Title: Lie symmetry analysis of time-fractional generalised Korteweg-de Vries equations

Authors: Youwei Zhang

Addresses: Department of Mathematics, Hexi University, Gansu 734000, China

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.

Keywords: time-fractional generalised KdVs; Erdélyi-Kober operators; Lie symmetry analysis; Riemann-Liouville fractional derivative; Korteweg-de Vries equations; nonlinear ODEs; ordinary differential equations independent variables.

DOI: 10.1504/IJDSDE.2014.067105

International Journal of Dynamical Systems and Differential Equations, 2014 Vol.5 No.1, pp.27 - 41

Received: 09 Jan 2014
Accepted: 20 Sep 2014
Published online: 29 Apr 2015 *

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