×
Compute Distance To:
Author ID: guo.fukui Recent zbMATH articles by "Guo, Fukui"
Published as: Guo, Fukui; Guo, Fu-Kui; Guo, Fu Kui
Documents Indexed: 46 Publications since 1982
Co-Authors: 5 Co-Authors with 27 Joint Publications
323 Co-Co-Authors

Publications by Year

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
85
2005
A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling. Zbl 1063.37068
Guo, Fukui; Zhang, Yufeng
58
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
The integrable coupling of the AKNS hierarchy and its Hamiltonian structure. Zbl 1134.37030
Guo, Fukui; Zhang, Yufeng
16
2007
A family of expanding integrable models of the AKNS hierarchy of equations. Zbl 1202.37084
Guo, Fu Kui; Zhang, Yu Feng
14
2002
Subalgebras of the loop algebra \(\tilde A_1\) and integrable Hamiltonian hierarchies of equations. Zbl 0953.35136
Guo, Fukui
14
1999
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
12
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
8
1997
New simple method for obtaining integrable hierarchies of soliton equations with multicomponent potential functions. Zbl 1062.37069
Guo, Fukui; Zhang, Yufeng; Yan, Qingyou
8
2004
Lax representations and zero-curvature representations by the Kronecker product. Zbl 0946.37032
Ma, Wenxiu; Guo, Fukui
7
1997
Expansion of the Lie algebra and its applications. Zbl 1085.37051
Guo, Fukui; Zhang, Yufeng
6
2006
Invertible linear transformations and the Lie algebras. Zbl 1221.37147
Zhang, Yufeng; Tam, Honwah; Guo, Fukui
5
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
A type of new loop algebra and a generalized Tu formula. Zbl 1175.81126
Guo, Fu-Kui; Zhang, Yu-Feng
4
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
Three new integrable hierarchies of equations. Zbl 1267.37073
Guo, Fu-Kui
3
2007
An extended trace identity and applications. Zbl 1172.70009
Guo, Fukui; Zhang, Yufeng
2
2008
Two hierarchies of integrable Hamiltonian equations. Zbl 0941.35087
Guo, Fukui
2
1996
A type of soliton hierarchy and its multi-Hamiltonian structures. Zbl 1387.35517
Guo, Fukui; Zhang, Yufeng
2
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
2
2007
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
A simple approach to negating the Hirota condition. Zbl 0728.35097
Guo, Fukui
1
1991
Integrable couplings and Hamiltonian structure of AKNS-KN soliton-equation hierarchy. Zbl 1174.35100
Zhang, Yufeng; Guo, Fukui
1
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.
1
2015
Double integrable couplings and their constructing method. Zbl 1223.81120
Guo, Fu-Kui; Zhang, Yu-Feng
1
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.
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
4
2009
Invertible linear transformations and the Lie algebras. Zbl 1221.37147
Zhang, Yufeng; Tam, Honwah; Guo, Fukui
5
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
12
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
85
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
8
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
A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling. Zbl 1063.37068
Guo, Fukui; Zhang, Yufeng
58
2003
A family of expanding integrable models of the AKNS hierarchy of equations. Zbl 1202.37084
Guo, Fu Kui; Zhang, Yu Feng
14
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
14
1999
NLS-MKdV Hierarchy of equations that are integrable and in the Hamiltonian forms. Zbl 0903.35059
Guo, Fukui
8
1997
Lax representations and zero-curvature representations by the Kronecker product. Zbl 0946.37032
Ma, Wenxiu; Guo, Fukui
7
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 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

Citations by Year