Rational Solutions of the Painlevé-II Equation Revisited

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Miller, P.D., Sheng, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148731
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rational Solutions of the Painlevé-II Equation Revisited / P.D. Miller, Y. Sheng // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 39 назв. — англ.

The rational solutions of the Painlevé-II equation appear in several applications and are known to have many remarkable algebraic and analytic properties. They also have several different representations, useful in different ways for establishing these properties. In particular, Riemann-Hilbert repr...