Published March 8, 2002 | Version v1
Journal article

Lie point symmetries and commuting flows for equations on lattices

  • 1. Dipartimento di Fisica 'E Amaldi', Universita degli Studi Roma Tre and Sezione INFN, Roma Tre, Rome (Italy)
  • 2. Centre de Recherches Mathematiques and Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal, PQ (Canada)

Description

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. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
35
Journal Issue
9
Journal Page Range
p. 2249-2262
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
33026864
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CRYSTAL LATTICES; INTEGRAL CALCULUS; LATTICE FIELD THEORY; LIE GROUPS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY
Descriptors DEC
CONSTRUCTIVE FIELD THEORY; CRYSTAL STRUCTURE; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; MATHEMATICS; QUANTUM FIELD THEORY; SYMMETRY GROUPS