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Author ID: guo.fukui Recent zbMATH articles by "Guo, Fukui"
Published as: Guo, Fukui; Guo, Fu-Kui; Guo, Fu Kui
Documents Indexed: 48 Publications since 1982
Co-Authors: 5 Co-Authors with 27 Joint Publications
380 Co-Co-Authors

Publications by Year

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 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

Citations by Year