New conservation schemes for the nonlinear Schrodinger equation

	New conservation schemes for the nonlinear Schrodinger equation
	Sun JQ(孙建强); Ma ZQ(马中骐); Sun, JQ; Ma, ZQ; Hua, W; Qin, MZ
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2006
卷号	177 期号:1 页码:446-451
关键词	Lie group methods nonlinear Schrodinger equation Cayley transform square-conservation scheme
通讯作者	Inst High Energy Phys, Beijing 100049, Peoples R China ; Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China ; Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
英文摘要	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.
学科主题	Mathematics
类目[WOS]	Mathematics, Applied
研究领域[WOS]	Mathematics
原文出处	SCI
语种	英语
WOS记录号	WOS:000238935900043
内容类型	期刊论文
源URL	[http://ir.ihep.ac.cn/handle/311005/237514]
专题	高能物理研究所_理论物理室
作者单位	中国科学院高能物理研究所
推荐引用方式 GB/T 7714	Sun JQ,Ma ZQ,Sun, JQ,et al. New conservation schemes for the nonlinear Schrodinger equation[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,177(1):446-451.
APA	孙建强,马中骐,Sun, JQ,Ma, ZQ,Hua, W,&Qin, MZ.(2006).New conservation schemes for the nonlinear Schrodinger equation.APPLIED MATHEMATICS AND COMPUTATION,177(1),446-451.
MLA	孙建强,et al."New conservation schemes for the nonlinear Schrodinger equation".APPLIED MATHEMATICS AND COMPUTATION 177.1(2006):446-451.