On the Increasing Tritronquée Solutions of the Painlevé-II Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Author: Miller, P.D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209879
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Increasing Tritronquée Solutions of the Painlevé-II Equation / P.D. Miller // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 29 назв. — англ.

The increasing tritronquée solutions of the Painlevé-II equation with parameter α exhibit square-root asymptotics in the maximally large sector |arg(x)| < 2/3π and have recently appeared in applications where it is necessary to understand the behavior of these solutions for complex values of...