Exact solutions of nonlinear Schrodinger equation by using symbolic computation

Kaplan M., ÜNSAL Ö., Bekir A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.39, no.8, pp.2093-2099, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 8
  • Publication Date: 2016
  • Doi Number: 10.1002/mma.3626
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2093-2099
  • Keywords: 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
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.