Multi-symplectic Birkhoffian structure for PDEs with dissipation terms

doi:10.1016/j.physleta.2010.04.011

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	Multi-symplectic Birkhoffian structure for PDEs with dissipation terms
	Su, Hongling 1; Qin, Mengzhao 2; Wang, Yushun 3; Scherer, Rudolf 4
	2010-05-17
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	374 期号:24 页码:2410-2416
摘要	A generalization of the multi-symplectic form for Hamiltonian systems to self-adjoint systems with dissipation terms is studied. These systems can be expressed as multi-symplectic Birkhoffian equations, which leads to a natural definition of Birkhoffian multi-symplectic structure. The concept of Birkhoffian multi-symplectic integrators for Birkhoffian PDEs is investigated. The Birkhoffian multi-symplectic structure is constructed by the continuous variational principle, and the Birkhoffian multi-symplectic integrator by the discrete variational principle. As an example, two Birkhoffian multi-symplectic integrators for the equation describing a linear damped string are given. (C) 2010 Published by Elsevier B.V.
关键词	Self-adjoint system PDEs with dissipation term Birkhoffian structure Birkhoffian multi-symplectic integrator Conservation of multi-symplecticity Discrete variational principle
DOI	10.1016/j.physleta.2010.04.011
语种	英语
资助项目	NSFC[10701081] ; NSFC[10871099] ; National 863 Plan of China[2006AA09A102-08] ; National Basic Research Program of China[2007CB209603]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000278284000003
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11153
专题	中国科学院数学与系统科学研究院
通讯作者	Su, Hongling
作者单位	1.Renmin Univ China, Dept Math, Beijing 100872, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China 4.Karlsruhe Inst Technol, Inst Appl & Numer Math, D-76128 Karlsruhe, Germany
推荐引用方式 GB/T 7714	Su, Hongling,Qin, Mengzhao,Wang, Yushun,et al. Multi-symplectic Birkhoffian structure for PDEs with dissipation terms[J]. PHYSICS LETTERS A,2010,374(24):2410-2416.
APA	Su, Hongling,Qin, Mengzhao,Wang, Yushun,&Scherer, Rudolf.(2010).Multi-symplectic Birkhoffian structure for PDEs with dissipation terms.PHYSICS LETTERS A,374(24),2410-2416.
MLA	Su, Hongling,et al."Multi-symplectic Birkhoffian structure for PDEs with dissipation terms".PHYSICS LETTERS A 374.24(2010):2410-2416.