A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations
文献类型：期刊论文
| 作者 | Chen, Yong; Wang, Qi |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2006-06-01 |
| 卷号 | 177期号:1页码:396-409 |
| 关键词 | symbolic computation exact solutions nonlinear evolution equations Jacobi elliptic function rational expansion method Riccati equation rational expansion method |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2005.11.018 |
| 英文摘要 | A unified basic frame of rational expansion methods is presented, which leads to closed-form solutions of nonlinear evolution equations (NLEEs). The new unified algorithms are given to find exact rational formal polynomial solutions of NLEEs in terms of Jacobi elliptic functions, solutions of the Riccati equation and solutions of the generalized Riccati equation. They can be implemented in symbolic computation system Maple. As applications of the methods, we choose some physical significance NLEEs to illustrate the methods. As, a consequence, we not only can successfully obtain the solutions found by most existing Jacobi elliptic function methods and tanh methods, but also find other new and more general solutions at the same time. (c) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000238935900040 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3233]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Yong |
| 作者单位 | 1.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China 2.Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China 3.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 4.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Yong,Wang, Qi. A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,177(1):396-409. |
| APA | Chen, Yong,&Wang, Qi.(2006).A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations.APPLIED MATHEMATICS AND COMPUTATION,177(1),396-409. |
| MLA | Chen, Yong,et al."A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations".APPLIED MATHEMATICS AND COMPUTATION 177.1(2006):396-409. |
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。