Linear quadrilateral lattice equations and multidimensional consistency
نویسنده
چکیده
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. PACS numbers: 02.30.Ik
منابع مشابه
Quadrilateral and Circular Latticesare
This research is devoted to a systematic discretization of some classical notions of Diierential Geometry and to the study of their deep connections with the theory of integrable diierence equations in multidimensions. The basic example we consider here is the conjugate net 1], whose proper discretization is the quadrilateral lattice 2], 3]. are planar, where T i is the translation operator in ...
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