Group analysis of(2+1)- and(3+1)-dimensional diffusion–convection e

Abstract

We perform the complete Lie group classification of a (2 + 1)-and a (3 + 1)-dimensional classes of non-linear diffusion-convection equations. This classification generalizes and completes existing results in the literature. The derived Lie symmetries are used for construction of similarity reductions and exact solutions of certain equations from both classes.