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Turkish Journal of Mathematics

DOI

-

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.

Keywords

Darboux integrability; Characteristic Lie Algebra; First Integrals; Integrability test

First Page

277

Last Page

292

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