KMS Of Academy of mathematics and systems sciences, CAS
| Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations | |
Yan, Zhenya
| |
| 2007-01-29 | |
| Source Publication | PHYSICS LETTERS A
 |
| ISSN | 0375-9601 |
| Volume | 361Issue:3Pages:223-230 |
| Abstract | 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. |
| Keyword | higher-dimensional generalized Boussinesq equation similarity reductions solitary wave-like solution doubly-periodic wave-like solution |
| DOI | 10.1016/j.physleta.2006.07.047 |
| Language | 英语 |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary |
| WOS ID | WOS:000244313300007 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/4192 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 1.Chinese Acad Sci, AMSS, Key Lab Math Mechanizat, Inst Syst Sci, Beijing 100080, Peoples R China 2.CCAST, World Lab, Beijing 100080, Peoples R China |
| Recommended Citation 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. |
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