ON CONSTRUCTION OF DARBOUX INTEGRABLE DISCRETE MODELS

Date

2023-12-01

Author

Zheltukhın, Kostyantyn
Zheltukhina, Natalya

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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.

URI

https://hdl.handle.net/11511/109912

Journal

REPORTS ON MATHEMATICAL PHYSICS

DOI

https://doi.org/10.1016/s0034-4877(23)00080-0

Collections

Department of Mathematics, Article

Citation Formats

K. Zheltukhın and N. Zheltukhina, “ON CONSTRUCTION OF DARBOUX INTEGRABLE DISCRETE MODELS,” REPORTS ON MATHEMATICAL PHYSICS, vol. 92, no. 3, pp. 279–289, 2023, Accessed: 00, 2024. [Online]. Available: https://hdl.handle.net/11511/109912.