Lie Point Symmetries and Commuting Flows for Equations on Lattices
D. Levi, P. Winternitz
Abstract
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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