Extension of the Adler-Bobenko-Suris classification of integrable lattice equations

Abstract

The classification of lattice equations that are integrable in the sense of higherdimensional consistency is extended by allowing directed edges. We find two cases that are not transformable via the ‘admissible transformations’ to the lattice equations in the existing classification. PACS: 02.30.Ik, 04.60.Nc, 05.45.Yv 

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