Ultradiscrete Painlevé VI with Parity Variables

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dc.contributor.authorTakemura, K.
dc.contributor.authorTsutsui, T.
dc.date.accessioned2019-02-21T07:16:16Z
dc.date.available2019-02-21T07:16:16Z
dc.date.issued2013
dc.description.abstractWe introduce a ultradiscretization with parity variables of the q-difference Painlevé VI system of equations. We show that ultradiscrete limit of Riccati-type solutions of q-Painlevé VI satisfies the ultradiscrete Painlevé VI system of equations with the parity variables, which is valid by using the parity variables. We study some solutions of the ultradiscrete Riccati-type equation and those of ultradiscrete Painlevé VI equation.uk_UA
dc.description.sponsorshipThe authors would like to thank Professor Junkichi Satsuma for discussions and suggestions. They also thank the referees for valuable comments. The first author is partially supported by the Grant-in-Aid for Young Scientists (B) (No. 22740107) from the Japan Society for the Promotion of Science.uk_UA
dc.identifier.citationUltradiscrete Painlevé VI with Parity Variables / K. Takemura, T. Tsutsui / Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 13 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 39A13; 34M55; 37B15
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2013.070
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149362
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleUltradiscrete Painlevé VI with Parity Variablesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік