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Integrability Test for Discrete Equations via Generalized Symmetries

arXiv:1010.3400 · doi:10.1063/1.3537849

Abstract

In this article we present some integrability conditions for partial difference equations obtained using the formal symmetries approach. We apply them to find integrable partial difference equations contained in a class of equations obtained by the multiple scale analysis of the general multilinear dispersive difference equation defined on the square.

Proceedings of the Symposium in Memoriam Marcos Moshinsky