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.
Indexed BySCIE ; PubMed ; MEDLINE ; ESI
ESI NOTE2017-07-19;Highly Cited Papers
2008-01-21
Source PublicationPHYSICS LETTERS A
Volume372Issue:4Pages:417-423
PublisherELSEVIER
Publication PlaceAMSTERDAM
AbstractThe (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
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
Subject AreaPhysics
DOI10.1016/j.physleta.2007.07.051
ISSN0375-9601
SubtypeArticle
Language英语
WOS IDWOS:000252835200012
PMID 19046298
First Inst
Citation statistics
Cited Times:868[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.lzu.edu.cn/handle/262010/117992
Collection数学与统计学院
Corresponding AuthorWang, 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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