Traveling wave solutions for some coupled nonlinear evolution equations

In the present paper, an extended algebraic method is used for constructing exact traveling wave solutions for some coupled nonlinear evolution equations. By implementing the direct algebraic method, new exact solutions of the coupled KdV equations, coupled system of variant Boussinesq equations, coupled Burgers equations and generalized coupled KdV equations are obtained. The present results describe the generation and evolution of such waves, their interactions, and their stability. Moreover, the method can be applied to a wide class of coupled nonlinear evolution equations.