Extended consistent Riccati expansion for investigating interaction between soliton and periodic wave for Drinfel’d–Sokolov–Wilson system

The consistent Riccati expansion (CRE) method is extended and applied to derive interaction solutions of the Drinfel’d-Sokolov-Wilson (DSW) system. It has been shown that the DSW system is solvable using the CRE method. By utilizing the CRE method, interaction solutions between solitons and Jacobi sine periodic waves are explicitly obtained for the DSW system. Furthermore, the dynamic behavior of these interactions is analyzed in detail.