The extension of the Jacobi elliptic function rational expansion method | |
Yu, Yaxuan1; Wang, Qi1,2; Zhang, Hongqing1,2 | |
刊名 | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
2007-08-01 | |
卷号 | 12期号:5页码:702-713 |
关键词 | Jacobi elliptic functions Nonlinear evolution equations Travelling wave solution Jacobi elliptic function rational expansion method |
ISSN号 | 1007-5704 |
DOI | 10.1016/j.cnsns.2005.05.009 |
英文摘要 | Using a new ansatz, we extend the Jacobi elliptic function rational expansion method and apply it to the asymmetric Nizhnik-Novikov-Veselov equations and the Davey-Stewartson equations. With the aid of symbolic computation, we construct more new Jacobi elliptic doubly periodic wave solutions and the corresponding solitary wave solutions and triangular functional (singly periodic) solutions. (C) 2005 Elsevier B.V. All rights reserved. |
资助项目 | National Key Basic Research Project of China[2004CB318000] |
WOS研究方向 | Mathematics ; Mechanics ; Physics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE BV |
WOS记录号 | WOS:000208278200009 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5216] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Yu, Yaxuan |
作者单位 | 1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Yu, Yaxuan,Wang, Qi,Zhang, Hongqing. The extension of the Jacobi elliptic function rational expansion method[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2007,12(5):702-713. |
APA | Yu, Yaxuan,Wang, Qi,&Zhang, Hongqing.(2007).The extension of the Jacobi elliptic function rational expansion method.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,12(5),702-713. |
MLA | Yu, Yaxuan,et al."The extension of the Jacobi elliptic function rational expansion method".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 12.5(2007):702-713. |
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