Multidimensional Quadrilateral Lattices are Integrable

Details Multidimensional Quadrilateral Lattices are Integrable Multidimensional Quadrilateral Lattices are Integrable

1996-12-19

arxiv.org/abs/solv-int/9612007v1

Phys. Lett. A 233 (1997) 365.

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, LaTeX, 6 Postscript figures

Scientific paper

10.1016/S0375-9601(97)00456-8

The notion of multidimensional quadrilateral lattice is introduced. It is shown that such a lattice is characterized by a system of integrable discrete nonlinear equations. Different useful formulations of the system are given. The geometric construction of the lattice is also discussed and, in particular, it is clarified the number of initial--boundary data which define the lattice uniquely.

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