Isogroup classification and group-invariant solutions of the nonlinear diffusion-convection equation \(T_t=(D_1(T)T_x)_x-D_2'(T)T_x\)
type: Item
instance of: scholarly article
title: Isogroup classification and group-invariant solutions of the nonlinear diffusion-convection equation \(T_t=(D_1(T)T_x)_x-D_2'(T)T_x\)
zbMATH Open document ID: 0908.76092
DOI: 10.1016/S0020-7225(96)00074-2
author: K. Vijayakumar
published in: International Journal of Engineering Science
publication date: 1999-03-18T00:00:00Z
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 1162153
zbMATH Keywords: isovector approach
zbMATH Keywords: symmetry reductions
zbMATH Keywords: exact solutions
zbMATH Keywords: Fokas-Yortsos equation
zbMATH Keywords: travelling wave solution
zbMATH Keywords: quadratures
MaRDI profile type: Publication
cites work: Q3943693
cites work: Q3803878
cites work: Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
cites work: Nonlinear boundary value problems in science and engineering
cites work: Q4167662
cites work: Q3995225
cites work: On the exactly solvable equation$S_t = [ ( \beta S + \gamma )^{ - 2} S_x ]_x + \alpha ( \beta S + \gamma )^{ - 2} S_x $ Occurring in Two-Phase Flow in Porous Media
cites work: On two phase filtration under gravity and with boundary infiltration: application of a bäcklund transformation
cites work: Group classification and symmetry reductions of the nonlinear diffusion- convection equation \(u_ t=(D(u)u_ x)_ x-K'(u)u_ x\)
cites work: Group-Invariant Solutions of Differential Equations
full work available at URL: s0020-7225(96)00074-2
OpenAlex ID: W1986345252
description: scientific article; zbMATH DE number 1162153