Habibullin, IsmagilPekcan, AslıZheltukhina, Natalya2016-02-082016-02-0820081300-0098http://hdl.handle.net/11693/23012Nonlinear 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. © TÜBİTAK.EnglishCharacteristic lie algebraDarboux integrabilityFirst integralsIntegrability testArticle1303-6149