Discrete derivatives and symmetries of difference equations

Details Discrete derivatives and symmetries of difference equations Discrete derivatives and symmetries of difference equations

2000-10-26

arxiv.org/abs/nlin/0010044v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

submitted to J.Phys. A 10 Latex pages

Scientific paper

10.1088/0305-4470/34/10/306

We show on the example of the discrete heat equation that for any given
discrete derivative we can construct a nontrivial Leibniz rule suitable to find
the symmetries of discrete equations. In this way we obtain a symmetry Lie
algebra, defined in terms of shift operators, isomorphic to that of the
continuous heat equation.

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