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arxiv: 0705.2280 · v2 · submitted 2007-05-16 · 🌊 nlin.SI

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

classification 🌊 nlin.SI
keywords classificationequationslatticeintegrableadler-bobenko-surisadmissibleallowingcases
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The classification of lattice equations that are integrable in the sense of higher-dimensional 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.

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