Volume 27, Issue 4, September 2020, Pages 616 - 632
On the discretization of Darboux Integrable Systems
Authors
Kostyantyn Zheltukhin*
Department of Mathematics, Middle East Technical University, Ankara, Turkey,zheltukh@metu.edu.tr
Natalya Zheltukhina
Department of Mathematics, Faculty of Science, Bilkent University, Ankara, Turkey,natalya@fen.bilkent.edu.tr
*Corresponding author
Corresponding Author
Kostyantyn Zheltukhin
Received 2 July 2019, Accepted 6 January 2020, Available Online 4 September 2020.
- DOI
- 10.1080/14029251.2020.1819597How to use a DOI?
- Keywords
- semi-discrete system; Darboux integrability; x-integral; discretization
- Abstract
We study the discretization of Darboux integrable systems. The discretization is done using x-, y-integrals of the considered continuous systems. New examples of semi-discrete Darboux integrable systems are obtained.
- Copyright
- © 2020 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Download article (PDF)
View full text (HTML)
Cite this article
TY - JOUR AU - Kostyantyn Zheltukhin AU - Natalya Zheltukhina PY - 2020 DA - 2020/09/04 TI - On the discretization of Darboux Integrable Systems JO - Journal of Nonlinear Mathematical Physics SP - 616 EP - 632 VL - 27 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1819597 DO - 10.1080/14029251.2020.1819597 ID - Zheltukhin2020 ER -