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Tu, Guizhang

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Author ID: tu.guizhang Recent zbMATH articles by "Tu, Guizhang"
Published as: Tu, Guizhang
Documents Indexed: 53 Publications since 1979, including 1 Book
Reviewing Activity: 32 Reviews

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 708 times in 492 Documents Cited by Year
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. Zbl 0678.70015
Tu, Guizhang
244
1989
A trace identity and its applications to the theory of discrete integrable systems. Zbl 0717.58027
Tu, Guizhang
95
1990
On Liouville integrability of zero-curvature equations and the Yang hierarchy. Zbl 0697.58025
Tu, Guizhang
86
1989
Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure. Zbl 0736.35124
Zhang, Hongwei; Tu, Guizhang; Oevel, Walter; Fuchssteiner, Benno
46
1991
Integrable symplectic maps. Zbl 0734.58023
Bruschi, M.; Ragnisco, O.; Santini, P. M.; Tu, Guizhang
40
1991
A trace identity and its application to integrable systems of \(1+2\) dimensions. Zbl 0737.58027
Tu, Guizhang; Andrushkiw, R. I.; Huang, X. C.
26
1991
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II. Zbl 0698.70013
Tu, Guizhang; Meng, Dazhi
24
1989
A novel hierarchy of integrable lattices. Zbl 0815.35105
Merola, I.; Ragnisco, O.; Tu, Guizhang
21
1994
The nonlinear evolution equations related to the Wadati-Konno-Ichikawa spectral problem. Zbl 1200.45003
Boiti, M.; Pempinelli, F.; Tu, Guizhang
19
1983
An algebraic approach for extending Hamiltonian operators. Zbl 0751.58016
Tu, Guizhang; Ma, Wenxiu
11
1992
An extension of a theorem on gradients of conserved densities of integrable systems. Zbl 0718.58042
Tu, Guizhang
10
1990
A commutativity theorem of partial differential operators. Zbl 0451.35008
Tu, Guizhang
9
1980
Bäcklund transformations related to the Kaup-Newell spectral problem. Zbl 0584.35075
Boiti, M.; Laddomada, C.; Pempinelli, F.; Tu, Guizhang
8
1983
A formula for general solutions of homogeneous trinomial recurrences. Zbl 0477.10014
Tu, Guizhang
7
1981
The invariant groups and conservation laws of nonlinear evolution equations - an approach of symmetric function. Zbl 0452.35052
Tu, Guizhang; Qin, Mengzhao
7
1981
The Lie algebraic structure of symmetries generated by hereditary symmetries. Zbl 0662.35103
Tu, Guizhang
6
1988
On a new hierarchy of Hamiltonian soliton equations. Zbl 0525.35077
Boiti, M.; Laddomada, C.; Pempinelli, F.; Tu, Guizhang
6
1983
Infinitesimal canonical transformations of generalised Hamiltonian equations. Zbl 0481.70025
Tu, Guizhang
6
1982
A combinatorial proof to a bilinear identity. Zbl 0692.35084
Tu, Guizhang
5
1989
Constrained formal variational calculus and its applications to soliton equations. Zbl 0614.49030
Tu, Guizhang
4
1986
On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation. Zbl 0486.35006
Tu, Guizhang
4
1982
On complete integrability of a large class of finite-dimensional Hamiltonian systems. Zbl 0825.34002
Tu, Guizhang
3
1991
A new hierarchy of integrable systems and its Hamiltonian structure. Zbl 0685.58018
Tu, Guizhang
3
1989
Bäcklund transformation and conservation laws of Boussinesq equation. Zbl 0481.35074
Tu, Guizhang
3
1981
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. III. Zbl 0909.70020
Tu, Guizhang; Xu, Baozhi
2
1996
Liouville integrability of zero curvature equations. Zbl 0728.35122
Tu, Guizhang
2
1990
On formal variational calculus of higher dimensions. Zbl 0523.49017
Tu, Guizhang
2
1983
Bäcklund transformations for the Jaulent-Miodek equations. Zbl 0526.35071
Laddomada, C.; Tu, Guizhang
2
1982
On the similarity solution of evolution equation \(u_t=H(x,t,u,u_x,u_{xx},\dots)\). Zbl 0439.35033
Tu, Guizhang
2
1980
A Lie algebraic structure of N\(\times N\) nonisospectral AKNS hierarchy. Zbl 0708.35086
Tu, Guizhang
1
1988
A realization of an infinite-dimensional Lie algebra. Zbl 0668.17018
Tu, Guizhang
1
1988
On Liouville integrability of zero curvature equations. Zbl 0825.58016
Tu, Guizhang
1
1988
A formula relating infinitesimal Bäcklund transformations to hierarchy generating operators. Zbl 0537.35069
Hou, Boyu; Tu, Guizhang
1
1983
Three basic conservation laws of a class of evolution equations. Zbl 0516.35040
Qin, Mengzhao; Tu, Guizhang
1
1982
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. III. Zbl 0909.70020
Tu, Guizhang; Xu, Baozhi
2
1996
A novel hierarchy of integrable lattices. Zbl 0815.35105
Merola, I.; Ragnisco, O.; Tu, Guizhang
21
1994
An algebraic approach for extending Hamiltonian operators. Zbl 0751.58016
Tu, Guizhang; Ma, Wenxiu
11
1992
Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure. Zbl 0736.35124
Zhang, Hongwei; Tu, Guizhang; Oevel, Walter; Fuchssteiner, Benno
46
1991
Integrable symplectic maps. Zbl 0734.58023
Bruschi, M.; Ragnisco, O.; Santini, P. M.; Tu, Guizhang
40
1991
A trace identity and its application to integrable systems of \(1+2\) dimensions. Zbl 0737.58027
Tu, Guizhang; Andrushkiw, R. I.; Huang, X. C.
26
1991
On complete integrability of a large class of finite-dimensional Hamiltonian systems. Zbl 0825.34002
Tu, Guizhang
3
1991
A trace identity and its applications to the theory of discrete integrable systems. Zbl 0717.58027
Tu, Guizhang
95
1990
An extension of a theorem on gradients of conserved densities of integrable systems. Zbl 0718.58042
Tu, Guizhang
10
1990
Liouville integrability of zero curvature equations. Zbl 0728.35122
Tu, Guizhang
2
1990
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. Zbl 0678.70015
Tu, Guizhang
244
1989
On Liouville integrability of zero-curvature equations and the Yang hierarchy. Zbl 0697.58025
Tu, Guizhang
86
1989
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II. Zbl 0698.70013
Tu, Guizhang; Meng, Dazhi
24
1989
A combinatorial proof to a bilinear identity. Zbl 0692.35084
Tu, Guizhang
5
1989
A new hierarchy of integrable systems and its Hamiltonian structure. Zbl 0685.58018
Tu, Guizhang
3
1989
The Lie algebraic structure of symmetries generated by hereditary symmetries. Zbl 0662.35103
Tu, Guizhang
6
1988
A Lie algebraic structure of N\(\times N\) nonisospectral AKNS hierarchy. Zbl 0708.35086
Tu, Guizhang
1
1988
A realization of an infinite-dimensional Lie algebra. Zbl 0668.17018
Tu, Guizhang
1
1988
On Liouville integrability of zero curvature equations. Zbl 0825.58016
Tu, Guizhang
1
1988
Constrained formal variational calculus and its applications to soliton equations. Zbl 0614.49030
Tu, Guizhang
4
1986
The nonlinear evolution equations related to the Wadati-Konno-Ichikawa spectral problem. Zbl 1200.45003
Boiti, M.; Pempinelli, F.; Tu, Guizhang
19
1983
Bäcklund transformations related to the Kaup-Newell spectral problem. Zbl 0584.35075
Boiti, M.; Laddomada, C.; Pempinelli, F.; Tu, Guizhang
8
1983
On a new hierarchy of Hamiltonian soliton equations. Zbl 0525.35077
Boiti, M.; Laddomada, C.; Pempinelli, F.; Tu, Guizhang
6
1983
On formal variational calculus of higher dimensions. Zbl 0523.49017
Tu, Guizhang
2
1983
A formula relating infinitesimal Bäcklund transformations to hierarchy generating operators. Zbl 0537.35069
Hou, Boyu; Tu, Guizhang
1
1983
Infinitesimal canonical transformations of generalised Hamiltonian equations. Zbl 0481.70025
Tu, Guizhang
6
1982
On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation. Zbl 0486.35006
Tu, Guizhang
4
1982
Bäcklund transformations for the Jaulent-Miodek equations. Zbl 0526.35071
Laddomada, C.; Tu, Guizhang
2
1982
Three basic conservation laws of a class of evolution equations. Zbl 0516.35040
Qin, Mengzhao; Tu, Guizhang
1
1982
A formula for general solutions of homogeneous trinomial recurrences. Zbl 0477.10014
Tu, Guizhang
7
1981
The invariant groups and conservation laws of nonlinear evolution equations - an approach of symmetric function. Zbl 0452.35052
Tu, Guizhang; Qin, Mengzhao
7
1981
Bäcklund transformation and conservation laws of Boussinesq equation. Zbl 0481.35074
Tu, Guizhang
3
1981
A commutativity theorem of partial differential operators. Zbl 0451.35008
Tu, Guizhang
9
1980
On the similarity solution of evolution equation \(u_t=H(x,t,u,u_x,u_{xx},\dots)\). Zbl 0439.35033
Tu, Guizhang
2
1980
all top 5

Cited by 393 Authors

56 Zhang, Yufeng
51 Ma, Wen-Xiu
41 Dong, Huanhe
29 Xu, Xixiang
22 Xia, Tie-Cheng
19 Geng, Xianguo
19 Yu, Fajun
18 Tam, Honwah
15 Fan, Engui
12 Li, Zhu
11 Tu, Guizhang
10 Chen, Jinbing
10 Guo, Fukui
10 Sahadevan, Ramajayam
10 Yang, Hongxiang
9 Shen, Shoufeng
9 Wen, Xiaoyong
9 Zhang, Hongqing
9 Zhao, Qiulan
8 Chen, Dengyuan
8 Qiao, Zhijun
8 Sun, Yepeng
8 Wang, Jingping
7 Chen, Liangyun
7 He, Baiying
7 Li, Xinyue
7 Yang, Hongwei
7 Yu, Changan
6 Wei, Hanyu
6 Yan, Zhenya
6 Yin, Baoshu
6 Zeng, Yunbo
6 Zhou, Ruguang
5 Boiti, Marco
5 Ding, Haiyong
5 Feng, Binlu
5 Fuchssteiner, Benno
5 Li, Li
5 Li, Yuqing
5 Li, Yuxia
5 Wang, Hui
5 Xue, Bo
5 Yao, Yuqin
5 Zhang, Ning
4 Capel, Hans W.
4 Guo, Xiurong
4 He, Jingsong
4 Hu, Xingbiao
4 Jin, Yongyang
4 Li, Ling
4 McAnally, Morgan
4 Nijhoff, Frank W.
4 Pempinelli, Flora
4 Quispel, Gilles Reinout Willem
4 Sanders, Jan A.
4 Vakhnenko, Oleksiy O.
4 Wang, Xiangrong
4 Wang, Xinzeng
4 Yamilov, Ravil Islamovich
4 Yan, Qingyou
4 Zhang, Dajun
3 Andrushkiw, Roman I.
3 He, Guoliang
3 Hon, Yiu-Chung
3 Huang, Xuncheng
3 Ji, Jie
3 Kassotakis, Pavlos G.
3 Leon, Jérôme J. P.
3 Li, Chunxia
3 Liu, Hanze
3 Liu, Yuqing
3 Manukure, Solomon
3 Mei, Jianqin
3 Prykarpatsky, Anatoliy Karolevych
3 Samoĭlenko, Valeriĭ Grygorovych
3 Suris, Yuri Borisovich
3 Tamizhmani, K. M.
3 van der Kamp, Peter H.
3 Wang, Dengshan
3 Wang, Guangming
3 Wei, Jiao
3 Wu, Yongtang
3 Xu, Xiuli
3 You, Fucai
3 Yu, Jing
3 Yu, Shuimeng
3 Yue, Chao
3 Zeng, Xin
3 Zhang, Xiaoen
3 Zhang, Yujuan
3 Zhaqilao, Z.
3 Zhu, Junyi
2 Abellanas, Lorenzo
2 Błaszak, Maciej
2 Cao, Weili
2 Cao, Yan
2 Carroll, Robert L.
2 Chang, Hui
2 Chang, Xiangke
2 Chao, Yue
...and 293 more Authors
all top 5

Cited in 92 Serials

84 Journal of Mathematical Physics
42 Chaos, Solitons and Fractals
36 Communications in Nonlinear Science and Numerical Simulation
35 Applied Mathematics and Computation
22 Modern Physics Letters B
16 International Journal of Modern Physics B
15 International Journal of Theoretical Physics
11 Journal of Mathematical Analysis and Applications
11 Advances in Mathematical Physics
10 Reports on Mathematical Physics
10 Journal of Nonlinear Mathematical Physics
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Acta Mathematicae Applicatae Sinica. English Series
8 Abstract and Applied Analysis
7 Wuhan University Journal of Natural Sciences (WUJNS)
6 Letters in Mathematical Physics
6 Journal of Geometry and Physics
6 Advances in Difference Equations
6 Journal of Physics A: Mathematical and Theoretical
5 Studies in Applied Mathematics
5 Applied Mathematics and Mechanics. (English Edition)
4 Computers & Mathematics with Applications
4 Mathematical Methods in the Applied Sciences
4 Physica A
4 Physics Letters. A
4 Theoretical and Mathematical Physics
4 Reviews in Mathematical Physics
4 Nonlinear Dynamics
4 Journal of Shanghai University
3 Applicable Analysis
3 Communications in Mathematical Physics
3 Physica D
3 Applied Mathematics Letters
3 Applied Mathematics. Series B (English Edition)
3 Mathematical Physics, Analysis and Geometry
3 Nonlinear Analysis. Real World Applications
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Frontiers of Mathematics in China
3 Communications in Theoretical Physics
3 Analysis and Mathematical Physics
2 Nonlinearity
2 Nuclear Physics. B
2 Wave Motion
2 Journal of Differential Equations
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Acta Mathematica Sinica. New Series
2 Mathematical Problems in Engineering
2 Chaos
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Discrete Dynamics in Nature and Society
2 Journal of Applied Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 International Journal of Geometric Methods in Modern Physics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Modern Physics A
1 Computer Physics Communications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reviews of Modern Physics
1 Ukrainian Mathematical Journal
1 Advances in Mathematics
1 BIT
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Chinese Annals of Mathematics. Series B
1 Mathematical and Computer Modelling
1 SIAM Journal on Discrete Mathematics
1 Science in China. Series A
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 Journal of Nonlinear Science
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Selecta Mathematica. New Series
1 Regular and Chaotic Dynamics
1 Acta Mathematica Sinica. English Series
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Physical Review Letters
1 The ANZIAM Journal
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics and Computing
1 Journal of Zhejiang University. Science A
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Nonlinear Science and Applications
1 Symmetry
1 Journal of Applied Analysis and Computation
1 Journal of Computational Dynamics
1 East Asian Journal on Applied Mathematics
1 Open Mathematics

Citations by Year