New application of (G′/G)-expansion method to a nonlinear evolution equation

被引：16

作者：

Ma, Yulan ^{[1
,2
]}

Li, Bangqing ^{[3
]}

机构：

[1] Beijing Technol & Business Univ, Dept Comp Sci & Engn, Beijing 100048, Peoples R China

[2] Beijing Technol & Business Univ, Dept Appl Math, Beijing 100048, Peoples R China

[3] China Univ Min & Technol, Sch Mech Elect & Informat Engn, Beijing 100083, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 07期

关键词：

(G '/G)-expansion method; Modified generalized Vakhnenko equation; Traveling wave solution; Hump-like solitary wave solution; Cusp-like solitary wave solution; Loop-like solitary wave solution; TRAVELING-WAVE SOLUTIONS; AUTO-BACKLUND TRANSFORMATION; EXPANSION METHOD; BROER-KAUP; SYMBOLIC COMPUTATION; VAKHNENKO EQUATION; SOLITARY; EXPLICIT;

D O I：

10.1016/j.amc.2010.03.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A series of exact traveling wave solutions are constructed by applying the (G'/G)-expansion method for a modified generalized Vakhnenko equation. A further investigation shows that the shape types of the solitary wave solutions could directly depend on the coefficients of the linear ordinary differential equation with the (G'/G)-expansion method. Hump-like solitary wave solution, cusp-like solitary wave solution and loop-like solitary wave solution can be observed by setting the coefficients at different values. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2137 / 2144

页数：8

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