On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations
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 the attempt to adopt this notion to the classification of Darboux integrable chains has been undertaken.
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