Ultradiscrete Painlevé VI with Parity Variables

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
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dc.contributor.author	Takemura, K.
dc.contributor.author	Tsutsui, T.
dc.date.accessioned	2019-02-21T07:16:16Z
dc.date.available	2019-02-21T07:16:16Z
dc.date.issued	2013
dc.identifier.citation	Ultradiscrete 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 39A13; 34M55; 37B15
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.070
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149362
dc.description.abstract	We 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.sponsorship	The 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Ultradiscrete Painlevé VI with Parity Variables	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA