Exact solutions for the double sinh-Gordon and generalized form of the double sinh-Gordon equations by using (G' / G)-expansion method

被引：17

作者：

Kheiri, Hossein ^{[1
]}

Jabbari, Azizeh ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran

来源：

TURKISH JOURNAL OF PHYSICS | 2010年 / 34卷 / 02期

关键词：

(G' / G)-expansion method; double sinh-Gordon equation; generalized form of the double sinh-Gordon equation; traveling wave solutions;

D O I：

10.3906/fiz-0909-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the (G'/ G)-expansion method is applied to seek traveling wave solutions to the double sinh-Gordon and the generalized form of the double sinh-Gordon equations. With the aid of a symbolic computation system, two types of more general traveling wave solutions (including hyperbolic functions and trigonometric functions) with free parameters are constructed. Solutions concerning solitary and periodic waves are also given by setting the two arbitrary parameters, involved in the traveling waves, as special values.

引用

页码：73 / 82

页数：10

共 21 条

[11]

Polyanin A. D., 2004, HDB NONLINEAR PARTIA

[12] A direct method for solving sine-Gordon type equations [J].