Linear quadrilateral lattice equations and multidimensional consistency

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

References in corpus (1)

• Backlund transformations for integrable lattice equations

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