An improved (G′/G)-expansion method for solving nonlinear evolution equations

被引：107

作者：

Zhang, Jiao ^{[1
]}

Jiang, Fengli ^{[2
]}

Zhao, Xiaoying ^{[2
]}

机构：

[1] Shenyang Inst Engn, Fdn Dept, Shenyang 110136, Peoples R China

[2] Liaoning Univ Petr & Chem Technol, Coll Sci, Liaoning, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 08期

关键词：

improved (G '/G)-expansion method; exact solutions; nonlinear evolution equations; Zakharov-Kuznetsov-BBM equation; (2+1)-dimensional dispersive long wave equations; HOMOGENEOUS BALANCE METHOD; EXP-FUNCTION METHOD; F-EXPANSION METHOD; WAVE SOLUTIONS; MATHEMATICAL PHYSICS;

D O I：

10.1080/00207160802450166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An improved (G'/G)-expansion method is proposed to seek more general travelling wave solutions of nonlinear evolution equations. We choose the Zakharov-Kuznetsov-BBM (Benjamin-Bona-Mahony) equation and the (2+1)-dimensional dispersive long wave equations to illustrate the validity and advantages of the proposed method. As a result, many exact travelling wave solutions are obtained, which include soliton, hyperbolic function, trigonometric function and rational, solutions.

引用

页码：1716 / 1725

页数：10

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