The (ω/g)-expansion method and its application to Vakhnenko equation

被引：0

作者：

Li Wen-An ^{[1
]}

Chen Hao ^{[1
]}

Zhang Guo-Cai ^{[1
]}

机构：

[1] S China Normal Univ, Sch Phys & Telecommun Engn, Guangzhou 510006, Guangdong, Peoples R China

来源：

CHINESE PHYSICS B | 2009年 / 18卷 / 02期

关键词：

(omega/g)-expansion method; Vakhnenko equation; travelling wave solutions; ELLIPTIC FUNCTION EXPANSION; NONLINEAR-WAVE EQUATIONS; LOOP SOLITON SOLUTION; (G'/G)-EXPANSION METHOD; VARIABLE-COEFFICIENTS; PERIODIC-SOLUTIONS; SYSTEM;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper presents a new function expansion method for finding travelling wave solutions of a nonlinear evolution equation and calls it the (omega/g)-expansion method, which can be thought of as the generalization of (G'/G)-expansion given by Wang et al recently. As an application of this new method, we study the well-known Vakhnenko equation which described the propagation of high-frequency waves in a relaxing medium. With two new expansions, general types of soliton solutions and periodic solutions for Vakhnenko equation are obtained.

引用

页码：400 / 404

页数：5

共 24 条

[1]

Chen Y, 2003, CHINESE PHYS, V12, P940, DOI 10.1088/1009-1963/12/9/303

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

Fan, EG .

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

[3]

Fang JP, 2005, COMMUN THEOR PHYS, V43, P245

[4] New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations [J].

Fu, ZT ;

Liu, SK ;

Liu, SD ;

Zhao, Q .

PHYSICS LETTERS A, 2001, 290 (1-2) :72-76

[5]

He HS, 2005, CHINESE PHYS, V14, P1926, DOI 10.1088/1009-1963/14/10/002

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

He, Ji-Huan ;

Wu, Xu-Hong .

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

[7]

LAN HB, 1990, J PHYS A-MATH GEN, V23, P3923, DOI 10.1088/0305-4470/23/17/021

[8]

Li BA, 2005, CHINESE PHYS, V14, P1698, DOI 10.1088/1009-1963/14/9/003

[9] Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations [J].

Liu, SK ;

Fu, ZT ;

Liu, SD ;

Zhao, Q .

PHYSICS LETTERS A, 2001, 289 (1-2) :69-74

[10] Travelling solitary wave solutions to a compound KdV-Burgers equation [J].

Parkes, EJ ;

Duffy, BR .

PHYSICS LETTERS A, 1997, 229 (04) :217-220

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