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	On properties of hamiltonian structures for a class of evolutionary PDEs
	Liu, Si-Qi ; Wu, Chao-Zhong ; Zhang, Youjin
	2010-05-06 ; 2010-05-06
关键词	Hamiltonian structure quasi-Miura transformation quasi-triviality ANALYTIC LINEARIZATION HYPERBOLIC SYSTEMS CONSERVATION-LAWS HYDRODYNAMIC TYPE QUASI-TRIVIALITY EQUATION PERTURBATIONS DEFORMATIONS OPERATORS Physics, Mathematical
中文摘要	In a recent paper we proved that for certain class of perturbations of the hyperbolic equation u (t) = f (u)u (x) , there exist changes of coordinate, called quasi-Miura transformations, that reduce the perturbed equations to the unperturbed one. We prove in the present paper that if in addition the perturbed equations possess Hamiltonian structures of certain type, the same quasi-Miura transformations also reduce the Hamiltonian structures to their leading terms. By applying this result, we obtain a criterion of the existence of Hamiltonian structures for a class of scalar evolutionary PDEs and an algorithm to find out the Hamiltonian structures.
语种	英语 ; 英语
出版者	SPRINGER ; DORDRECHT ; VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14091]
专题	清华大学
推荐引用方式 GB/T 7714	Liu, Si-Qi,Wu, Chao-Zhong,Zhang, Youjin. On properties of hamiltonian structures for a class of evolutionary PDEs[J],2010, 2010.
APA	Liu, Si-Qi,Wu, Chao-Zhong,&Zhang, Youjin.(2010).On properties of hamiltonian structures for a class of evolutionary PDEs..
MLA	Liu, Si-Qi,et al."On properties of hamiltonian structures for a class of evolutionary PDEs".(2010).

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