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paper

Asymptotic symmetries of difference equations on a lattice

arXiv:math-ph/0505017 · doi:10.2991/jnmp.2005.12.s2.9

Abstract

It is known that many equations of interest in Mathematical Physics display solutions which are only asymptotically invariant under transformations (e.g. scaling and/or translations) which are not symmetries of the considered equation. In this note we extend the approach to asymptotic symmetries for the analysis of PDEs, to the case of difference equations.