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Rational solutions of the Sasano system of type \(A_{1}^{(1)}\). (English) Zbl 1251.33017

The rational solutions of the Sasano system of type \(A^{(1)}_1\) (which is expressed as a coupled Painlevé II system and which admits the affine Weyl group symmetry of type \(A^{(1)}_1\) as the second Painlevé equation) are completely classified.

MSC:

33E17 Painlevé-type functions
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