On construction of darboux integrable discrete models

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buir.contributor.authorZheltukhina, Natalya
buir.contributor.orcidZheltukhina, Natalya|0000-0003-1614-6322
dc.citation.epage289en_US
dc.citation.issueNumber3
dc.citation.spage279
dc.citation.volumeNumber92
dc.contributor.authorZheltukhin, Kostyantyn
dc.contributor.authorZheltukhina, Natalya
dc.date.accessioned2024-03-12T08:27:52Z
dc.date.available2024-03-12T08:27:52Z
dc.date.issued2023-12
dc.departmentDepartment of Mathematics
dc.description.abstractThe 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.
dc.identifier.doi10.1016/S0034-4877(23)00080-0
dc.identifier.eissn1879-0674
dc.identifier.issn0034-4877
dc.identifier.urihttps://hdl.handle.net/11693/114559
dc.language.isoen_US
dc.publisherElsevier Ltd
dc.relation.isversionofhttps://doi.org/10.1016/S0034-4877(23)00080-0
dc.rightsCC BY 4.0 Deed (Attribution 4.0 International)
dc.rights.urihttps://creativecommons.org/licenses/by/2.0/
dc.source.titleReports on Mathematical Physics
dc.subjectHyperbolic differential-discrete equations
dc.subjectHyperbolic discrete equations
dc.subjectDarboux integrability
dc.subjectCharacteristic algebras
dc.titleOn construction of darboux integrable discrete models
dc.typeArticle
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