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arXiv · 2211.03087

On construction of discrete Darboux integrable equations

Kostyantyn Zheltukhin·Natalya Zheltukhina
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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.

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Kostyantyn Zheltukhin, Natalya Zheltukhina. 2022-11-06. On construction of discrete Darboux integrable equations. https://arxiv.org/abs/2211.03087

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