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.
Levi, D., Winternitz, P. (2002). Lie point symmetries and commuting flows for equations on lattices. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 35(9), 2249-2262 [10.1088/0305-4470/35/9/314].
Lie point symmetries and commuting flows for equations on lattices
LEVI, Decio;
2002-01-01
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.File in questo prodotto:
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