On some algebraic properties of semi-discrete hyperbolic type equations
Turkish Journal of Mathematics
Scientific and Technical Research Council of Turkey (TUBITAK)
277 - 292
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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. © TÜBİTAK.