Analytic study on two nonlinear evolution equations by using the (G′/G)-expansion method

被引：72

作者：

Aslan, Ismail ^{[1
]}

Ozis, Turgut ^{[2
]}

机构：

[1] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey

[2] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 209卷 / 02期

关键词：

(G '/G)-expansion method; Modified Camassa-Holm equation; Two-dimensional Korteweg-de-Vries-Burgers equation; Exact solutions; Traveling wave solutions; KDV-BURGERS EQUATION; WAVE SOLUTIONS; SOLITON;

D O I：

10.1016/j.amc.2008.12.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The validity and reliability of the so-called (G'/G)-expansion method is tested by applying it to two nonlinear evolutionary equations. Solutions in more general forms are obtained. When the parameters are taken as special values, it is observed that the previously known solutions can be recovered. New rational function solutions are also presented. Being concise and less restrictive, the method can be applied to many nonlinear partial differential equations. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：425 / 429

页数：5

共 18 条

[1] Application of the (G′/G)-expansion method for nonlinear evolution equations [J].

Bekir, Ahmet .

PHYSICS LETTERS A, 2008, 372 (19) :3400-3406

[2] Extended tanh-function method and its applications to nonlinear equations [J].

Fan, EG .

PHYSICS LETTERS A, 2000, 277 (4-5) :212-218

[3] A new complex line soliton for the two-dimensional KdV-Burgers equation [J].

Fan, EG ;

Zhang, J ;

Hon, BYC .

PHYSICS LETTERS A, 2001, 291 (06) :376-380

[4] The first integral method to the two-dimensional Burgers-Korteweg-de Vries equation [J].

Feng, ZS ;

Wang, XH .

PHYSICS LETTERS A, 2003, 308 (2-3) :173-178

[5] Exp-function method for nonlinear wave equations [J].

He, Ji-Huan ;

Wu, Xu-Hong .

CHAOS SOLITONS & FRACTALS, 2006, 30 (03) :700-708

[6]

Hirota R., 2004, The Direct Method in Soliton Theory

[7] An application of the decomposition method for the two-dimensional KdV-Burgers equation [J].

Kaya, D .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (10-11) :1659-1665

[8] New applications of developed Jacobi elliptic function expansion methods [J].

Liu, GT ;

Fan, TY .

PHYSICS LETTERS A, 2005, 345 (1-3) :161-166

[9] AN EXACT SOLUTION TO 2-DIMENSIONAL KORTEWEG-DEVRIES-BURGERS EQUATION [J].

MA, WX .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (01) :L17-L20

[10] Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method [J].

Molabahrami, A. ;

Khani, F. ;

Hamedi-Nezhad, S. .

PHYSICS LETTERS A, 2007, 370 (5-6) :433-436

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