Generalized transformations and abundant new families of exact solutions for (2+1)-dimensional dispersive long wave equations

doi:10.1016/S0898-1221(03)00366-3

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	Generalized transformations and abundant new families of exact solutions for (2+1)-dimensional dispersive long wave equations
	Yan, ZY
	2003-10-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	46 期号:8-9 页码:1363-1372
摘要	A new generalized transformation based upon the well-known Riccati equation is presented and applied to find exact solutions of the (2 + 1)-dimensional dispersive long wave equation. Many explicit exact solutions are obtained that include new solitary and periodic wave solutions, and combined formal solitary and periodic wave solutions. The variant Boussinesq equation, as a special case of the (2 + 1)-dimensional dispersive long wave equation, is also solved. These exact solutions are obtained computationally using the Wu elimination method with the aid of Mathematica to solve the large system of algebraic equations produced by the solution ansatz. (C) 2003 Elsevier Ltd. All rights reserved.
关键词	(2+1)-dimensional dispersive long wave equation variant Boussinesq equation Riccati equation solitary wave solution periodic wave solution
DOI	10.1016/S0898-1221(03)00366-3
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000186838100017
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19002
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, ZY
作者单位	Chinese Acad Sci, Key Lab Math Mech, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY. Generalized transformations and abundant new families of exact solutions for (2+1)-dimensional dispersive long wave equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2003,46(8-9):1363-1372.
APA	Yan, ZY.(2003).Generalized transformations and abundant new families of exact solutions for (2+1)-dimensional dispersive long wave equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,46(8-9),1363-1372.
MLA	Yan, ZY."Generalized transformations and abundant new families of exact solutions for (2+1)-dimensional dispersive long wave equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 46.8-9(2003):1363-1372.