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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Stoyanova, Tsvetana
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212871
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...