Group classification and some similarity solutions for a nonlinear filtration equation

Pakdemirli M.

Mathematical and Computational Applications, cilt.7, sa.1, ss.1-4, 2002 (Scopus, TRDizin) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2002
  • Doi Numarası: 10.3390/mca7010001
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1-4
  • Anahtar Kelimeler: Filtration equation, Group Classification, Lie Group Theory, Similarity Solutions
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.