The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations
文献类型：期刊论文
| 作者 | Yan, ZY
|
| 刊名 | PHYSICS LETTERS A
 |
| 出版日期 | 2004-10-18 |
| 卷号 | 331期号:3-4页码:193-200 |
| 关键词 | Sine-Gordon equation nonlinear wave equation symbolic computation doubly periodic solution solitary wave solution |
| ISSN号 | 0375-9601 |
| DOI | 10.1016/j.physleta.2004.08.046 |
| 英文摘要 | In this Letter, a new method (called generalized sine-Gordon equation expansion method) is proposed by further studying the famous sine-Gordon equation and using a generalized transformation to seek more types of solutions of nonlinear wave equations. With the aid of symbolic computation, we choose (2 + 1)-dimensional Burgers equation and the variant Boussinesq equations to illustrate the validity and advantages of the algorithm. As a consequence, more types of new solitary wave solutions, singular solitary wave solutions and doubly periodic solutions are obtained. The algorithm can be also extended to many other nonlinear wave equations. (C) 2004 Published by Elsevier B.V. |
| 语种 | 英语 |
| WOS记录号 | WOS:000224478200010 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19447]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, ZY |
| 作者单位 | Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, ZY. The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations[J]. PHYSICS LETTERS A,2004,331(3-4):193-200. |
| APA | Yan, ZY.(2004).The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations.PHYSICS LETTERS A,331(3-4),193-200. |
| MLA | Yan, ZY."The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations".PHYSICS LETTERS A 331.3-4(2004):193-200. |
入库方式： OAI收割
来源：数学与系统科学研究院
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