Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves

doi:10.1016/j.mcm2003.07.012

	Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves
	Hong, JL; Liu, Y
	2004-05-01
发表期刊	MATHEMATICAL AND COMPUTER MODELLING
ISSN	0895-7177
卷号	39 期号:9-10 页码:1035-1047
摘要	y=Abstract-In this paper, the multisymplectic integrator for a class of Hamiltonian PDEs depending explicitly on time and spatial variables (nonautonomous Hamiltonian PDEs) is defined, and the multisymplecticity of the centred box scheme for this kind of Hamiltonian PDEs is proven. We give an application of the result to (periodic) quasi-periodic variable coefficient Korteweg-de Vries (qpKdV) equation, which is known to have a physical application in the propagation of surface waves in straits or channels with quasi-periodic varying depth and width in the time direction. We derive a multisymplectic scheme for a qpKdV equation in terms of the multisymplecticity of the centred box scheme, then make use of it to simulate numerically the (periodically) quasi-periodically solitary wave of the equation. Numerical experiments are presented in illustration of the multisymplectic scheme of qpKdV equation stemming the centred box discretization. (C) 2004 Elsevier Ltd. All rights reserved.
关键词	multisymplecticity centred box scheme quasi-periodic KdV equation Hamiltonian PDEs nonautonomous quasi-periodically solitary wave
DOI	10.1016/j.mcm2003.07.012
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000222144500007
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/525
专题	计算数学与科学工程计算研究所
通讯作者	Hong, JL
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Hong, JL,Liu, Y. Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves[J]. MATHEMATICAL AND COMPUTER MODELLING,2004,39(9-10):1035-1047.
APA	Hong, JL,&Liu, Y.(2004).Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves.MATHEMATICAL AND COMPUTER MODELLING,39(9-10),1035-1047.
MLA	Hong, JL,et al."Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves".MATHEMATICAL AND COMPUTER MODELLING 39.9-10(2004):1035-1047.