Rational solutions of the Sasano system of typeA(2)4

DOI10.1088/1751-8113/44/40/405201zbMATH Open1275.33031arXiv1007.2697OpenAlexW3021336696MaRDI QIDQ3094313

Kazuhide Matsuda

Publication date: 24 October 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: We completely classify the rational solutions of the Sasano system of type $D{5}^{(1)}.$ The rational solutions are classified to four classes by the B"acklund transformation group.

Full work available at URL: https://arxiv.org/abs/1007.2697

zbMATH Keywords

Sasano systemaffine Weyl group symmetryPainlevé II system

Mathematics Subject Classification ID

Painlevé-type functions (33E17)

Related Items (3)

Rational solutions of the Sasano system of type \(A_{1}^{(1)}\) ⋮ RATIONAL SOLUTIONS OF THE SASANO SYSTEMS OF TYPES B4(1), D4(1)AND D5(2) ⋮ Nonintegrability of coupled Painlevé systems with affine Weyl group symmetry of type \(A_4^{(2)}\)

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