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