Authors: İSMAGİL HABIBULLIN, ASLI PEKCAN, NATALYA ZHELTUKHINA
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
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