Exact solutions of nonlinear Schrodinger equation by using symbolic computation

被引：28

作者：

Kaplan, Melike ^{[1
]}

Unsal, Omer ^{[1
]}

Bekir, Ahmet ^{[1
]}

机构：

[1] Eskiehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 08期

关键词：

exact solutions; symbolic computation; nonlinear Schrodinger equation; (G; '/G; 1/G)-expansion method; (1/G ')-expansion method; TRAVELING-WAVE SOLUTIONS; EXP-FUNCTION METHOD; (G'/G)-EXPANSION METHOD; EVOLUTION-EQUATIONS; TRANSFORMATION;

D O I：

10.1002/mma.3626

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The (G/G,1/G)-expansion method and (1/G)-expansion method are interesting approaches to find new and more general exact solutions to the nonlinear evolution equations. In this paper, these methods are applied to construct new exact travelling wave solutions of nonlinear Schrodinger equation. The travelling wave solutions are expressed by hyperbolic functions, trigonometric functions and rational functions. It is shown that the proposed methods provide a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：2093 / 2099

页数：7

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