Application of the extended simplest equation method to the coupled Schrödinger–Boussinesq equation

摘要

In this paper, we successfully construct the new exact traveling wave solutions of the coupled Schrödinger–Boussinesq equation by using the extended simplest equation method. The exact traveling wave solutions with double arbitrary parameters, are expressed by the hyperbolic functions, the trigonometric functions and the rational functions respectively. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions.