Linear quadrilateral lattice equations and multidimensional consistency

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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7 pages, 1 figure

Scientific paper

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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