dorsal/arxiv
View SchemaMultidimensional Quadrilateral Lattices are Integrable
| Authors | A. Doliwa, P. M. Santini |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9612007 |
| URL | https://arxiv.org/abs/solv-int/9612007 |
| DOI | 10.1016/S0375-9601(97)00456-8 |
| Journal | Phys. Lett. A 233 (1997) 365. |
Abstract
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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"abstract": "The notion of multidimensional quadrilateral lattice is introduced. It is\nshown that such a lattice is characterized by a system of integrable discrete\nnonlinear equations. Different useful formulations of the system are given. The\ngeometric construction of the lattice is also discussed and, in particular, it\nis clarified the number of initial--boundary data which define the lattice\nuniquely.",
"arxiv_id": "solv-int/9612007",
"authors": [
"A. Doliwa",
"P. M. Santini"
],
"categories": [
"solv-int",
"hep-lat",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(97)00456-8",
"journal_ref": "Phys. Lett. A 233 (1997) 365.",
"title": "Multidimensional Quadrilateral Lattices are Integrable",
"url": "https://arxiv.org/abs/solv-int/9612007"
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