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

	Generalized transformations and abundant new families of exact solutions for (2+1)-dimensional dispersive long wave equations
	Yan, ZY
刊名	COMPUTERS & MATHEMATICS WITH APPLICATIONS
	2003-10-01
卷号	46 期号:8-9 页码:1363-1372
关键词	(2+1)-dimensional dispersive long wave equation variant Boussinesq equation Riccati equation solitary wave solution periodic wave solution
ISSN号	0898-1221
DOI	10.1016/S0898-1221(03)00366-3
英文摘要	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.
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000186838100017
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/19001]
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.