Non-Integrability of the Sasano System of Type ⁽¹⁾₅ and Stokes Phenomena

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• 1. Verfasser: Stoyanova, Tsvetana
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212871
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Non-Integrability of the Sasano System of Type ⁽¹⁾₅ and Stokes Phenomena. Tsvetana Stoyanova. SIGMA 21 (2025), 020, 24 pages

In 2006, Y. Sasano proposed higher-order Painlevé systems, which admit affine Weyl group symmetry of type ⁽¹⁾ₗ, = 4, 5, 6, …. In this paper, we study the integrability of a four-dimensional Painlevé system, which has symmetry under the extended affine Weyl group ˜(⁽¹⁾₅) and which we call the Sasano...