Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves
文献类型：期刊论文
| 作者 | Hong, JL ; Liu, Y
|
| 刊名 | MATHEMATICAL AND COMPUTER MODELLING
 |
| 出版日期 | 2004-05-01 |
| 卷号 | 39期号:9-10页码:1035-1047 |
| 关键词 | multisymplecticity centred box scheme quasi-periodic KdV equation Hamiltonian PDEs nonautonomous quasi-periodically solitary wave |
| ISSN号 | 0895-7177 |
| DOI | 10.1016/j.mcm2003.07.012 |
| 英文摘要 | y=Abstract-In this paper, the multisymplectic integrator for a class of Hamiltonian PDEs depending explicitly on time and spatial variables (nonautonomous Hamiltonian PDEs) is defined, and the multisymplecticity of the centred box scheme for this kind of Hamiltonian PDEs is proven. We give an application of the result to (periodic) quasi-periodic variable coefficient Korteweg-de Vries (qpKdV) equation, which is known to have a physical application in the propagation of surface waves in straits or channels with quasi-periodic varying depth and width in the time direction. We derive a multisymplectic scheme for a qpKdV equation in terms of the multisymplecticity of the centred box scheme, then make use of it to simulate numerically the (periodically) quasi-periodically solitary wave of the equation. Numerical experiments are presented in illustration of the multisymplectic scheme of qpKdV equation stemming the centred box discretization. (C) 2004 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000222144500007 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/524]  |
| 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.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hong, JL,Liu, Y. Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves[J]. MATHEMATICAL AND COMPUTER MODELLING,2004,39(9-10):1035-1047. |
| APA | Hong, JL,&Liu, Y.(2004).Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves.MATHEMATICAL AND COMPUTER MODELLING,39(9-10),1035-1047. |
| MLA | Hong, JL,et al."Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves".MATHEMATICAL AND COMPUTER MODELLING 39.9-10(2004):1035-1047. |
入库方式： OAI收割
来源：数学与系统科学研究院
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