We study the Drinfel'd-Sokolov-Wilson system, which was introduced as a model of water waves. Firstly we obtain exact solutions of this system using the -expansion method. In addition to exact solutions we also construct conservation laws for the underlying system using Noether's approach.
Catherine Matjila. Ben Muatjetjeja. Chaudry Masood Khalique. "Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System." Abstr. Appl. Anal. 2014 (SI21) 1 - 6, 2014. https://doi.org/10.1155/2014/271960