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Travelling Wave Solutions of the Schrödinger‐Boussinesq System

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  • Adem Kılıcman
  • Reza Abazari

Abstract

We establish exact solutions for the Schrödinger‐Boussinesq System iut + uxx − auv = 0, vtt−vxx+vxxxx−b(|u|2) xx=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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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:198398
DOI: 10.1155/2012/198398
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