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## Tu, Guizhang

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 Author ID: tu.guizhang Published as: Tu, Guizhang
 Documents Indexed: 53 Publications since 1979, including 1 Book Reviewing Activity: 32 Reviews
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#### Co-Authors

 35 single-authored 3 Boiti, Marco 3 Laddomada, C. 3 Pempinelli, Flora 3 Qin, Mengzhao 2 Huang, Xuncheng 2 Ragnisco, Orlando 1 Andrushkiw, Roman I. 1 Bruschi, Mario 1 Fuchssteiner, Benno 1 Gu, Chaohao 1 Hou, Boyu 1 Li, Yishen 1 Ma, Wen-Xiu 1 Meng, Dazhi 1 Merola, Immacolata 1 Oevel, Walter 1 Qin, Monzhao 1 Santini, Paolo Maria 1 Xu, Baozhi 1 Zhang, Hongwei
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#### Serials

 5 Journal of Mathematical Physics 5 Journal of Physics A: Mathematical and General 4 Acta Mathematicae Applicatae Sinica. English Series 3 Letters in Mathematical Physics 3 Acta Mathematica Sinica 3 Northeastern Mathematical Journal 2 Acta Mathematicae Applicatae Sinica 2 Physica D 2 Kexue Tongbao 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Arabian Journal for Science and Engineering 1 International Journal of Mathematics and Mathematical Sciences 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series B 1 Advances in Mathematics 1 Science in China. Series A 1 Scientia Sinica. Series A 1 Acta Mathematica Scientia 1 Journal of Partial Differential Equations 1 Chinese Science Bulletin 1 Progress of Theoretical Physics 1 Scientia Sinica
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#### Fields

 39 Partial differential equations (35-XX) 25 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of particles and systems (70-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX)

#### 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
1989
A trace identity and its applications to the theory of discrete integrable systems. Zbl 0717.58027
Tu, Guizhang
1990
On Liouville integrability of zero-curvature equations and the Yang hierarchy. Zbl 0697.58025
Tu, Guizhang
1989
Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure. Zbl 0736.35124
Zhang, Hongwei; Tu, Guizhang; Oevel, Walter; Fuchssteiner, Benno
1991
Integrable symplectic maps. Zbl 0734.58023
Bruschi, M.; Ragnisco, O.; Santini, P. M.; Tu, Guizhang
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.
1991
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II. Zbl 0698.70013
Tu, Guizhang; Meng, Dazhi
1989
A novel hierarchy of integrable lattices. Zbl 0815.35105
Merola, I.; Ragnisco, O.; Tu, Guizhang
1994
The nonlinear evolution equations related to the Wadati-Konno-Ichikawa spectral problem. Zbl 1200.45003
Boiti, M.; Pempinelli, F.; Tu, Guizhang
1983
An algebraic approach for extending Hamiltonian operators. Zbl 0751.58016
Tu, Guizhang; Ma, Wenxiu
1992
An extension of a theorem on gradients of conserved densities of integrable systems. Zbl 0718.58042
Tu, Guizhang
1990
A commutativity theorem of partial differential operators. Zbl 0451.35008
Tu, Guizhang
1980
Bäcklund transformations related to the Kaup-Newell spectral problem. Zbl 0584.35075
1983
A formula for general solutions of homogeneous trinomial recurrences. Zbl 0477.10014
Tu, Guizhang
1981
The invariant groups and conservation laws of nonlinear evolution equations - an approach of symmetric function. Zbl 0452.35052
Tu, Guizhang; Qin, Mengzhao
1981
The Lie algebraic structure of symmetries generated by hereditary symmetries. Zbl 0662.35103
Tu, Guizhang
1988
On a new hierarchy of Hamiltonian soliton equations. Zbl 0525.35077
1983
Infinitesimal canonical transformations of generalised Hamiltonian equations. Zbl 0481.70025
Tu, Guizhang
1982
A combinatorial proof to a bilinear identity. Zbl 0692.35084
Tu, Guizhang
1989
Constrained formal variational calculus and its applications to soliton equations. Zbl 0614.49030
Tu, Guizhang
1986
On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation. Zbl 0486.35006
Tu, Guizhang
1982
On complete integrability of a large class of finite-dimensional Hamiltonian systems. Zbl 0825.34002
Tu, Guizhang
1991
A new hierarchy of integrable systems and its Hamiltonian structure. Zbl 0685.58018
Tu, Guizhang
1989
Bäcklund transformation and conservation laws of Boussinesq equation. Zbl 0481.35074
Tu, Guizhang
1981
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. III. Zbl 0909.70020
Tu, Guizhang; Xu, Baozhi
1996
Liouville integrability of zero curvature equations. Zbl 0728.35122
Tu, Guizhang
1990
On formal variational calculus of higher dimensions. Zbl 0523.49017
Tu, Guizhang
1983
Bäcklund transformations for the Jaulent-Miodek equations. Zbl 0526.35071
1982
On the similarity solution of evolution equation $$u_t=H(x,t,u,u_x,u_{xx},\dots)$$. Zbl 0439.35033
Tu, Guizhang
1980
A Lie algebraic structure of N$$\times N$$ nonisospectral AKNS hierarchy. Zbl 0708.35086
Tu, Guizhang
1988
A realization of an infinite-dimensional Lie algebra. Zbl 0668.17018
Tu, Guizhang
1988
On Liouville integrability of zero curvature equations. Zbl 0825.58016
Tu, Guizhang
1988
A formula relating infinitesimal Bäcklund transformations to hierarchy generating operators. Zbl 0537.35069
Hou, Boyu; Tu, Guizhang
1983
Three basic conservation laws of a class of evolution equations. Zbl 0516.35040
Qin, Mengzhao; Tu, Guizhang
1982
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. III. Zbl 0909.70020
Tu, Guizhang; Xu, Baozhi
1996
A novel hierarchy of integrable lattices. Zbl 0815.35105
Merola, I.; Ragnisco, O.; Tu, Guizhang
1994
An algebraic approach for extending Hamiltonian operators. Zbl 0751.58016
Tu, Guizhang; Ma, Wenxiu
1992
Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure. Zbl 0736.35124
Zhang, Hongwei; Tu, Guizhang; Oevel, Walter; Fuchssteiner, Benno
1991
Integrable symplectic maps. Zbl 0734.58023
Bruschi, M.; Ragnisco, O.; Santini, P. M.; Tu, Guizhang
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.
1991
On complete integrability of a large class of finite-dimensional Hamiltonian systems. Zbl 0825.34002
Tu, Guizhang
1991
A trace identity and its applications to the theory of discrete integrable systems. Zbl 0717.58027
Tu, Guizhang
1990
An extension of a theorem on gradients of conserved densities of integrable systems. Zbl 0718.58042
Tu, Guizhang
1990
Liouville integrability of zero curvature equations. Zbl 0728.35122
Tu, Guizhang
1990
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. Zbl 0678.70015
Tu, Guizhang
1989
On Liouville integrability of zero-curvature equations and the Yang hierarchy. Zbl 0697.58025
Tu, Guizhang
1989
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II. Zbl 0698.70013
Tu, Guizhang; Meng, Dazhi
1989
A combinatorial proof to a bilinear identity. Zbl 0692.35084
Tu, Guizhang
1989
A new hierarchy of integrable systems and its Hamiltonian structure. Zbl 0685.58018
Tu, Guizhang
1989
The Lie algebraic structure of symmetries generated by hereditary symmetries. Zbl 0662.35103
Tu, Guizhang
1988
A Lie algebraic structure of N$$\times N$$ nonisospectral AKNS hierarchy. Zbl 0708.35086
Tu, Guizhang
1988
A realization of an infinite-dimensional Lie algebra. Zbl 0668.17018
Tu, Guizhang
1988
On Liouville integrability of zero curvature equations. Zbl 0825.58016
Tu, Guizhang
1988
Constrained formal variational calculus and its applications to soliton equations. Zbl 0614.49030
Tu, Guizhang
1986
The nonlinear evolution equations related to the Wadati-Konno-Ichikawa spectral problem. Zbl 1200.45003
Boiti, M.; Pempinelli, F.; Tu, Guizhang
1983
Bäcklund transformations related to the Kaup-Newell spectral problem. Zbl 0584.35075
1983
On a new hierarchy of Hamiltonian soliton equations. Zbl 0525.35077
1983
On formal variational calculus of higher dimensions. Zbl 0523.49017
Tu, Guizhang
1983
A formula relating infinitesimal Bäcklund transformations to hierarchy generating operators. Zbl 0537.35069
Hou, Boyu; Tu, Guizhang
1983
Infinitesimal canonical transformations of generalised Hamiltonian equations. Zbl 0481.70025
Tu, Guizhang
1982
On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation. Zbl 0486.35006
Tu, Guizhang
1982
Bäcklund transformations for the Jaulent-Miodek equations. Zbl 0526.35071
1982
Three basic conservation laws of a class of evolution equations. Zbl 0516.35040
Qin, Mengzhao; Tu, Guizhang
1982
A formula for general solutions of homogeneous trinomial recurrences. Zbl 0477.10014
Tu, Guizhang
1981
The invariant groups and conservation laws of nonlinear evolution equations - an approach of symmetric function. Zbl 0452.35052
Tu, Guizhang; Qin, Mengzhao
1981
Bäcklund transformation and conservation laws of Boussinesq equation. Zbl 0481.35074
Tu, Guizhang
1981
A commutativity theorem of partial differential operators. Zbl 0451.35008
Tu, Guizhang
1980
On the similarity solution of evolution equation $$u_t=H(x,t,u,u_x,u_{xx},\dots)$$. Zbl 0439.35033
Tu, Guizhang
1980
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#### 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
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#### 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
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#### Cited in 31 Fields

 420 Dynamical systems and ergodic theory (37-XX) 253 Partial differential equations (35-XX) 56 Nonassociative rings and algebras (17-XX) 45 Difference and functional equations (39-XX) 33 Quantum theory (81-XX) 22 Mechanics of particles and systems (70-XX) 17 Ordinary differential equations (34-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Algebraic geometry (14-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Number theory (11-XX) 9 Topological groups, Lie groups (22-XX) 9 Numerical analysis (65-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Differential geometry (53-XX) 4 Real functions (26-XX) 4 Fluid mechanics (76-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)