On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations

Details On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations

2007-03-30

arxiv.org/abs/nlin/0703065v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages

Scientific paper

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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