The (G '/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

doi:10.1016/j.physleta.2007.07.051

兰州大学机构库 >数学与统计学院

	The (G '/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
	Wang, ML(王明亮); Li, XZ; Zhang, JL; Wang, ML (reprint author), Henan Univ Sci & Technol, Sch Sci, Luoyang 471003, Peoples R China.
ESI NOTE	2017-07-19;Highly Cited Papers
	2008-01-21
Source Publication	PHYSICS LETTERS A
ISSN	0375-9601
Volume	372 Issue:4 Pages:417-423
Abstract	The (G'/G)-expansion method is firstly proposed, where G = G(xi) satisfies a second order linear ordinary differential equation (LODE for short), by which the travelling wave solutions involving parameters of the KdV equation, the mKdV equation, the variant Boussinesq equations and the Hirota-Satsuma equations are obtained. When the parameters are taken as special values the solitary waves are also derived from the travelling waves. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The proposed method is direct, concise, elementary and effective, and can be used for many other nonlinear evolution equations. (C) 2007 Published by Elsevier B.V.
Keyword	(G '/G)-expansion method homogeneous balance travelling wave solutions solitary wave solutions KdV equation mKdV equation variant Boussinesq equations Hirota-Satsuma equations
Subject Area	Physics
Publisher	ELSEVIER
DOI	10.1016/j.physleta.2007.07.051
Publication Place	AMSTERDAM
Indexed By	SCIE ; PubMed ; MEDLINE ; ESI
Language	英语
First Inst	否
WOS ID	WOS:000252835200012
Subtype	Article
PMID	19046298
Department	[Wang, Mingliang; Li, Xiangzheng; Zhang, Jinliang] Henan Univ Sci & Technol, Sch Sci, Luoyang 471003, Peoples R China; [Wang, Mingliang] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
Citation statistics	Cited Times:1237[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	https://ir.lzu.edu.cn/handle/262010/117992
Collection	数学与统计学院
Corresponding Author	Wang, ML (reprint author), Henan Univ Sci & Technol, Sch Sci, Luoyang 471003, Peoples R China.
Recommended Citation GB/T 7714	Wang, ML,Li, XZ,Zhang, JL,et al. The (G '/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics[J]. PHYSICS LETTERS A,2008,372(4):417-423.
APA	Wang, ML,Li, XZ,Zhang, JL,&Wang, ML .(2008).The (G '/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics.PHYSICS LETTERS A,372(4),417-423.
MLA	Wang, ML,et al."The (G '/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics".PHYSICS LETTERS A 372.4(2008):417-423.

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