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Ultradiscrete Painlevé VI with Parity Variables

Ultradiscrete Painlevé VI with Parity Variables

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...

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Main Authors: Takemura, K., Tsutsui, T.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149362
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spelling irk-123456789-1493622019-02-22T01:23:22Z Ultradiscrete Painlevé VI with Parity Variables Takemura, K. Tsutsui, T. 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. 2013 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Takemura, K.
Tsutsui, T.
spellingShingle Takemura, K.
Tsutsui, T.
Ultradiscrete Painlevé VI with Parity Variables
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Takemura, K.
Tsutsui, T.
author_sort Takemura, K.
title Ultradiscrete Painlevé VI with Parity Variables
title_short Ultradiscrete Painlevé VI with Parity Variables
title_full Ultradiscrete Painlevé VI with Parity Variables
title_fullStr Ultradiscrete Painlevé VI with Parity Variables
title_full_unstemmed Ultradiscrete Painlevé VI with Parity Variables
title_sort ultradiscrete painlevé vi with parity variables
publisher Інститут математики НАН України
publishDate 2013
url http://dspace.nbuv.gov.ua/handle/123456789/149362
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT takemurak ultradiscretepainleveviwithparityvariables
AT tsutsuit ultradiscretepainleveviwithparityvariables
first_indexed 2023-05-20T17:32:49Z
last_indexed 2023-05-20T17:32:49Z
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