Lie Point Symmetries and Commuting Flows for Equations on Lattices
arXiv:math-ph/0112007 · doi:10.1088/0305-4470/35/9/314
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.
References in corpus (6)
- Lie point symmetries of difference equations and lattices
- Lie symmetries of multidimensional difference equations
- Symmetries of Discrete Dynamical Systems Involving Two Species
- Discrete derivatives and symmetries of difference equations
- Point Symmetries of Generalized Toda Field Theories
- Lie symmetries of difference equations