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dc.contributor.authorHabibullin, I.en_US
dc.contributor.authorZheltukhina, N.en_US
dc.date.accessioned2018-04-12T10:45:48Z
dc.date.available2018-04-12T10:45:48Z
dc.date.issued2016en_US
dc.identifier.issn0402-9251
dc.identifier.urihttp://hdl.handle.net/11693/36606
dc.description.abstractThe problem of constructing semi-discrete integrable analogues of the Liouville type integrable PDE is discussed. We call the semi-discrete equation a discretization of the Liouville type PDE if these two equations have a common integral. For the Liouville type integrable equations from the well-known Goursat list for which the integrals of minimal order are of the order less than or equal to two we presented a list of corresponding semi-discrete versions. The list contains new examples of non-autonomous Darboux integrable chains. © 2016 the authors.en_US
dc.language.isoEnglishen_US
dc.source.titleJournal of Nonlinear Mathematical Physicsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1080/14029251.2016.1248159en_US
dc.subjectDarboux integrabilityen_US
dc.subjectdiscretizationen_US
dc.subjectn-integralen_US
dc.subjectcontinuum limiten_US
dc.subjectSemi-discrete chainen_US
dc.subjectx-integralen_US
dc.subject35Q51en_US
dc.subject37K60en_US
dc.titleDiscretization of Liouville type nonautonomous equations preserving integralsen_US
dc.typeArticleen_US
dc.departmentDepartment of Mathematicsen_US
dc.citation.spage620en_US
dc.citation.epage642en_US
dc.citation.volumeNumber23en_US
dc.citation.issueNumber4en_US
dc.identifier.doi10.1080/14029251.2016.1248159en_US
dc.publisherTaylor and Francisen_US
dc.identifier.eissn1776-0852


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