Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations
文献类型：期刊论文
| 作者 | Yan, Zhenya
|
| 刊名 | PHYSICS LETTERS A
 |
| 出版日期 | 2007-01-29 |
| 卷号 | 361期号:3页码:223-230 |
| 关键词 | higher-dimensional generalized Boussinesq equation similarity reductions solitary wave-like solution doubly-periodic wave-like solution |
| ISSN号 | 0375-9601 |
| DOI | 10.1016/j.physleta.2006.07.047 |
| 英文摘要 | In this Letter, we investigate explicitly exact solutions of the higher-dimensional generalized Boussinesq equation. We firstly reduce this equation to one nonlinear ODE and a set of two nonlinear homogeneous PDEs via semi-traveling wave similarity transformation. And then we study solutions of the obtained nonlinear ODE and the set of two nonlinear homogeneous PDEs, respectively. Finally, we can obtain many types of exact solutions of higher-dimensional generalized Boussinesq equation via the semi-traveling wave similarity transformations. These solutions contain an arbitrary function which leads to abundant structures. (c) 2006 Published by Elsevier B.V. |
| 语种 | 英语 |
| WOS记录号 | WOS:000244313300007 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4191]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.CCAST, World Lab, Beijing 100080, Peoples R China 2.Chinese Acad Sci, AMSS, Key Lab Math Mechanizat, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Zhenya. Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations[J]. PHYSICS LETTERS A,2007,361(3):223-230. |
| APA | Yan, Zhenya.(2007).Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations.PHYSICS LETTERS A,361(3),223-230. |
| MLA | Yan, Zhenya."Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations".PHYSICS LETTERS A 361.3(2007):223-230. |
入库方式： OAI收割
来源：数学与系统科学研究院
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