English

On the discretization of Darboux Integrable Systems admitting the second-order integrals

Exactly Solvable and Integrable Systems 2020-07-20 v1

Abstract

We study discretization of Darboux integrable systems. The discretization is done by using xx- or yy-integrals of the considered systems. New examples of semi-discrete Darboux integrable systems are obtained.

Keywords

Cite

@article{arxiv.2007.08918,
  title  = {On the discretization of Darboux Integrable Systems admitting the second-order integrals},
  author = {Kostyantyn Zheltukhin and Natalya Zheltukhina},
  journal= {arXiv preprint arXiv:2007.08918},
  year   = {2020}
}

Comments

16 pages

R2 v1 2026-06-23T17:11:39.836Z