A novel numerical approach to simulating nonlinear Schrodinger equations with varying coefficients

	A novel numerical approach to simulating nonlinear Schrodinger equations with varying coefficients
	Hong, JL; Liu, Y
	2003-07-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	16 期号:5 页码:759-765
摘要	We describe a novel numerical approach to simulations of nonlinear Schrodinger equations with varying coefficients, based on the discovery of a new and intrinsic conservation law for varying coefficient nonlinear Schrodinger equations. The approach is shown to preserve some crucial classical conservations, such as the spatial ergodicity, and utilized in numerical simulations of periodically and quasi-periodically solitary waves for nonlinear Schrodinger equations with periodic or quasi-periodic coefficients. Some numerical experiments are presented to illustrate the conservative property. (C) 2003 Elsevier Science Ltd. All rights reserved.
关键词	multisymplecticity nonlinear Schrodinger equation quasi-periodic solitary waves
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000183643700023
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/18695
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.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Hong, JL,Liu, Y. A novel numerical approach to simulating nonlinear Schrodinger equations with varying coefficients[J]. APPLIED MATHEMATICS LETTERS,2003,16(5):759-765.
APA	Hong, JL,&Liu, Y.(2003).A novel numerical approach to simulating nonlinear Schrodinger equations with varying coefficients.APPLIED MATHEMATICS LETTERS,16(5),759-765.
MLA	Hong, JL,et al."A novel numerical approach to simulating nonlinear Schrodinger equations with varying coefficients".APPLIED MATHEMATICS LETTERS 16.5(2003):759-765.