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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 074, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.074 (Mi sigma632) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A Class of Special Solutions for the Ultradiscrete Painlevé II Equation

Shin Isojima, Junkichi Satsuma

Department of Physics and Mathematics, 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.2011.074
Abstract: A class of special solutions are constructed in an intuitive way for the ultradiscrete analog of $q$-Painlevé II ($q$-PII) equation. The solutions are classified into four groups depending on the function-type and the system parameter.
Keywords: ultradiscretization; Painlevé equation; Airy equation; $q$-difference equation.
Received: April 1, 2011; in final form July 14, 2011; Published online July 22, 2011
Bibliographic databases:
Document Type: Article
MSC: 34M55; 33E30; 39A13
Language: English
Citation: Shin Isojima, Junkichi Satsuma, “A Class of Special Solutions for the Ultradiscrete Painlevé II Equation”, SIGMA, 7 (2011), 074, 9 pp.
Citation in format AMSBIB
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