Integrable 7-point discrete equations and evolution lattice equations of order 2
Exactly Solvable and Integrable Systems
2020-07-09 v1
Abstract
We consider differential-difference equations that determine the continuous symmetries of discrete equations on the triangular lattice. It is shown that a certain combination of continuous flows can be represented as a scalar evolution lattice equation of order 2. The general scheme is illustrated by a number of examples, including an analog of the elliptic Yamilov lattice equation.
Keywords
Cite
@article{arxiv.1705.10636,
title = {Integrable 7-point discrete equations and evolution lattice equations of order 2},
author = {V. E. Adler},
journal= {arXiv preprint arXiv:1705.10636},
year = {2020}
}
Comments
18 pages, 2 figures