Lie Point Symmetries and Commuting Flows for Equations on Lattices

Details Lie Point Symmetries and Commuting Flows for Equations on Lattices Lie Point Symmetries and Commuting Flows for Equations on Lattices

2001-12-05

arxiv.org/abs/math-ph/0112007v1

Physics

Mathematical Physics

Scientific paper

10.1088/0305-4470/35/9/314

Different symmetry formalisms for difference equations on lattices are
reviewed and applied to perform symmetry reduction for both linear and
nonlinear partial difference equations. Both Lie point symmetries and
generalized symmetries are considered and applied to the discrete heat equation
and to the integrable discrete time Toda lattice.

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