A Generalized (G′/G)-Expansion Method for the Nonlinear Schrodinger Equation with Variable Coefficients

被引：30

作者：

Zhang, Sheng ^{[1
]}

Ba, Jin-Mei ^{[1
]}

Sun, Ying-Na ^{[1
]}

Dong, Ling ^{[1
]}

机构：

[1] Bohai Univ, Dept Math, Jinzhou 121000, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2009年 / 64卷 / 11期

关键词：

Nonlinear Evolution Equations; Generalized (G '/G)-Expansion Method; Hyperbolic Function Solutions; Trigonometric Function Solutions; Rational Solutions; TRAVELING-WAVE SOLUTIONS; EXP-FUNCTION METHOD; KADOMSTEV-PETVIASHVILI EQUATION; PARTIAL-DIFFERENTIAL-EQUATIONS; SOLITON-SOLUTIONS; SYMBOLIC COMPUTATION; EVOLUTION-EQUATIONS; EXPANSION METHOD; BROER-KAUP; MKDV EQUATION;

D O I：

10.1515/zna-2009-1104

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper, a generalized (G'/G)-expansion method, combined with suitable transformations, is used to construct exact solutions of the nonlinear Schrodinger equation with variable coefficients. As a result, hyperbolic function solutions, trigonometeric function solutions, and rational solutions with parameters are obtained. When the parameters are taken as special values, some solutions including the known kink-type solitary wave solution and the singular travelling wave solution are derived from these obtained solutions. It is shown that the generalized (G'/G)-expansion method is direct, effective, and can be used for many other nonlinear evolution equations with variable coefficients in mathematical physics.

引用

页码：691 / 696

页数：6

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