Soliton-like solutions for the coupled Schrodinger–Boussinesq equation

The exact solutions often model natural phenomena and facilitate the testing of numerical algorithms as well as the stability analysis of differential equations. There is an interest for long times in obtaining exact analytical solutions of nonlinear evolution equations. In this paper, we investigate the coupled Schrodinger–Boussinesq equation and new soliton-like solutions are obtained for this equation via the direct algebraic method under certain constraints on the coefficient functions.