The quadratic-form identity for constructing the Hamiltonian structure of integrable systems

Journal of Physics A: Mathematical and General

Volumn 38, Issue 40, 2005, Pages 8537-8548

  Guo, Fukui ^a   Zhang, Yufeng ^a,b  

^a SHANDONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b LIAONING NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 25444488023     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/40/005     Document Type: Article

References (8)

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2. G Tu 1989 The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems J. Math. Phys. 30 330-8
3. G Tu, Andrushkiw R I and Huang X C 1991 A trace identity and its application to integrable systems of 1+2 dimensions J. Math. Phys. 32 1900-7
4. Fussteiner B 1993 Coupling of completely integrable system: the perturbation bundle Applications of Analytic and Geometric Methods to Nonlinear Differential Equations ed P A Clarkson (Dordrecht: Kluwer) p 125
5. Ma W 2000 Integrable couplings of soliton equations by perturbation: I. A general theory and application to the KdV equation Methods Appl. Anal. 7 21-56
6. Guo F and Zhang Y 2002 A type of expanding integrable model of the AKNS hierarchy Acta Phys. Sin. 51 951-4
7. Guo F and Zhang Y 2004 A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system Chaos Solitons Fractals 19 1207-16
8. Guo F and Zhang Y 2003 A new loop algebra and a corresponding integrable coupling, as well as its integrable coupling J. Math. Phys. 44 5793-803