Soliton Solution coupled Schrödinger equation by directalgebraic method

The exact solutions often model natural phenomena and facilitate the testingof numerical algorithms as well as the stability analysis of differentialequations. There is an interest for long times in obtaining exact analyticalsolutions of nonlinear evolution equations. In this paper, we investigate thecoupled Schrödinger-Boussinesq equation and new soliton-like solutions areobtained for this equation via the direct algebraic method under certainconstraints on the coefficient functions. Also, the soliton-like solutions withdouble arbitrary parameters are expressed by the hyperbolic functions,trigonometric functions and rational functions respectively.