Application of the (G′/G)-expansion method to (3+1)-dimensional nonlinear evolution equations

被引：36

作者：

Song, Ming ^{[1
]}

Ge, Yuli ^{[2
]}

机构：

[1] Yuxi Normal Univ, Fac Sci, Dept Math, Yuxi 653100, Peoples R China

[2] Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 05期

关键词：

(G '/G)-expansion method; (3+1)-dimensional Kadomtsev-Petviashvili equation; (3+1)-dimensional potential-YTSF equation; (3+1)-dimensional Jimbo-Miwa equation; Traveling wave solutions; TRAVELING-WAVE SOLUTIONS; JIMBO-MIWA EQUATION; EXP-FUNCTION METHOD; KADOMTSEV-PETVIASHVILI EQUATION; EXPLICIT SOLUTIONS; EXPANSION METHOD; NONCOMPACT STRUCTURES; MATHEMATICAL PHYSICS; KDV EQUATION; VARIANTS;

D O I：

10.1016/j.camwa.2010.05.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the (G'/G)-expansion method is employed to solve the (3+1)-dimensional Kadomtsev-Petviashvili (KP) equation, the (3+1)-dimensional potential-YTSF equation and the (3+1)-dimensional Jimbo-Miwa (JM) equation. Exact traveling wave solutions are obtained. The traveling wave solutions are expressed in terms of hyperbolic functions, the trigonometric functions and the rational functions. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1220 / 1227

页数：8

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