Edit Profile (opens in new tab) Guo, Fukui Compute Distance To: Compute Author ID: guo.fukui Published as: Guo, Fukui; Guo, Fu-Kui; Guo, Fu Kui more...less Documents Indexed: 47 Publications since 1982 Co-Authors: 5 Co-Authors with 27 Joint Publications 361 Co-Co-Authors all top 5 Co-Authors 16 single-authored 24 Zhang, Yufeng 3 Yan, Qingyou 1 Agadjanov, D. 1 Dong, Huanhe 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 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 Mathematica Applicata 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) 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 313 times in 182 Documents Cited by ▼ Year ▼ The quadratic-form identity for constructing the Hamiltonian structure of integrable systems. Zbl 1077.37045Guo, Fukui; Zhang, Yufeng 86 2005 A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling. Zbl 1063.37068Guo, Fukui; Zhang, Yufeng 59 2003 A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system. Zbl 1057.37059Guo, Fukui; Zhang, Yufeng 22 2004 The integrable coupling of the AKNS hierarchy and its Hamiltonian structure. Zbl 1134.37030Guo, Fukui; Zhang, Yufeng 16 2007 Subalgebras of the loop algebra \(\tilde A_1\) and integrable Hamiltonian hierarchies of equations. Zbl 0953.35136Guo, Fukui 14 1999 A family of expanding integrable models of the AKNS hierarchy of equations. Zbl 1202.37084Guo, Fu Kui; Zhang, Yu Feng 14 2002 Two unified formulae. Zbl 1203.37105Guo, 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 1130.37035Zhang, Yufeng; Guo, Fukui 13 2007 A hierarchy of integrable Hamiltonian equations. Zbl 1071.37514Guo, Fukui 11 2000 NLS-MKdV Hierarchy of equations that are integrable and in the Hamiltonian forms. Zbl 0903.35059Guo, Fukui 9 1997 New simple method for obtaining integrable hierarchies of soliton equations with multicomponent potential functions. Zbl 1062.37069Guo, Fukui; Zhang, Yufeng; Yan, Qingyou 9 2004 Lax representations and zero-curvature representations by the Kronecker product. Zbl 0946.37032Ma, Wenxiu; Guo, Fukui 7 1997 Expansion of the Lie algebra and its applications. Zbl 1085.37051Guo, Fukui; Zhang, Yufeng 6 2006 Invertible linear transformations and the Lie algebras. Zbl 1221.37147Zhang, Yufeng; Tam, Honwah; Guo, Fukui 6 2008 A type of new loop algebra and a generalized Tu formula. Zbl 1175.81126Guo, Fu-Kui; Zhang, Yu-Feng 4 2009 A new loop algebra and its subalgebras. Zbl 1055.37068Guo, Fukui; Zhang, Yufeng 4 2004 The computational formula on the constant \(\gamma\) appeared in the equivalently used trace identity and quadratic-form identity. Zbl 1146.37353Guo, Fukui; Zhang, Yufeng 4 2008 A stochastic micromechanical model for multiphase composites containing spherical inhomogeneities. Zbl 1317.74073Chen, Q.; Zhu, H. H.; Ju, J. W.; Guo, F.; Wang, L. B.; Yan, Z. G.; Deng, T.; Zhou, S. 4 2015 Three new integrable hierarchies of equations. Zbl 1267.37073Guo, Fu-Kui 3 2007 Two hierarchies of integrable Hamiltonian equations. Zbl 0941.35087Guo, Fukui 2 1996 A new loop algebra and corresponding computing formula of constant \(\gamma\) in quadratic-form identity. Zbl 1355.37084Guo, Fu-Kui; Dong, Huan-He 2 2007 A type of soliton hierarchy and its multi-Hamiltonian structures. Zbl 1387.35517Guo, Fukui; Zhang, Yufeng 2 2004 An extended trace identity and applications. Zbl 1172.70009Guo, Fukui; Zhang, Yufeng 2 2008 A variant of Lax representations and Lax representations of Hamiltonian hierarchies. Zbl 0811.58025Guo, Fukui 1 1994 A simple approach to negating the Hirota condition. Zbl 0728.35097Guo, Fukui 1 1991 A generalized AKNS hierarchy of equations. Zbl 1136.37351Guo, Fukui 1 2002 Integrable couplings and Hamiltonian structure of AKNS-KN soliton-equation hierarchy. Zbl 1174.35100Zhang, Yufeng; Guo, Fukui 1 2008 Maximum entropy-based stochastic micromechanical model for a two-phase composite considering the inter-particle interaction effect. Zbl 1321.74079Zhu, 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 1223.81120Guo, Fu-Kui; Zhang, Yu-Feng 1 2011 A stochastic micromechanical model for multiphase composites containing spherical inhomogeneities. Zbl 1317.74073Chen, 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 1321.74079Zhu, 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 1223.81120Guo, Fu-Kui; Zhang, Yu-Feng 1 2011 A type of new loop algebra and a generalized Tu formula. Zbl 1175.81126Guo, Fu-Kui; Zhang, Yu-Feng 4 2009 Invertible linear transformations and the Lie algebras. Zbl 1221.37147Zhang, Yufeng; Tam, Honwah; Guo, Fukui 6 2008 The computational formula on the constant \(\gamma\) appeared in the equivalently used trace identity and quadratic-form identity. Zbl 1146.37353Guo, Fukui; Zhang, Yufeng 4 2008 An extended trace identity and applications. Zbl 1172.70009Guo, Fukui; Zhang, Yufeng 2 2008 Integrable couplings and Hamiltonian structure of AKNS-KN soliton-equation hierarchy. Zbl 1174.35100Zhang, Yufeng; Guo, Fukui 1 2008 The integrable coupling of the AKNS hierarchy and its Hamiltonian structure. Zbl 1134.37030Guo, Fukui; Zhang, Yufeng 16 2007 Two unified formulae. Zbl 1203.37105Guo, 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 1130.37035Zhang, Yufeng; Guo, Fukui 13 2007 Three new integrable hierarchies of equations. Zbl 1267.37073Guo, Fu-Kui 3 2007 A new loop algebra and corresponding computing formula of constant \(\gamma\) in quadratic-form identity. Zbl 1355.37084Guo, Fu-Kui; Dong, Huan-He 2 2007 Expansion of the Lie algebra and its applications. Zbl 1085.37051Guo, Fukui; Zhang, Yufeng 6 2006 The quadratic-form identity for constructing the Hamiltonian structure of integrable systems. Zbl 1077.37045Guo, Fukui; Zhang, Yufeng 86 2005 A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system. Zbl 1057.37059Guo, Fukui; Zhang, Yufeng 22 2004 New simple method for obtaining integrable hierarchies of soliton equations with multicomponent potential functions. Zbl 1062.37069Guo, Fukui; Zhang, Yufeng; Yan, Qingyou 9 2004 A new loop algebra and its subalgebras. Zbl 1055.37068Guo, Fukui; Zhang, Yufeng 4 2004 A type of soliton hierarchy and its multi-Hamiltonian structures. Zbl 1387.35517Guo, Fukui; Zhang, Yufeng 2 2004 A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling. Zbl 1063.37068Guo, Fukui; Zhang, Yufeng 59 2003 A family of expanding integrable models of the AKNS hierarchy of equations. Zbl 1202.37084Guo, Fu Kui; Zhang, Yu Feng 14 2002 A generalized AKNS hierarchy of equations. Zbl 1136.37351Guo, Fukui 1 2002 A hierarchy of integrable Hamiltonian equations. Zbl 1071.37514Guo, Fukui 11 2000 Subalgebras of the loop algebra \(\tilde A_1\) and integrable Hamiltonian hierarchies of equations. Zbl 0953.35136Guo, Fukui 14 1999 NLS-MKdV Hierarchy of equations that are integrable and in the Hamiltonian forms. Zbl 0903.35059Guo, Fukui 9 1997 Lax representations and zero-curvature representations by the Kronecker product. Zbl 0946.37032Ma, Wenxiu; Guo, Fukui 7 1997 Two hierarchies of integrable Hamiltonian equations. Zbl 0941.35087Guo, Fukui 2 1996 A variant of Lax representations and Lax representations of Hamiltonian hierarchies. Zbl 0811.58025Guo, Fukui 1 1994 A simple approach to negating the Hirota condition. Zbl 0728.35097Guo, Fukui 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 141 Authors 50 Zhang, Yufeng 31 Dong, Huanhe 20 Ma, Wen-Xiu 18 Tam, Hon-Wah 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 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 Li, Ling 2 Li, Xinyue 2 Li, Yan 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, Ning 2 Zhaqilao, Z. 2 Zhu, Haiyan 1 Chang, Jincai 1 Chang, Shuangling 1 Chen, Hongye 1 Chen, Yong 1 Cheng, Hongbiao 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 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 Sun, Bing ...and 41 more Authors all top 5 Cited in 37 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 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 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Shanghai University 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 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 174 Dynamical systems and ergodic theory (37-XX) 83 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) 3 Real functions (26-XX) 2 Linear and multilinear algebra; matrix theory (15-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) Citations by Year