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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 059, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.059 (Mi sigma617) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_6^{(1)}$

Mikio Murata

Department of Physics and Mathematics, College of Science and Engineering, Aoyama Gakuin University, 5-10-1 Fuchinobe, Chuo-ku, Sagamihara-shi, Kanagawa, 252-5258 Japan
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DOI: https://doi.org/10.3842/SIGMA.2011.059
Abstract: An ultradiscrete system corresponding to the $q$-Painlevé equation of type $A_6^{(1)}$, which is a $q$-difference analogue of the second Painlevé equation, is proposed. Exact solutions with two parameters are constructed for the ultradiscrete system.
Keywords: Painlevé equations; ultradiscrete systems.
Received: February 7, 2011; in final form June 11, 2011; Published online June 17, 2011
Bibliographic databases:
Document Type: Article
MSC: 33E17; 39A12
Language: English
Citation: Mikio Murata, “Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_6^{(1)}$”, SIGMA, 7 (2011), 059, 15 pp.
Citation in format AMSBIB
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\by Mikio Murata
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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