2020OpenMETU (Middle East Technical University)Open access

On the discretization of Darboux Integrable Systems

Kostyantyn Zheltukhin, Natalya Zheltukhina

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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.

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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.

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Available 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.

Key concepts: Integrable system, Discretization, Mathematics, Darboux integral, Algebra over a field, Mathematical analysis, Pure mathematics, Geometry

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