# On Boutroux's Tritronqu\'ee Solutions of the First Painlev\'e Equation

Seminar
Speaker
Michael Twito, University of Sydney Australia
Date
12/01/2015 - 16:05 - 15:05Add to Calendar 2015-01-12 15:05:00 2015-01-12 16:05:00 On Boutroux's Tritronqu\'ee Solutions of the First Painlev\'e Equation The triply truncated solutions of the first Painlev\'e equation were specified by Boutroux  in his famous paper of 1913 as those having no poles (of large modulus) except in one sector  of angle $2\pi/5$. There are five such solutions and each of them can be obtained from any  other one by applying a certain symmetry transformation. One of these solutions is real on  the real axis. We will discuss a characteristic property of this solution (discovered by Prof.  Joshi, and Prof. Kitaev), different from the asymptotic description given by Boutroux. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

The triply truncated solutions of the first Painlev\'e equation were specified by Boutroux
in his famous paper of 1913 as those having no poles (of large modulus) except in one sector
of angle $2\pi/5$. There are five such solutions and each of them can be obtained from any
other one by applying a certain symmetry transformation. One of these solutions is real on
the real axis. We will discuss a characteristic property of this solution (discovered by Prof.
Joshi, and Prof. Kitaev), different from the asymptotic description given by Boutroux.

תאריך עדכון אחרון : 05/01/2015