Journals / Turkish Journal of Mathematics / 2008 / Cilt: 32 - Sayı: 3
On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations
- Pages
- 277–292
- DOI
- —
Abstract
Nonlinear semi-discrete equations of the form tx(n+1) = f(t(n), t(n+1), tx(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.
Özet
Nonlinear semi-discrete equations of the form tx(n+1) = f(t(n), t(n+1), tx(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.