Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) System

Abstract

In this study coupled system of nonlinear time fractional Drinfeld-Sokolov-Wilson equations, which describes the propagation of anomalous shallow water waves is investigated. The Lie symmetry analysis is performed on the model. Employing the suitable similarity transformations, the governing model is similarity reduced to a system of nonlinear ordinary differential equations with Erdelyi-Kober fractional derivatives. Moreover the invariant subspace method is used to calculate the explicit analytical solutions of the problem. ./files/site1/files/42/5Abstract.pdf

Keywords

• lie symmetry analysis
• time fractional drinfeld-sokolov-wilson (dsw) system
• erdelyi-kober operators
• invariant subspace method.