On construction of discrete Darboux integrable equations
Exactly Solvable and Integrable Systems
2023-02-16 v2
Abstract
The problem of discretization of Darboux integrable equations is considered. Given a Darboux integrable continuous equation, one can obtain a Darboux integrable differential-discrete equation, using the integrals of the continuous equation. In the present paper, the discretization of the differential-discrete equations is done using the corresponding characteristic algebras. New examples of integrable discrete equations are obtained.
Cite
@article{arxiv.2211.03087,
title = {On construction of discrete Darboux integrable equations},
author = {Kostyantyn Zheltukhin and Natalya Zheltukhina},
journal= {arXiv preprint arXiv:2211.03087},
year = {2023}
}