Tronquée Solutions of the Third and Fourth Painlevé Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Xia, X.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209862
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Tronquée Solutions of the Third and Fourth Painlevé Equations / X. Xia // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 31 назв. — англ.

Recently, in a paper by Lin, Dai, and Tibboel, it was shown that the third and fourth Painlevé equations have tronquée and tritronquée solutions. We obtain global information about these tronquée and tritronquée solutions. We find their sectors of analyticity, their Borel summed representations in t...