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arxiv: 0903.4428 · v1 · pith:V6FLZYSDnew · submitted 2009-03-25 · 🌊 nlin.SI

Linear quadrilateral lattice equations and multidimensional consistency

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keywords latticeequationslinearquadrilateralanothercompatibleconsistencydimensional
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It is shown that every scalar linear quadrilateral lattice equation lies within a family of similar equations, members of which are compatible between one another on a higher dimensional lattice. There turn out to be two such families, a natural parametrisation is given for each.

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