Kazuhide Matsuda, “Rational Solutions of the Sasano System of Type <nobr>$A_5^{(2)}$</nobr>”, SIGMA, 2011, Volume 7,030, 20 pp.

This article is cited in 2 papers

Rational Solutions of the Sasano System of Type $A_5^{(2)}$

Kazuhide Matsuda

Department of Engineering Science, Niihama National College of Technology, 7-1 Yagumo-chou, Niihama, Ehime, 792-8580, Japan

Abstract: In this paper, we completely classify the rational solutions of the Sasano system of type $A_5^{(2)}$, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry of type $A_5^{(2)}$.

Keywords: affine Weyl group; rational solutions; Sasano system.

MSC: 33E17; 34M55

Received: November 5, 2010; in final form March 17, 2011; Published online March 25, 2011

Language: English

DOI: 10.3842/SIGMA.2011.030