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2012 Travelling Wave Solutions of the Schrödinger-Boussinesq System
Adem Kılıcman, Reza Abazari
Abstr. Appl. Anal. 2012(SI05): 1-11 (2012). DOI: 10.1155/2012/198398


We establish exact solutions for the Schrödinger-Boussinesq System i u t + u x x a uv = 0 , v t t v x x + v x x x x b ( | u | 2 ) x x = 0 , where a and b are real constants. The ( G / G )-expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the ( G / G )-expansion method provides not only more general forms of solutions but also periodic and solitary waves. As a result, hyperbolic function solutions and trigonometric function solutions with parameters are obtained. These solutions may be important and of significance for the explanation of some practical physical problems.


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Adem Kılıcman. Reza Abazari. "Travelling Wave Solutions of the Schrödinger-Boussinesq System." Abstr. Appl. Anal. 2012 (SI05) 1 - 11, 2012.


Published: 2012
First available in Project Euclid: 7 May 2014

zbMATH: 1253.65162
Digital Object Identifier: 10.1155/2012/198398

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI05 • 2012
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