Group classification and some similarity solutions for a nonlinear filtration equation

Pakdemirli M.

Mathematical and Computational Applications, vol.7, no.1, pp.1-4, 2002 (Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1
  • Publication Date: 2002
  • Doi Number: 10.3390/mca7010001
  • Journal Name: Mathematical and Computational Applications
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1-4
  • Keywords: Filtration equation, Group Classification, Lie Group Theory, Similarity Solutions
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

A nonlinear filtration equation in which the filter coefficient is an arbitrary function of the specific deposit is considered. Lie Group theory is applied to the coupled system of partial differential equations. Group classification is performed with respect to the arbitrary filter coefficient. Some similarity solutions are constructed using the symmetries.