On some algebraic properties of semi-discrete hyperbolic type equations

Habibullin I., Pekcan A., Zheltukhina N.

TURKISH JOURNAL OF MATHEMATICS, cilt.32, sa.3, ss.277-292, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 3
  • Basım Tarihi: 2008
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.277-292
  • Anahtar Kelimeler: Darboux integrability, characteristic lie algebra, first integrals, integrability test, CLASSIFICATION
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

Nonlinear semi-discrete equations of the form t(x)(n+ 1) = f(t(n), t(n + 1), t(x)(n)) are studied. An adequate algebraic formulation of the Darboux integrability is discussed and an attempt to adopt this notion to the classification of Darboux integrable chains has been undertaken.