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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 070, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.070 (Mi sigma853) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Ultradiscrete Painlevé VI with Parity Variables

Kouichi Takemura, Terumitsu Tsutsui

Department of Mathematics, Faculty of Science and Technology, Chuo University, 1-13-27 Kasuga, Bunkyo-ku Tokyo 112-8551, Japan
Full-text PDF (328 kB) Citations (8)
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DOI: https://doi.org/10.3842/SIGMA.2013.070
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.
Keywords: Painlevé equation; ultradiscrete; numerical solutions.
Received: July 15, 2013; in final form November 11, 2013; Published online November 19, 2013
Bibliographic databases:
Document Type: Article
MSC: 39A13; 34M55; 37B15
Language: English
Citation: Kouichi Takemura, Terumitsu Tsutsui, “Ultradiscrete Painlevé VI with Parity Variables”, SIGMA, 9 (2013), 070, 12 pp.
Citation in format AMSBIB
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\paper Ultradiscrete Painlev\'e VI with Parity Variables
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\totalpages 12
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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