Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method

Abstract

In this paper we study the analytic solutions of Burgers type nonlinear fractional equations by means of the Invariant Subspace Method. We first study a class of nonlinear equations directly related to the time-fractional Burgers equation. Some generalizations linked to the forced time-fractional Burgers equations and variable-coefficient diffusion are also considered. Finally we study a Burgers-type equation involving both
space and time-fractional derivatives.