Applications of Sine-Cosine Wavelets Method For Solving Drinfel’d–Sokolov–Wilson System

Abstract

In this article, we use the Sine-Cosine wavelets (SCWs) method to numerically solve the Drinfel’d–Sokolov–Wilson (DSW) system. For this purpose, we use an approximation of functions with the help of SCWs, and we approximate spatial derivatives using this method. The operational matrix based on SCWs has a large number of zero components, which ensures good system performance and provides acceptable accuracy even with fewer collocation points. In the end, to show the effectiveness and accuracy of the method in solving this system one numerical example is provided.