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 | |
发表期刊 | PHYSICS LETTERS A |
ISSN | 0375-9601 |
卷号 | 361期号:3页码:223-230 |
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. |
关键词 | higher-dimensional generalized Boussinesq equation similarity reductions solitary wave-like solution doubly-periodic wave-like solution |
DOI | 10.1016/j.physleta.2006.07.047 |
语种 | 英语 |
WOS研究方向 | Physics |
WOS类目 | Physics, Multidisciplinary |
WOS记录号 | WOS:000244313300007 |
出版者 | ELSEVIER SCIENCE BV |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/4192 |
专题 | 系统科学研究所 |
通讯作者 | Yan, Zhenya |
作者单位 | 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 |
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. |
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