The notion of a 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, the number of initial-boundary data is clarified, which define the lattice uniquely. (C) 1997 Elsevier Science B.V.
Multidimensional quadrilateral lattices are integrable / Adam, Doliwa; Santini, Paolo Maria. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 233:4-6(1997), pp. 365-372. [10.1016/s0375-9601(97)00456-8]
Multidimensional quadrilateral lattices are integrable
SANTINI, Paolo Maria
1997
Abstract
The notion of a 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, the number of initial-boundary data is clarified, which define the lattice uniquely. (C) 1997 Elsevier Science B.V.File allegati a questo prodotto
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