Exact solutions of nonlinear Schrödinger equation by using symbolic computation

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 Schrödinger equation. The t...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2016-05, Vol.39 (8), p.2093-2099
Main Authors: Kaplan, Melike, Ünsal, Ömer, Bekir, Ahmet
Format: Article
Language:English
Subjects:
(1/G′)-expansion method
(G′/G,1/G)‐expansion method
Exact solutions
G′/G
Hyperbolic functions
Mathematical analysis
Mathematical models
Nonlinear evolution equations
nonlinear Schrödinger equation
Nonlinearity
Schroedinger equation
symbolic computation
Traveling waves
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Summary: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 Schrödinger 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 © 2015 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3626