Integrable dynamics of Toda-type on the square and triangular lattices
Exactly Solvable and Integrable Systems
2010-04-19 v1 Pattern Formation and Solitons
Abstract
In a recent paper we constructed an integrable generalization of the Toda law on the square lattice. In this paper we construct other examples of integrable dynamics of Toda-type on the square lattice, as well as on the triangular lattice, as nonlinear symmetries of the discrete Laplace equations on the square and triangular lattices. We also construct the - function formulations and the Darboux-B\"acklund transformations of these novel dynamics.
Cite
@article{arxiv.0710.5543,
title = {Integrable dynamics of Toda-type on the square and triangular lattices},
author = {Paolo Maria Santini and Adam Doliwa and Maciej Nieszporski},
journal= {arXiv preprint arXiv:0710.5543},
year = {2010}
}
Comments
22 pages, 4 figures