On some algebraic properties of semi-discrete hyperbolic type equations


Habibullin I. , Pekcan A., Zheltukhina N.

TURKISH JOURNAL OF MATHEMATICS, vol.32, no.3, pp.277-292, 2008 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 3
  • Publication Date: 2008
  • Title of Journal : TURKISH JOURNAL OF MATHEMATICS
  • Page Numbers: pp.277-292
  • Keywords: Darboux integrability, characteristic lie algebra, first integrals, integrability test, CLASSIFICATION

Abstract

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.