Lie symmetry analysis of time-fractional generalised Korteweg-de Vries equations
type: Item
instance of: scholarly article
title: Lie symmetry analysis of time-fractional generalised Korteweg-de Vries equations
zbMATH Open document ID: 1331.37098
DOI: 10.1504/IJDSDE.2014.067105
author: Youwei Zhang
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2016-01-26T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 37K30
zbMATH DE Number: 6535961
zbMATH Keywords: time-fractional generalised KdV
zbMATH Keywords: Erdélyi-Kober operators
zbMATH Keywords: Lie symmetry analysis
zbMATH Keywords: Riemann-Liouville fractional derivative
MaRDI profile type: Publication
full work available at URL: ijdsde.2014.067105
OpenAlex ID: W2084070904
description: scientific article; zbMATH DE number 6535961