Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order

doi:10.1016/S0022-247X(02)00336-0

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	Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order
	Zhang, WG ; Chang, QS ; Fan, EG
	2003-11-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	287 期号:1 页码:1-18
摘要	In this paper, we present several methods of judging shape of the solitary wave and solution formulae for some nonlinear evolution equations by means of Lienard equations. Then, using the judgement methods and solution formulae, we obtain solutions of the solitary wave for some of important nonlinear evolution equations, which include generalized modified Boussinesq, generalized nonlinear wave, generalized Fisher, generalized Klein-Gordon and generalized Zakharov equations. Some new solitary-wave solutions are found for the equations. (C) 2003 Published by Elsevier Inc.
关键词	solitary wave exact solution generalized modified Boussinesq equation generalized nonlinear wave equation generalized Fisher equation generalized Klein-Gordon equation generalized Zakharov equation
DOI	10.1016/S0022-247X(02)00336-0
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000186208400001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18329
专题	中国科学院数学与系统科学研究院
通讯作者	Chang, QS
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Shanghai Univ Sci & Technol, Dept Basic Sci, Shanghai 200093, Peoples R China 3.Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Zhang, WG,Chang, QS,Fan, EG. Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,287(1):1-18.
APA	Zhang, WG,Chang, QS,&Fan, EG.(2003).Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,287(1),1-18.
MLA	Zhang, WG,et al."Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 287.1(2003):1-18.