Nonlinear evolution equation with variable coefficient G′/G expansion solution

被引：6

作者：

Pang Jing ^{[1
]}

Jin Ling-Hua ^{[1
]}

Zhao Qiang ^{[1
]}

机构：

[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China

来源：

ACTA PHYSICA SINICA | 2012年 / 61卷 / 14期

关键词：

the (G'/G)-expansion method; nonlinear KdV equation with variable coefficients; exact solutions; (G'/G)-EXPANSION METHOD;

D O I：

10.7498/aps.61.140201

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 used to solve the two kinds of nonlinear KdV equations with variable coefficients for the first time. And some new exact solutions are obtained successfully. It is proved that the (G'/G)-expansion method is not only appropriate for solving nonlinear evolution equations with constant coefficients but also excellently applicable to the nonlinear evolution equations with variable coefficients, and it also has a broad application prospect.

引用

页数：5

共 14 条

[1] Ao TG, 2007, J INNER MONGLIA U, V38, P597
[2] Cai GL, 2008, J COLL MATH, V24, P26
[3] Feng QH, 2011, CHINESE PHYS B, V20
[4] Filiz T, 2010, CHINESE PHYS B, VB 20
[5] Improved tanh-function method and the new exact solutions for the general variable coefficient KdV equation and MKdV equation
Li, DS
Zhang, HQ
[J]. ACTA PHYSICA SINICA, 2003, 52 (07) : 1569 - 1573
[6] Li EQ, 2008, J HENAN SCI TECHNOL, V29, P80
[7] Using trial equation method to solve the exact solutions for two kinds of KdV equations with variable coefficients
Liu, CS
[J]. ACTA PHYSICA SINICA, 2005, 54 (10) : 4506 - 4510
[8] Jacobi elliptic function expansion solution to the variable coefficient nonlinear equations
Liu, SK
Fu, ZT
Liu, SD
Zhao, Q
[J]. ACTA PHYSICA SINICA, 2002, 51 (09) : 1923 - 1926
[9] New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation
Mao Jie-Jian
Yang Jian-Rong
[J]. ACTA PHYSICA SINICA, 2007, 56 (09) : 5049 - 5053
[10] The (G′/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
Wang, Mingliang
Li, Xiangzheng
Zhang, Jinliang
[J]. PHYSICS LETTERS A, 2008, 372 (04) : 417 - 423

← 1 2 →