Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations

doi:10.1016/j.physleta.2006.07.047

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	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.