Multi-order exact solutions to the Drinfel'd–Sokolov–Wilson equations

In this Letter, based on the Lamé function and Jacobi elliptic function, the perturbation method is applied to the classical Drinfel'd–Sokolov–Wilson (hereafter DSW for short) equations, and many multi-order solutions are derived. It is shown that different Lamé functions can exist in the first order solutions of DSW system.