Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations

A systematic investigation to derive Lie point symmetries to time fractional generalized Burgers as well as Korteweg-de Vries equations is presented. Using the obtained Lie point symmetries we have shown that each of them has been transformed into a nonlinear ordinary differential equation of fractional order with a new independent variable. The derivative corresponding to time fractional in the reduced equation is usually known as the Erdelyi-Kober fractional derivative. (C) 2012 Elsevier Inc. All rights reserved.