New conservation schemes for the nonlinear Schrodinger equation

doi:10.1016/j.amc.2005.11.021

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	New conservation schemes for the nonlinear Schrodinger equation
	Sun, Jan-Qiang ; Ma, Zhong-Qi ; Hua, Wei ; Qin, Meng-Zhao
	2006-06-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	177 期号:1 页码:446-451
摘要	New explicit square-conservation schemes of any order for the nonlinear Schrodinger equation are presented. The basic idea is to discrete the space variable of the nonlinear Schrodinger equation approximately so that the resulting semi-discrete equation can be cast into an ordinary differential equation (dY)/(dt) = A(t, R)Y, A(t, Y) is a skew symmetry matrix. Then the Lie group methods, which can preserve the modulus square-conservation property of the ordinary differential equation, are applied to the ordinary differential equation. Numerical results show the effective of the Lie group method preserving the modulus square-conservation of the discrete nonlinear Schrodinger equation. (c) 2005 Elsevier Inc. All rights reserved.
关键词	Lie group methods nonlinear Schrodinger equation Cayley transform square-conservation scheme
DOI	10.1016/j.amc.2005.11.021
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000238935900043
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2588
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Jan-Qiang
作者单位	1.Inst High Energy Phys, Beijing 100049, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 3.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sun, Jan-Qiang,Ma, Zhong-Qi,Hua, Wei,et al. New conservation schemes for the nonlinear Schrodinger equation[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,177(1):446-451.
APA	Sun, Jan-Qiang,Ma, Zhong-Qi,Hua, Wei,&Qin, Meng-Zhao.(2006).New conservation schemes for the nonlinear Schrodinger equation.APPLIED MATHEMATICS AND COMPUTATION,177(1),446-451.
MLA	Sun, Jan-Qiang,et al."New conservation schemes for the nonlinear Schrodinger equation".APPLIED MATHEMATICS AND COMPUTATION 177.1(2006):446-451.