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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 , , where and are real constants. The ( )-expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the ( )-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.

Suggested Citation

  • Adem Kılıcman & Reza Abazari, 2012. "Travelling Wave Solutions of the Schrödinger-Boussinesq System," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, October.
    • Handle: RePEc:hin:jnlaaa:198398
    DOI: 10.1155/2012/198398
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