On integrability of the higher dimensional time fractional KdV-type equation
type: Item
instance of: scholarly article
title: On integrability of the higher dimensional time fractional KdV-type equation
zbMATH Open document ID: 1458.37070
author: Jian-Gen Liu
author: Xiao-Jun Yang
author: Yi-Ying Feng
author: Ping Cui
author: Lu-Lu Geng
published in: Journal of Geometry and Physics
publication date: 2021-01-21T00:00:00Z
review text: The authors study some properties of the following high-dimensional time-fractional KdV-type equation: \[ D^\alpha_t+6u_xu_y+u_{xxy}+u_{xxxxz}+60u^2_{x}u_z+10u_{xxx}u_z+20u_xu_{xxz}+6u_xu_z+u_{xxz}=0, \] where \(D_t^\alpha\) stands for the fractional differential operator of order \(\alpha>0.\) By using fractional Lie group techniques, the authors obtain symmetries of the above PDE. Further, via a suitable conservation theorem, they get conservation laws.
reviewed by: Mohammed El Aïdi
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7299633
zbMATH Keywords: fractional Lie symmetry method
zbMATH Keywords: higher-dimensional time-fractional KdV-type equation
zbMATH Keywords: one-parameter Lie group
zbMATH Keywords: optimal system
zbMATH Keywords: similarity reduction
zbMATH Keywords: conservation laws
describes a project that uses: ONEOptimal
describes a project that uses: One Optimal System
MaRDI profile type: Publication
full work available at URL: j.geomphys.2020.104000
OpenAlex ID: W3097417748
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DOI: 10.1016/J.GEOMPHYS.2020.104000
description: scientific article