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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
2006
发表期刊APPLIED MATHEMATICS AND COMPUTATION
卷号177期号:1页码:446-451
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
文章类型Article
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
学科领域Mathematics
研究领域[WOS]Mathematics ; Mathematics
DOI10.1016/j.amc.2005.11.021
URL查看原文
语种英语
研究领域[WOS]Mathematics ; Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000238935900043
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被引频次:10[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/237514
专题理论物理室
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.
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