Lie symmetry analysis of time-fractional generalised Korteweg-de Vries equations Online publication date: Wed, 29-Apr-2015
by Youwei Zhang
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 5, No. 1, 2014
Abstract: In present paper, time-fractional generalised Korteweg-de Vries equations (KdVs) are considered, a systematic investigation to derive Lie point symmetries of the equations are presented and compared. Each of them has been transformed into a nonlinear ordinary differential equation with a new independent variable are investigated. The derivative corresponding to time-fractional in the reduced formula is known as the Erdélyi-Kober fractional derivative.
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