Symmetries of the discrete Burgers equation

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, , Citation R Hernández Heredero et al 1999 J. Phys. A: Math. Gen. 32 2685 DOI 10.1088/0305-4470/32/14/009

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1 Departamento de Física Teórica II, Facultad de Ciencias Físicas, Universidad Complutense de Madrid, 28040 Madrid, Spain

2 Dipartimento di Fisica `Eduardo Amaldi', Universitá di Roma Tre and INFN, Sezione di Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy

3 Centre de Recherches Mathématiques, Université de Montréal, CP 6128 - Centre Ville, Montréal, QC, Canada H3C3J7

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  1. Received 14 October 1998

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Abstract

A discrete Cole-Hopf transformation is used to derive a discrete Burgers equation that is linearizable to a discrete heat equation. A five-dimensional symmetry algebra is obtained that reduces to the Lie point symmetry algebra of the usual Burgers equation, in the continuous limit. This Lie algebra is used to obtain explicit invariant solutions.

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