Group classification and exact solutions of a radially symmetric porous-medium equation


Gungor F.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol.37, no.2, pp.245-255, 2002 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 2
  • Publication Date: 2002
  • Doi Number: 10.1016/s0020-7462(00)00109-8
  • Title of Journal : INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
  • Page Numbers: pp.245-255

Abstract

In this paper we perform a group classification for the generalized radial porous-medium equation. We also classify symmetry reductions of the equation to first- or second-order ordinary differential equations (ODEs) and hence construct invariant solutions in a systematic manner. We show that the reduced second-order equations are invariant under either a two-parameter or one-parameter Lie groups. In the first case, they are completely integrated by a pair of quadratures, In the latter, they are often reduced to first-order ODEs of Abel type. (C) 2001 Elsevier Science Ltd. All rights reserved.