Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Marius van der Put, Top, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146693
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) / Marius van der Put, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 13 назв. — англ.

The Riemann-Hilbert approach for the equations PIII(D6) and PIII(D7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painlevé varieties, the Painlevé property, special solutions and explicit Bäcklund transformations.