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	The quadratic-form identity for constructing the Hamiltonian structures of the discrete integrable systems
	Yao, Yuqin ; Ji, Jie ; Chen, Dengyuan ; Zeng, Yunbo
	2010-05-06 ; 2010-05-06
关键词	Discrete quadratic-form identity Hamiltonian structure Integrable couplings Toda hierarchy Liouville integrability R-MATRIX GEOMETRIC SOLUTION SEMIDIRECT SUMS TRACE IDENTITY TODA LATTICE LIE-ALGEBRAS HIERARCHY COUPLINGS EQUATIONS Computer Science, Interdisciplinary Applications Mathematics, Applied
中文摘要	The quadratic-form identity is extended to the discrete version which can be used to construct the Hamiltonian structures of the discrete integrable systems associated with the Lie algebra possessing degenerate Killing forms. Especially, it can be used to work out the Hamiltonian structures of some kinds of discrete integrable couplings. Then a kind of integrable coupling of the Toda hierarchy is obtained and its Hamiltonian structure is worked out by using the discrete quadratic-form identity. Moreover, the Liouville integrability of the integrable coupling is demonstrated. (C) 2008 Elsevier Ltd. All rights reserved.
语种	英语 ; 英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13766]
专题	清华大学
推荐引用方式 GB/T 7714	Yao, Yuqin,Ji, Jie,Chen, Dengyuan,et al. The quadratic-form identity for constructing the Hamiltonian structures of the discrete integrable systems[J],2010, 2010.
APA	Yao, Yuqin,Ji, Jie,Chen, Dengyuan,&Zeng, Yunbo.(2010).The quadratic-form identity for constructing the Hamiltonian structures of the discrete integrable systems..
MLA	Yao, Yuqin,et al."The quadratic-form identity for constructing the Hamiltonian structures of the discrete integrable systems".(2010).

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