierarchy. Zbl 1165.37028
Dong, Huanhe; Wang, Xuelei; Zhang, Ning
2008
Integrable couplings of the TB hierarchy and its Hamiltonian structure. Zbl 1164.35472
Zhang, Yu; Dong, Huanhe; Li, Zhu
2008
The Hamiltonian structure of two integrable expanding models. Zbl 1164.35467
Liu, Bin; Dong, Huanhe; Li, Zhu
2007
Two types of multicomponent matrix loop algebras and its application. Zbl 1144.81340
Dong, Huanhe; Yuan, Wei
2007
A new loop algebra and two new Liouville integrable hierarchy. Zbl 1124.37039
Dong, Huan-He
2007
A new expanding integrable hierarchy of Kaup-Newell hierarchy. Zbl 1375.37158
Dong, Huanhe
2006
On the existence of solution, Lie symmetry analysis and conservation law of magnetohydrodynamic equations. Zbl 1450.35021
Liu, Mingshuo; Dong, Huanhe
2020
Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation. Zbl 1435.35365
Zhang, Yong; Dong, Huan-He; Wang, Deng-Shan
2020
Analytical research of ($$3+1$$)-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach. Zbl 07012081
Ren, Yanwei; Tao, Mengshuang; Dong, Huanhe; Yang, Hongwei
2019
Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows. Zbl 1420.35294
Liu, Yu; Dong, Huanhe; Zhang, Yong
2019
Lump solutions and interaction solutions for the dimensionally reduced nonlinear evolution equation. Zbl 1432.35186
Guo, Baoyong; Dong, Huanhe; Fang, Yong
2019
Dynamic behaviors of interaction solutions of (3 + 1)-dimensional shallow water wave equation. Zbl 1434.35160
Gu, Jiayue; Zhang, Yong; Dong, Huanhe
2018
Interaction solutions of a $$(2+1)$$-dimensional dispersive long wave system. Zbl 1415.35248
Wang, Hui; Wang, Yun-Hu; Dong, Huan-He
2018
Rational solutions and lump solutions to the generalized $$(3+1)$$-dimensional shallow water-like equation. Zbl 1368.35240
Zhang, Yong; Dong, Huanhe; Zhang, Xiaoen; Yang, Hongwei
2017
Algebro-geometric solutions for a discrete integrable equation. Zbl 1397.37080
Tao, Mengshuang; Dong, Huanhe
2017
Hybrid solutions of (3 + 1)-dimensional Jimbo-Miwa equation. Zbl 1426.35209
Zhang, Yong; Sun, Shili; Dong, Huanhe
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
Generalized fractional supertrace identity for Hamiltonian structure of NLS-MKdV hierarchy with self-consistent sources. Zbl 1339.37051
Dong, Huan He; Guo, Bao Yong; Yin, Bao Shu
2016
ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect. Zbl 1419.35180
Yang, Hong Wei; Xu, Zhen Hua; Yang, De Zhou; Feng, Xing Ru; Yin, Bao Shu; Dong, Huan He
2016
The new integrable symplectic map and the symmetry of integrable nonlinear lattice equation. Zbl 07247551
Dong, Huanhe; Zhang, Yong; Zhang, Xiaoen
2016
Generalised (2+1)-dimensional super mKdV hierarchy for integrable systems in soliton theory. Zbl 06797000
Dong, Huanhe; Zhao, Kun; Yang, Hongwei; Li, Yuqing
2015
Binary Bargmann symmetry constraint associated with $$3\times 3$$ discrete matrix spectral problem. Zbl 1327.35335
Li, Xin-Yue; Zhao, Qiu-Lan; Li, Yu-Xia; Dong, Huan-He
2015
Exact periodic wave solution of extended $$(2+1)$$-dimensional shallow water wave equation with generalized $$D_{\bar{p}}$$-operators. Zbl 1311.35215
Dong, Huan-He; Zhang, Yan-Feng
2015
A super-discrete variational identity and its application for constructing super-discrete Hamiltonian systems. Zbl 1310.37041
Li, Xin-Yue; Zhao, Qiu-Lan; Li, Yu-Xia; Dong, Huan-He
2015
Frobenius integrable decompositions of nonlinear evolution equations with modified term. Zbl 1364.35073
Fang, Yong; Dong, Huanhe; Hou, Yijun; Kong, Yuan
2014
Generalized bilinear differential operators, binary Bell polynomials, and exact periodic wave solution of Boiti-Leon-Manna-Pempinelli equation. Zbl 07022983
Dong, Huanhe; Zhang, Yanfeng; Zhang, Yongfeng; Yin, Baoshu
2014
A few integrable couplings of some integrable systems and ($$2 + 1$$)-dimensional integrable hierarchies. Zbl 07023340
Feng, Binlu; Zhang, Yufeng; Dong, Huanhe
2014
Generalized nonlinear complementarity problems with order $$P_0$$ and $$R_0$$ properties. Zbl 1296.90127
Zhong, Bo; Dong, Huanhe; Kong, Lingchen; Tao, Jiyuan
2014
A new integro-differential equation for Rossby solitary waves with topography effect in deep rotational fluids. Zbl 1432.76067
Yang, Hongwei; Zhao, Qingfeng; Yin, Baoshu; Dong, Huanhe
2013
Some reductions from a Lax integrable system and their Hamiltonian structures. Zbl 1254.37047
Wang, Xinzeng; Dong, Huanhe; Li, Yuxia
2012
Generation of solitary Rossby waves by unstable topography. Zbl 1247.76022
Yang, Hong-Wei; Yin, Bao-Shu; Dong, Huan-He; Ma, Zhen-Dong
2012
New Lax pairs of the Toda lattice and the nonlinearization under a higher-order Bargmann constraint. Zbl 1274.37037
Dong, Huanhe; Su, Jie; Yi, Fangjiao; Zhang, Tongqian
2012
Nonlinear bi-integrable couplings of multicomponent Guo hierarchy with self-consistent sources. Zbl 1266.37035
Yang, Hongwei; Dong, Huanhe; Yin, Baoshu; Liu, Zhenyu
2012
A new 4-dimensional implicit vector-form loop algebra with arbitrary constants and the corresponding computing formula of constant $$\gamma$$ in the variation identity. Zbl 1278.35210
Dong, Huanhe; Wang, Xiangrong; Zhao, Wencai
2012
Algebraic Rossby solitary waves excited by non-stationary external source. Zbl 1264.76030
Yang, Hong-Wei; Yin, Bao-Shu; Dong, Huan-He; Shi, Yun-Long
2012
Discrete symmetries analysis and exact solutions of the inviscid Burgers equation. Zbl 1248.35165
Yang, Hongwei; Shi, Yunlong; Yin, Baoshu; Dong, Huanhe
2012
Component-trace identity for Hamiltonian structure of the integrable couplings of the giachetti-johnson (GJ) hierarchy and coupling integrable couplings. Zbl 1221.37136
Wang, Xiangrong; Fang, Yong; Dong, Huanhe
2011
Two new expanding Lie algebras and their integrable models. Zbl 1222.37067
Wang, Yun-Hu; Dong, Huan-He; He, Bai-Ying; Wang, Hui
2010
Lie algebras and Lie super algebra for the integrable couplings of NLS-mKdV hierarchy. Zbl 1221.37120
Dong, Huan-He; Wang, Xinzeng
2009
A subalgebra of Lie algebra $$A_2$$ and its associated two types of loop algebras, as well as Hamiltonian structures of integrable hierarchy. Zbl 1187.37103
Dong, Huan-he
2009
A Lie algebra containing four parameters for the generalized Dirac hierarchy. Zbl 1218.37087
Dong, Huanhe; Wang, Xinzeng
2009
New integrable lattice hierarchies and associated properties. Zbl 1197.37094
Li, Zhu; Zhang, Ning; Dong, Huanhe
2009
Super-Burgers soliton hierarchy and its super-Hamiltonian structure. Zbl 1179.37084
Li, Zhu; Yang, Hongwei; Dong, Huanhe
2009
A Lie superalgebra and corresponding hierarchy of evolution equations. Zbl 1181.37104
Wang, Xin-Zeng; Dong, Huan-He
2009
A super-soliton hierarchy and its super-Hamiltonian structure. Zbl 1177.37073
Li, Zhu; Dong, Huanhe; Yang, Hongwei
2009
New integrable lattice hierarchy and its integrable coupling. Zbl 1211.37091
Li, Zhu; Dong, Huanhe
2009
New lattice equation hierarchies and Darboux transformation. Zbl 1181.37098
Li, Ling; Dong, Huanhe
2009
Integrable couplings of the multi-component Dirac hierarchy and its Hamiltonian structure. Zbl 1221.37130
Li, Zhu; Dong, Huanhe
2008
Two integrable couplings of the Tu hierarchy and their Hamiltonian structures. Zbl 1142.37360
Li, Zhu; Dong, Huanhe
2008
New matrix loop algebra and its application. Zbl 1392.37053
Dong, Huan-He; Xu, Yue-Cai
2008
A new multi-component hierarchy and its integrable expanding model. Zbl 1146.37352
Dong, Huanhe; Liang, Xiangqian
2008
The quadratic-form identity for constructing Hamiltonian structures of the NLS-MKdV hierarchy and multi-component Levi hierarchy. Zbl 1210.37045
Dong, Huan-He; Wang, Xiang-Rong
2008
Integrable couplings of the Burgers hierarchy and its Hamiltonian structure as well as its solutions. Zbl 1153.37416
Li, Zhu; Dong, Huanhe
2008
Abundant new travelling wave solutions for the (2 + 1)-dimensional sine-Gordon equation. Zbl 1143.35357
Li, Zhu; Dong, Huanhe
2008
Integrable couplings of the Tu hierarchy and its Hamiltonian structure. Zbl 1142.37044
Li, Zhu; Dong, Huanhe
2008
New matrix Lie algebra and its application. Zbl 1167.37346
Li, Ling; Dong, Huanhe
2008
A new loop algebra and the corresponding computing formula of constant $$\gamma$$ in the quadratic-form identity, as well as the generalized Burgers hierarchy. Zbl 1165.37028
Dong, Huanhe; Wang, Xuelei; Zhang, Ning
2008
Integrable couplings of the TB hierarchy and its Hamiltonian structure. Zbl 1164.35472
Zhang, Yu; Dong, Huanhe; Li, Zhu
2008
Integrable couplings of the TC hierarchy and its Hamiltonian structure. Zbl 1133.37332
Li, Zhu; Zhang, Yujuan; Dong, Huanhe
2007
$$(2+1)$$-dimensional TD hierarchy and its integrable couplings. Zbl 1133.37331
Li, Zhu; Dong, Huan-He
2007
A $$(2 + 1)$$-dimensional multi-component AKNS integrable hierarchy and its expanding model. Zbl 1133.37335
Dong, Huan-He; Gong, Xin-Bo
2007
A new loop algebra and corresponding computing formula of constant $$\gamma$$ in quadratic-form identity. Zbl 1355.37084
Guo, Fu-Kui; Dong, Huan-He
2007
The Hamiltonian structure of two integrable expanding models. Zbl 1164.35467
Liu, Bin; Dong, Huanhe; Li, Zhu
2007
Two types of multicomponent matrix loop algebras and its application. Zbl 1144.81340
Dong, Huanhe; Yuan, Wei
2007
A new loop algebra and two new Liouville integrable hierarchy. Zbl 1124.37039
Dong, Huan-He
2007
A new expanding integrable hierarchy of Kaup-Newell hierarchy. Zbl 1375.37158
Dong, Huanhe
2006
A hierarchy of integrable nonlinear lattice equations and new integrable symplectic map. Zbl 1267.37080
Xu, Xi-Xiang; Dong, Huan-He
2002
all top 5

#### Cited by 312 Authors

 34 Ma, Wen-Xiu 32 Dong, Huanhe 31 Yang, Hongwei 11 Yin, Baoshu 9 Wang, Hui 9 Xia, Tie-Cheng 8 Zhang, Xiaoen 7 Wang, Yunhu 7 Wen, Xiaoyong 7 Yang, Liangui 7 Zhang, Yufeng 6 Fang, Yong 6 Guo, Min 6 Liu, Quansheng 6 Yang, Yuguang 5 Bilige, Sudao 5 Fu, Chen 5 Khalique, Chaudry Masood 5 Li, Xinyue 5 Lu, Changna 5 Meng, Xinzhu 5 Shi, Weimin 5 Zhang, Ruigang 5 Zhou, Yihua 4 Bai, Zhanbing 4 Cheng, Huidong 4 Fang, Tao 4 Guo, Baoyong 4 Li, Dan 4 Tao, Mengshuang 4 Wang, Dengshan 4 Wang, Xiangrong 4 Zhang, Lijun 4 Zhang, Ning 4 Zhao, Qiulan 3 Chaolu, Temuer 3 Chen, Shouting 3 Chen, Xin 3 Li, Yuqing 3 Li, Yuxia 3 Li, Zhu 3 Liu, Jianxin 3 Manafian Heris, Jalil 3 Sun, Yepeng 3 Tang, Yaning 3 Wang, Lei 3 Wang, Ruyun 3 Wang, Xinzeng 3 Xu, Ling 3 Yin, Xiaojun 3 Zhang, Runfa 3 Zhang, Yong 3 Zhao, Baojun 2 Biswas, Anjan 2 Chang, Hui 2 Chen, Bo 2 Chen, Liangyun 2 Chen, Liguo 2 Chen, Yaodeng 2 Dai, Chaoqing 2 Fu, Lei 2 Gao, Shang 2 Han, Maoan 2 He, Baiying 2 Li, Fei 2 Li, Qingjian 2 Liu, Mingshuo 2 Liu, Wenjun J. 2 McAnally, Morgan 2 Ren, Yanwei 2 Song, Qilin 2 Sun, Wen-Jin 2 Tang, Xiaoyan 2 Tao, Sixing 2 Wang, Fang 2 Wang, Zhen 2 Wu, Guorong 2 Xie, Luoyan 2 Xu, Xixiang 2 Xu, Zhenhua 2 Yang, Hongxiang 2 Yang, Jinyun 2 Zhang, Xiangzhi 2 Zhang, Yu 2 Zhou, Jianping 2 Zhou, Qin 1 Abapour, Mehdi 1 Ahmad, Khalil 1 Albares, P. 1 Ali, Ahmad Tawfik 1 Batwa, Sumayah 1 Belić, Milivoj R. 1 Bi, Jing-Lin 1 Bibi, Khudija 1 Cao, Wei-Feng 1 Chang, Shuangling 1 Che, Haitao 1 Chen, Bing 1 Chen, Borsen 1 Chen, C. L. Philip ...and 212 more Authors
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#### Cited in 51 Serials

 20 Computers & Mathematics with Applications 16 Nonlinear Dynamics 14 Applied Mathematics and Computation 14 Advances in Difference Equations 12 Complexity 10 Advances in Mathematical Physics 9 Mathematical Problems in Engineering 8 Communications in Nonlinear Science and Numerical Simulation 7 International Journal of Theoretical Physics 7 Journal of Geometry and Physics 6 Modern Physics Letters B 6 Abstract and Applied Analysis 6 Analysis and Mathematical Physics 5 Applied Mathematics Letters 5 Frontiers of Mathematics in China 5 Journal of Function Spaces 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Discrete and Continuous Dynamical Systems. Series S 4 Communications in Theoretical Physics 3 Journal of Mathematical Physics 3 Discrete Dynamics in Nature and Society 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Quantum Information Processing 2 International Journal of Modern Physics B 2 Journal of Mathematical Analysis and Applications 2 Reports on Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Chaos, Solitons and Fractals 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Journal of Applied Mathematics 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Fuzzy Sets and Systems 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Quaestiones Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematical Modelling 1 Journal of Nonlinear Science 1 Computational and Applied Mathematics 1 Journal of Inequalities and Applications 1 Nonlinear Analysis. Modelling and Control 1 Journal of Systems Science and Complexity 1 Computational & Mathematical Methods in Medicine 1 Mathematical Modelling of Natural Phenomena 1 Journal of Nonlinear Science and Applications 1 Symmetry 1 East Asian Journal on Applied Mathematics 1 Open Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 29 Fields

 146 Partial differential equations (35-XX) 106 Dynamical systems and ergodic theory (37-XX) 30 Fluid mechanics (76-XX) 16 Ordinary differential equations (34-XX) 14 Nonassociative rings and algebras (17-XX) 13 Quantum theory (81-XX) 11 Biology and other natural sciences (92-XX) 10 Computer science (68-XX) 9 Geophysics (86-XX) 7 Systems theory; control (93-XX) 5 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 5 Information and communication theory, circuits (94-XX) 4 Real functions (26-XX) 4 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic geometry (14-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)