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