# On the discretization of Darboux Integrable Systems

## TL;DR

This paper explores the discretization process of Darboux integrable systems using their integrals, leading to new semi-discrete examples and advancing understanding of their discrete analogs.

## Contribution

It introduces a novel discretization approach based on integrals, resulting in new semi-discrete Darboux integrable systems.

## Key findings

- New semi-discrete Darboux integrable systems identified
- Discretization method based on x- and y-integrals developed
- Enhanced understanding of discrete analogs of integrable systems

## 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.