Open Problems for Painlevé Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Clarkson, P.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210069
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Open Problems for Painlevé Equations / P.A. Clarkson // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 146 назв. — англ.

In this paper, some open problems for Painlevé equations are discussed. In particular, the following open problems are described: (i) the Painlevé equivalence problem; (ii) notation for solutions of the Painlevé equations; (iii) numerical solution of Painlevé equations; and (iv) the classification o...