New conservation schemes for the nonlinear Schrodinger equation
文献类型：期刊论文
| 作者 | Sun, Jan-Qiang; Ma, Zhong-Qi; Hua, Wei; Qin, Meng-Zhao |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2006-06-01 |
| 卷号 | 177期号:1页码:446-451 |
| 关键词 | Lie group methods nonlinear Schrodinger equation Cayley transform square-conservation scheme |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2005.11.021 |
| 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000238935900043 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2587]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Sun, Jan-Qiang |
| 作者单位 | 1.Inst High Energy Phys, Beijing 100049, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 3.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Jan-Qiang,Ma, Zhong-Qi,Hua, Wei,et al. New conservation schemes for the nonlinear Schrodinger equation[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,177(1):446-451. |
| APA | Sun, Jan-Qiang,Ma, Zhong-Qi,Hua, Wei,&Qin, Meng-Zhao.(2006).New conservation schemes for the nonlinear Schrodinger equation.APPLIED MATHEMATICS AND COMPUTATION,177(1),446-451. |
| MLA | Sun, Jan-Qiang,et al."New conservation schemes for the nonlinear Schrodinger equation".APPLIED MATHEMATICS AND COMPUTATION 177.1(2006):446-451. |
入库方式： OAI收割
来源：数学与系统科学研究院
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