## Guo, Fukui

Compute Distance To:
 Author ID: guo.fukui Published as: Guo, Fukui; Guo, Fu-Kui; Guo, Fu Kui more...less
 Documents Indexed: 46 Publications since 1982 Co-Authors: 5 Co-Authors with 27 Joint Publications 323 Co-Co-Authors
all top 5

### Co-Authors

 15 single-authored 24 Zhang, Yufeng 3 Yan, Qingyou 1 Agadjanov, D. 1 Dong, Huanhe 1 Ma, Wen-Xiu 1 Tam, Honwah
all top 5

### Serials

 8 Chaos, Solitons and Fractals 7 Communications in Theoretical Physics 4 Acta Mathematica Sinica 2 Acta Mechanica 2 International Journal of Theoretical Physics 2 Acta Mathematicae Applicatae Sinica 2 Acta Physica Sinica 2 Mathematica Applicata 2 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Mathematics in Practice and Theory 1 Chinese Annals of Mathematics. Series A 1 Journal of Systems Science and Mathematical Sciences 1 Annals of Differential Equations 1 Journal of Physics A: Mathematical and General 1 Applied Mathematics. Series A (Chinese Edition) 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Chinese Quarterly Journal of Mathematics 1 Journal of High Energy Physics 1 Far East Journal of Dynamical Systems 1 Acta Mathematica Sinica. Chinese Series 1 Journal of Applied Nonlinear Dynamics
all top 5

### Fields

 39 Dynamical systems and ergodic theory (37-XX) 25 Partial differential equations (35-XX) 7 Nonassociative rings and algebras (17-XX) 5 Quantum theory (81-XX) 3 Topological groups, Lie groups (22-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 312 times in 179 Documents Cited by Year
The quadratic-form identity for constructing the Hamiltonian structure of integrable systems. Zbl 1077.37045
Guo, Fukui; Zhang, Yufeng
2005
A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling. Zbl 1063.37068
Guo, Fukui; Zhang, Yufeng
2003
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
The integrable coupling of the AKNS hierarchy and its Hamiltonian structure. Zbl 1134.37030
Guo, Fukui; Zhang, Yufeng
2007
A family of expanding integrable models of the AKNS hierarchy of equations. Zbl 1202.37084
Guo, Fu Kui; Zhang, Yu Feng
2002
Subalgebras of the loop algebra $$\tilde A_1$$ and integrable Hamiltonian hierarchies of equations. Zbl 0953.35136
Guo, Fukui
1999
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
A hierarchy of integrable Hamiltonian equations. Zbl 1071.37514
Guo, Fukui
2000
NLS-MKdV Hierarchy of equations that are integrable and in the Hamiltonian forms. Zbl 0903.35059
Guo, Fukui
1997
New simple method for obtaining integrable hierarchies of soliton equations with multicomponent potential functions. Zbl 1062.37069
Guo, Fukui; Zhang, Yufeng; Yan, Qingyou
2004
Lax representations and zero-curvature representations by the Kronecker product. Zbl 0946.37032
Ma, Wenxiu; Guo, Fukui
1997
Expansion of the Lie algebra and its applications. Zbl 1085.37051
Guo, Fukui; Zhang, Yufeng
2006
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 new loop algebra and a generalized Tu formula. Zbl 1175.81126
Guo, Fu-Kui; Zhang, Yu-Feng
2009
A new loop algebra and its subalgebras. Zbl 1055.37068
Guo, Fukui; Zhang, Yufeng
2004
A stochastic micromechanical model for multiphase composites containing spherical inhomogeneities. Zbl 1317.74073
Chen, Q.; Zhu, H. H.; Ju, J. W.; Guo, F.; Wang, L. B.; Yan, Z. G.; Deng, T.; Zhou, S.
2015
Three new integrable hierarchies of equations. Zbl 1267.37073
Guo, Fu-Kui
2007
An extended trace identity and applications. Zbl 1172.70009
Guo, Fukui; Zhang, Yufeng
2008
Two hierarchies of integrable Hamiltonian equations. Zbl 0941.35087
Guo, Fukui
1996
A type of soliton hierarchy and its multi-Hamiltonian structures. Zbl 1387.35517
Guo, Fukui; Zhang, Yufeng
2004
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 variant of Lax representations and Lax representations of Hamiltonian hierarchies. Zbl 0811.58025
Guo, Fukui
1994
A generalized AKNS hierarchy of equations. Zbl 1136.37351
Guo, Fukui
2002
A simple approach to negating the Hirota condition. Zbl 0728.35097
Guo, Fukui
1991
Integrable couplings and Hamiltonian structure of AKNS-KN soliton-equation hierarchy. Zbl 1174.35100
Zhang, Yufeng; Guo, Fukui
2008
Maximum entropy-based stochastic micromechanical model for a two-phase composite considering the inter-particle interaction effect. Zbl 1321.74079
Zhu, H. H.; Chen, Q.; Ju, J. W.; Yan, Z. G.; Guo, F.; Wang, Y. Q.; Jiang, Z. W.; Zhou, S.; Wu, B.
2015
Double integrable couplings and their constructing method. Zbl 1223.81120
Guo, Fu-Kui; Zhang, Yu-Feng
2011
A stochastic micromechanical model for multiphase composites containing spherical inhomogeneities. Zbl 1317.74073
Chen, Q.; Zhu, H. H.; Ju, J. W.; Guo, F.; Wang, L. B.; Yan, Z. G.; Deng, T.; Zhou, S.
2015
Maximum entropy-based stochastic micromechanical model for a two-phase composite considering the inter-particle interaction effect. Zbl 1321.74079
Zhu, H. H.; Chen, Q.; Ju, J. W.; Yan, Z. G.; Guo, F.; Wang, Y. Q.; Jiang, Z. W.; Zhou, S.; Wu, B.
2015
Double integrable couplings and their constructing method. Zbl 1223.81120
Guo, Fu-Kui; Zhang, Yu-Feng
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
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
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
Three new integrable hierarchies of equations. Zbl 1267.37073
Guo, Fu-Kui
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
Expansion of the Lie algebra and its applications. Zbl 1085.37051
Guo, Fukui; Zhang, Yufeng
2006
The quadratic-form identity for constructing the Hamiltonian structure of integrable systems. Zbl 1077.37045
Guo, Fukui; 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
New simple method for obtaining integrable hierarchies of soliton equations with multicomponent potential functions. Zbl 1062.37069
Guo, Fukui; Zhang, Yufeng; Yan, Qingyou
2004
A new loop algebra and its subalgebras. Zbl 1055.37068
Guo, Fukui; Zhang, Yufeng
2004
A type of soliton hierarchy and its multi-Hamiltonian structures. Zbl 1387.35517
Guo, Fukui; Zhang, Yufeng
2004
A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling. Zbl 1063.37068
Guo, Fukui; Zhang, Yufeng
2003
A family of expanding integrable models of the AKNS hierarchy of equations. Zbl 1202.37084
Guo, Fu Kui; Zhang, Yu Feng
2002
A generalized AKNS hierarchy of equations. Zbl 1136.37351
Guo, Fukui
2002
A hierarchy of integrable Hamiltonian equations. Zbl 1071.37514
Guo, Fukui
2000
Subalgebras of the loop algebra $$\tilde A_1$$ and integrable Hamiltonian hierarchies of equations. Zbl 0953.35136
Guo, Fukui
1999
NLS-MKdV Hierarchy of equations that are integrable and in the Hamiltonian forms. Zbl 0903.35059
Guo, Fukui
1997
Lax representations and zero-curvature representations by the Kronecker product. Zbl 0946.37032
Ma, Wenxiu; Guo, Fukui
1997
Two hierarchies of integrable Hamiltonian equations. Zbl 0941.35087
Guo, Fukui
1996
A variant of Lax representations and Lax representations of Hamiltonian hierarchies. Zbl 0811.58025
Guo, Fukui
1994
A simple approach to negating the Hirota condition. Zbl 0728.35097
Guo, Fukui
1991
all top 5

### Cited by 134 Authors

 44 Zhang, Yufeng 31 Dong, Huanhe 20 Ma, Wen-Xiu 18 Tam, Honwah 14 Yu, Fajun 13 Xia, Tie-Cheng 8 Fan, Engui 8 Guo, Fukui 8 He, Baiying 8 Li, Zhu 8 Shen, Shoufeng 7 Yang, Hongwei 6 Chen, Liangyun 5 Chen, Dengyuan 5 Jin, Yongyang 5 Wang, Haifeng 5 Wang, Xinzeng 5 Yao, Yuqin 5 Yin, Baoshu 4 Feng, Binlu 4 Ji, Jie 4 Li, Li 4 Wang, Hui 4 You, Fucai 4 Zhang, Hongqing 3 Chang, Hui 3 Ding, Haiyong 3 Guo, Xiurong 3 Li, Chunxia 3 Mei, Jianqin 3 Sun, Yepeng 3 Tang, Yaning 3 Wei, Hanyu 3 Xu, Xixiang 3 Yan, Qingyou 3 Yu, Shuimeng 3 Yue, Chao 3 Zhao, Qiulan 2 Cao, Yan 2 Chao, Yue 2 Cui, Yunan 2 Gao, Liang 2 Hon, Yiu-Chung 2 Jiang, Liya 2 Li, Ling 2 Li, Yuqing 2 Li, Yuxia 2 Liu, Jiaqi 2 Liu, Yuqing 2 Lü, Huanhuan 2 Tao, Sixing 2 Wang, Lei 2 Wang, Xiangrong 2 Wang, Yunhu 2 Zhang, Chiping 2 Zhang, Ning 2 Zhaqilao, Z. 2 Zhu, Haiyan 1 Chang, Jincai 1 Chang, Shuangling 1 Chen, Hongye 1 Chen, Yong 1 Dong, Xia 1 Fuchssteiner, Benno 1 Gao, Huijian 1 Guan, Hongyang 1 Guo, Baoyong 1 Guo, Hongzhen 1 Han, Bo 1 Han, Zhong 1 He, Jingsong 1 Hua, Peng 1 Huang, Xuncheng 1 Li, Desheng 1 Li, Lili 1 Li, Xinyue 1 Liang, Xiangqian 1 Lin, Chang 1 Lin, Maimai 1 Liu, Jinyuan 1 Liu, Zhaojun 1 Liu, Zhenyu 1 Long, Xin 1 Lu, Haihua 1 Luo, Guoliang 1 Luo, Lin 1 Ma, Lili 1 McAnally, Morgan 1 Nian, Sihong 1 Niu, Dongxiao 1 Przybylska, Maria 1 Qiao, Zhijun 1 Qin, Zhenyun 1 Qu, Xiangwen 1 Shan, Zhengduo 1 Sirendaoreji 1 Song, Ming 1 Sun, Bing 1 Tian, Bo 1 Tu, Guizhang ...and 34 more Authors
all top 5

### Cited in 36 Serials

 28 Communications in Nonlinear Science and Numerical Simulation 27 Chaos, Solitons and Fractals 19 Modern Physics Letters B 17 Journal of Mathematical Physics 13 International Journal of Modern Physics B 13 Applied Mathematics and Computation 9 Advances in Mathematical Physics 7 International Journal of Theoretical Physics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Abstract and Applied Analysis 3 Mathematical Methods in the Applied Sciences 3 Journal of Geometry and Physics 3 Communications in Theoretical Physics 2 Computers & Mathematics with Applications 2 Physics Letters. A 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Shanghai University 2 Advances in Difference Equations 2 East Asian Journal on Applied Mathematics 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 International Journal of Mathematics and Mathematical Sciences 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics. Series B (English Edition) 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Frontiers of Mathematics in China 1 Advances in Applied Mathematics and Mechanics 1 Analysis and Mathematical Physics 1 Open Mathematics
all top 5

### Cited in 16 Fields

 171 Dynamical systems and ergodic theory (37-XX) 80 Partial differential equations (35-XX) 39 Nonassociative rings and algebras (17-XX) 15 Quantum theory (81-XX) 8 Topological groups, Lie groups (22-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Difference and functional equations (39-XX) 5 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)