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 - Department of Mathematics
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.
Last Updated Date : 05/01/2015
