Rational solutions of the Sasano system of type A1(1).
Hokkaido Mathematical Journal, 41 (2012) pp.227-255
In this paper, we completely classify the rational solutions of the Sasano system of type A1(1), which is a degeneration of the Sasano system of type A4(2). These systems of differential equations are both expressed as coupled Painlevé II systems. The Sasano system of type A1(1) is a higher order version of the second Painlevé equation, PII, with the same affine Weyl group symmetry of type A1(1) as PII.
|Uncontrolled Keywords||affine Weyl group, Rational solutions, the Sasano system|