New exact solutions to the compound KdV-Burgers system with nonlinear terms of any order

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Abstract

In this paper, we obtain some new exact solutions of compound KdV-Burgers system with nonlinear terms of any order by using the $(\frac{G^{\prime }}{G})$ -expand method. In addition, the solitary wave ansatz method is used to carry out this integration. Subsequently, it has been proved that the soliton solution exist only for the KdV-Burgers equation.