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2020•arXiv (Cornell University)Open access

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

Kostyantyn Zheltukhin, Natalya Zheltukhina

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Abstract

We study discretization of Darboux integrable systems. The discretization is\ndone by using $x$- or $y$-integrals of the considered systems. New examples of\nsemi-discrete Darboux integrable systems are obtained.\n

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We study discretization of Darboux integrable systems. The discretization is\ndone by using $x$- or $y$-integrals of the considered systems. New examples of\nsemi-discrete Darboux integrable systems are obtained.\n

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Available abstract

We study discretization of Darboux integrable systems. The discretization is\ndone by using $x$- or $y$-integrals of the considered systems. New examples of\nsemi-discrete Darboux integrable systems are obtained.\n

Key concepts: Integrable system, Discretization, Darboux integral, Mathematics, Order (exchange), Algebra over a field, Mathematical analysis, Pure mathematics

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