On discrete integrable equations of higher order
Exactly Solvable and Integrable Systems
2014-08-27 v1 Mathematical Physics
math.MP
Abstract
We study 2D discrete integrable equations of order 1 with respect to one independent variable and with respect to another one. A generalization of the multidimensional consistency property is proposed for this type of equations. The examples are related to the B\"acklund--Darboux transformations for the lattice equations of Bogoyavlensky type.
Cite
@article{arxiv.1310.0981,
title = {On discrete integrable equations of higher order},
author = {V. E. Adler and V. V. Postnikov},
journal= {arXiv preprint arXiv:1310.0981},
year = {2014}
}
Comments
20 pages, 2 figures