Multidimensional Quadrilateral Lattices are Integrable
solv-int
2009-10-30 v1 High Energy Physics - Lattice
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.solv-int/9612007,
title = {Multidimensional Quadrilateral Lattices are Integrable},
author = {A. Doliwa and P. M. Santini},
journal= {arXiv preprint arXiv:solv-int/9612007},
year = {2009}
}
Comments
18 pages, LaTeX, 6 Postscript figures