Edit Profile (opens in new tab) Guo, Fukui Co-Author Distance Author ID: guo.fukui Published as: Guo, Fukui; Guo, Fu-Kui; Guo, Fu Kui more...less Documents Indexed: 48 Publications since 1982 Co-Authors: 5 Co-Authors with 27 Joint Publications 380 Co-Co-Authors all top 5 Co-Authors 17 single-authored 24 Zhang, Yufeng 3 Yan, Qingyou 2 Chen, Qing 2 Yan, Zhiguo 2 Zhou, Shuai 2 Zhu, Hehua 1 Agadjanov, D. 1 Dong, Huanhe 1 Jiang, Zhengwu 1 Ma, Wen-Xiu 1 Tam, Hon-Wah all top 5 Serials 8 Chaos, Solitons and Fractals 7 Communications in Theoretical Physics 4 Acta Mathematica Sinica 3 Mathematica Applicata 2 Acta Mechanica 2 International Journal of Theoretical Physics 2 Acta Mathematicae Applicatae Sinica 2 Mathematics in Practice and Theory 2 Acta Physica Sinica 2 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Mathematical Physics 1 Physics Letters. A 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 40 Dynamical systems and ergodic theory (37-XX) 26 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 326 times in 187 Documents Cited by ▼ Year ▼ The quadratic-form identity for constructing the Hamiltonian structure of integrable systems. Zbl 1077.37045 Guo, Fukui; Zhang, Yufeng 88 2005 A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling. Zbl 1063.37068 Guo, Fukui; Zhang, Yufeng 61 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 22 2004 Subalgebras of the loop algebra \(\tilde A_1\) and integrable Hamiltonian hierarchies of equations. Zbl 0953.35136 Guo, Fukui 16 1999 A family of expanding integrable models of the AKNS hierarchy of equations. Zbl 1202.37084 Guo, Fu Kui; Zhang, Yu Feng 16 2002 The integrable coupling of the AKNS hierarchy and its Hamiltonian structure. Zbl 1134.37030 Guo, Fukui; Zhang, Yufeng 16 2007 Two unified formulae. Zbl 1203.37105 Guo, Fukui; Zhang, Yufeng 13 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 13 2007 A hierarchy of integrable Hamiltonian equations. Zbl 1071.37514 Guo, Fukui 11 2000 NLS-MKdV Hierarchy of equations that are integrable and in the Hamiltonian forms. Zbl 0903.35059 Guo, Fukui 10 1997 New simple method for obtaining integrable hierarchies of soliton equations with multicomponent potential functions. Zbl 1062.37069 Guo, Fukui; Zhang, Yufeng; Yan, Qingyou 9 2004 Lax representations and zero-curvature representations by the Kronecker product. Zbl 0946.37032 Ma, Wenxiu; Guo, Fukui 8 1997 Invertible linear transformations and the Lie algebras. Zbl 1221.37147 Zhang, Yufeng; Tam, Honwah; Guo, Fukui 7 2008 Expansion of the Lie algebra and its applications. Zbl 1085.37051 Guo, Fukui; Zhang, Yufeng 6 2006 A type of new loop algebra and a generalized Tu formula. Zbl 1175.81126 Guo, Fu-Kui; Zhang, Yu-Feng 5 2009 A new loop algebra and its subalgebras. Zbl 1055.37068 Guo, Fukui; Zhang, Yufeng 4 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. 4 2015 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 4 2008 Three new integrable hierarchies of equations. Zbl 1267.37073 Guo, Fu-Kui 3 2007 Two hierarchies of integrable Hamiltonian equations. Zbl 0941.35087 Guo, Fukui 2 1996 A new loop algebra and corresponding computing formula of constant \(\gamma\) in quadratic-form identity. Zbl 1355.37084 Guo, Fu-Kui; Dong, Huan-He 2 2007 An extended trace identity and applications. Zbl 1172.70009 Guo, Fukui; Zhang, Yufeng 2 2008 A type of soliton hierarchy and its multi-Hamiltonian structures. Zbl 1387.35517 Guo, Fukui; Zhang, Yufeng 2 2004 A variant of Lax representations and Lax representations of Hamiltonian hierarchies. Zbl 0811.58025 Guo, Fukui 1 1994 A generalized AKNS hierarchy of equations. Zbl 1136.37351 Guo, Fukui 1 2002 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. 1 2015 An extension of a Lie algebra and a related integrable system. Zbl 1202.37093 Zhang, Yu Feng; Guo, Fu Kui 1 2004 Integrable couplings and Hamiltonian structure of AKNS-KN soliton-equation hierarchy. Zbl 1174.35100 Zhang, Yufeng; Guo, Fukui 1 2008 Double integrable couplings and their constructing method. Zbl 1223.81120 Guo, Fu-Kui; Zhang, Yu-Feng 1 2011 A simple approach to negating the Hirota condition. Zbl 0728.35097 Guo, Fukui 1 1991 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. 4 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. 1 2015 Double integrable couplings and their constructing method. Zbl 1223.81120 Guo, Fu-Kui; Zhang, Yu-Feng 1 2011 A type of new loop algebra and a generalized Tu formula. Zbl 1175.81126 Guo, Fu-Kui; Zhang, Yu-Feng 5 2009 Invertible linear transformations and the Lie algebras. Zbl 1221.37147 Zhang, Yufeng; Tam, Honwah; Guo, Fukui 7 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 4 2008 An extended trace identity and applications. Zbl 1172.70009 Guo, Fukui; Zhang, Yufeng 2 2008 Integrable couplings and Hamiltonian structure of AKNS-KN soliton-equation hierarchy. Zbl 1174.35100 Zhang, Yufeng; Guo, Fukui 1 2008 The integrable coupling of the AKNS hierarchy and its Hamiltonian structure. Zbl 1134.37030 Guo, Fukui; Zhang, Yufeng 16 2007 Two unified formulae. Zbl 1203.37105 Guo, Fukui; Zhang, Yufeng 13 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 13 2007 Three new integrable hierarchies of equations. Zbl 1267.37073 Guo, Fu-Kui 3 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 2 2007 Expansion of the Lie algebra and its applications. Zbl 1085.37051 Guo, Fukui; Zhang, Yufeng 6 2006 The quadratic-form identity for constructing the Hamiltonian structure of integrable systems. Zbl 1077.37045 Guo, Fukui; Zhang, Yufeng 88 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 22 2004 New simple method for obtaining integrable hierarchies of soliton equations with multicomponent potential functions. Zbl 1062.37069 Guo, Fukui; Zhang, Yufeng; Yan, Qingyou 9 2004 A new loop algebra and its subalgebras. Zbl 1055.37068 Guo, Fukui; Zhang, Yufeng 4 2004 A type of soliton hierarchy and its multi-Hamiltonian structures. Zbl 1387.35517 Guo, Fukui; Zhang, Yufeng 2 2004 An extension of a Lie algebra and a related integrable system. Zbl 1202.37093 Zhang, Yu Feng; Guo, Fu Kui 1 2004 A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling. Zbl 1063.37068 Guo, Fukui; Zhang, Yufeng 61 2003 A family of expanding integrable models of the AKNS hierarchy of equations. Zbl 1202.37084 Guo, Fu Kui; Zhang, Yu Feng 16 2002 A generalized AKNS hierarchy of equations. Zbl 1136.37351 Guo, Fukui 1 2002 A hierarchy of integrable Hamiltonian equations. Zbl 1071.37514 Guo, Fukui 11 2000 Subalgebras of the loop algebra \(\tilde A_1\) and integrable Hamiltonian hierarchies of equations. Zbl 0953.35136 Guo, Fukui 16 1999 NLS-MKdV Hierarchy of equations that are integrable and in the Hamiltonian forms. Zbl 0903.35059 Guo, Fukui 10 1997 Lax representations and zero-curvature representations by the Kronecker product. Zbl 0946.37032 Ma, Wenxiu; Guo, Fukui 8 1997 Two hierarchies of integrable Hamiltonian equations. Zbl 0941.35087 Guo, Fukui 2 1996 A variant of Lax representations and Lax representations of Hamiltonian hierarchies. Zbl 0811.58025 Guo, Fukui 1 1994 A simple approach to negating the Hirota condition. Zbl 0728.35097 Guo, Fukui 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 153 Authors 50 Zhang, Yufeng 31 Dong, Huanhe 20 Ma, Wen-Xiu 18 Tam, Hon-Wah 14 Yu, Fajun 13 Xia, Tie-Cheng 9 He, Baiying 9 Shen, Shoufeng 8 Fan, Engui 8 Guo, Fukui 8 Li, Zhu 7 Yang, Hongwei 6 Chen, Liangyun 6 Jin, Yongyang 6 Wang, Haifeng 5 Chen, Dengyuan 5 Wang, Xinzeng 5 Yao, Yuqin 5 Yin, Baoshu 5 You, Fucai 5 Zhang, Hongqing 4 Feng, Binlu 4 Ji, Jie 4 Li, Li 4 Wang, Hui 4 Zhao, Qiulan 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 2 Cao, Yan 2 Chao, Yue 2 Cui, Yunan 2 Gao, Liang 2 Hon, Yiu-Chung 2 Jiang, Liya 2 Jiang, Wei 2 Li, Chuanzhong 2 Li, Ling 2 Li, Xinyue 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, Jian 2 Zhang, Jianbing 2 Zhang, Ning 2 Zhaqilao, Z. 2 Zhu, Haiyan 1 Chang, Jincai 1 Chang, Shuangling 1 Chen, Hongye 1 Chen, Xiaohong 1 Chen, Yong 1 Cheng, Hongbiao 1 Dong, Xia 1 Fuchssteiner, Benno 1 Gao, Huijian 1 Gao, Siyu 1 Guan, Hongyang 1 Guo, Baoyong 1 Guo, Hongzhen 1 Han, Bo 1 Han, Zhong 1 He, Jingsong 1 Hu, Xiaorui 1 Hua, Peng 1 Huang, Xuncheng 1 Li, Desheng 1 Li, Lili 1 Li, Yan 1 Li, Yan 1 Liang, Xiangqian 1 Lin, Chang 1 Lin, Maimai 1 Liu, Jinyuan 1 Liu, Shiyuan 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 ...and 53 more Authors all top 5 Cited in 38 Serials 29 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 Theoretical and Mathematical Physics 3 Journal of Geometry and Physics 3 Advances in Difference Equations 3 Communications in Theoretical Physics 2 Computers & Mathematics with Applications 2 Physics Letters. A 2 Reports on Mathematical Physics 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Shanghai University 2 Journal of Nonlinear Mathematical Physics 2 East Asian Journal on Applied Mathematics 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Rocky Mountain Journal of Mathematics 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 Electronic Journal of Differential Equations (EJDE) 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 179 Dynamical systems and ergodic theory (37-XX) 86 Partial differential equations (35-XX) 41 Nonassociative rings and algebras (17-XX) 15 Quantum theory (81-XX) 8 Topological groups, Lie groups (22-XX) 6 Difference and functional equations (39-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Optics, electromagnetic theory (78-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year