A novel numerical approach to simulating nonlinear Schrodinger equations with varying coefficients
文献类型：期刊论文
| 作者 | Hong, JL ; Liu, Y
|
| 刊名 | APPLIED MATHEMATICS LETTERS
 |
| 出版日期 | 2003-07-01 |
| 卷号 | 16期号:5页码:759-765 |
| 关键词 | multisymplecticity nonlinear Schrodinger equation quasi-periodic solitary waves |
| ISSN号 | 0893-9659 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000183643700023 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18694]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。