Dergiler / Turkish Journal of Mathematics / 2008 / Cilt: 32 - Sayı: 3

On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations

Sayfa
277–292
DOI
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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.

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.

Anahtar kelimeler: Darboux integrability; Characteristic Lie Algebra; First Integrals; Integrability test