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.
International Journal of Dynamical Systems and Differential Equations, 2014 Vol.5 No.1, pp.27 - 41
Available online: 23 Jan 2015 *Full-text access for editors Access for subscribers Purchase this article Comment on this article