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A novel numerical approach to simulating nonlinear Schrodinger equations with varying coefficients
Hong, JL; Liu, Y
2003-07-01
Source PublicationAPPLIED MATHEMATICS LETTERS
ISSN0893-9659
Volume16Issue:5Pages:759-765
AbstractWe 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.
Keywordmultisymplecticity nonlinear Schrodinger equation quasi-periodic solitary waves
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000183643700023
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:31[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18695
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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