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Ultradiscrete Painlevé VI with Parity Variables

Vernadsky National Library of Ukraine

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Title Ultradiscrete Painlevé VI with Parity Variables
 
Creator Takemura, K.
Tsutsui, T.
 
Description 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.
 
Date 2019-02-21T07:16:16Z
2019-02-21T07:16:16Z
2013
 
Type Article
 
Identifier Ultradiscrete Painlevé VI with Parity Variables / K. Takemura, T. Tsutsui / Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 13 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 39A13; 34M55; 37B15
DOI: http://dx.doi.org/10.3842/SIGMA.2013.070
http://dspace.nbuv.gov.ua/handle/123456789/149362
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України