Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation

doi:10.1016/j.cpc.2010.11.003

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation
	Zhu, Huajun 1; Song, Songhe 1; Tang, Yifa2
刊名	COMPUTER PHYSICS COMMUNICATIONS
	2011-03-01
卷号	182 期号:3 页码:616-627
关键词	Multi-symplectic Wavelet collocation method Nonlinear Schrodinger equation Camassa-Holm equation
ISSN号	0010-4655
DOI	10.1016/j.cpc.2010.11.003
英文摘要	In this paper, we develop a novel multi-symplectic wavelet collocation method for solving multi-symplectic Hamiltonian system with periodic boundary conditions. Based on the autocorrelation function of Daubechies scaling functions, collocation method is conducted for the spatial discretization. The obtained semi-discrete system is proved to have semi-discrete multi-symplectic conservation laws and semi-discrete energy conservation laws. Then, appropriate symplectic scheme is applied for time integration, which leads to full-discrete multi-symplectic conservation laws. Numerical experiments for the nonlinear Schrodinger equation and Camassa-Holm equation show the high accuracy, effectiveness and good conservation properties of the proposed method. (C) 2010 Elsevier B.V. All rights reserved.
资助项目	Natural Science Foundation of China[10471145] ; Natural Science Foundation of China[10971226] ; Natural Science Foundation of China[11001270] ; Natural Science Foundation of China[10672143] ; Natural Science Foundation of China[10872037] ; Natural Science Foundation of China[60931002] ; 973 Project of China[2009CB723802-4]
WOS研究方向	Computer Science ; Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000287432200008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/11647]
专题	计算数学与科学工程计算研究所
通讯作者	Zhu, Huajun
作者单位	1.Natl Univ Def Technol, Sch Sci, Dept Math & Syst Sci, Changsha 410073, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Huajun,Song, Songhe,Tang, Yifa. Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation[J]. COMPUTER PHYSICS COMMUNICATIONS,2011,182(3):616-627.
APA	Zhu, Huajun,Song, Songhe,&Tang, Yifa.(2011).Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation.COMPUTER PHYSICS COMMUNICATIONS,182(3),616-627.
MLA	Zhu, Huajun,et al."Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation".COMPUTER PHYSICS COMMUNICATIONS 182.3(2011):616-627.