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paper

Linear quadrilateral lattice equations and multidimensional consistency

arXiv:0903.4428 · doi:10.1088/1751-8113/42/45/454005

Abstract

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.

7 pages, 1 figure