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Lie group formalism for difference equations

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Published under licence by IOP Publishing Ltd
, , Citation D Levi et al 1997 J. Phys. A: Math. Gen. 30 633 DOI 10.1088/0305-4470/30/2/024

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Author affiliations

1 Dipartimento di Fisica, Università di Roma III

2 INFN - Sezione di Roma, P. le A. Moro 2, 00185 Rome, Italy

3 Centre de recherches mathématiques, Université de Montréal, CP 6128, succ. Centre-ville, Montréal QC H3C 3J7, Canada

Dates

  1. Received 25 January 1996

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0305-4470/30/2/633

Abstract

The methods of Lie group analysis of differential equations are generalized so as to provide an infinitesimal formalism for calculating symmetries of difference equations. Several examples are analysed, one of them being a nonlinear difference equation. For the linear equations the symmetry algebra of the discrete equation is found to be isomorphic to that of its continuous limit.

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