New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms

doi:10.1016/j.na.2005.03.115

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	New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms
	Yan, ZY
	2006-03-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	64 期号:5 页码:901-909
摘要	It has been shown that many fully nonlinear wave equations with nonlinear dispersion terms possess compacton solutions and solitary patterns solutions. In this paper, with the aid of Maple, the mKdV equation, the equation with a source term, the five order KdV-like equation and the KdV-mKdV equation are investigated using some new, generalized transformations. As a consequence, it is shown that these equations with linear dispersion terms admit new compacton-like solutions and solitary patterns-like solutions. These transformations can be also extended to other nonlinear wave equations with nonlinear dispersion terms to seek new compacton-like solutions and solitary patterns-like solutions. (c) 2005 Published by Elsevier Ltd.
关键词	nonlinear wave equation comptacton-like solution solitary patterns-like solution symbolic computation
DOI	10.1016/j.na.2005.03.115
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000234958300002
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/2612
专题	系统科学研究所
通讯作者	Yan, ZY
作者单位	Chinese Acad Sci, Key Lab Math Mechanizat, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY. New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2006,64(5):901-909.
APA	Yan, ZY.(2006).New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,64(5),901-909.
MLA	Yan, ZY."New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 64.5(2006):901-909.