On the Riemann–Hilbert–Birkhoff Inverse Monodromy Problem Associated with the Third Painlevé Equation

2010 ◽  
Vol 96 (1-3) ◽  
pp. 85-108 ◽  
Author(s):  
Alexander Its ◽  
David Niles
Keyword(s):  
Painlevé Equation ◽  
The Third ◽  
Painleve Equation

Solution of the equivalence problem for the third Painlevé equation

2015 ◽  
Vol 56 (1) ◽  
pp. 013507 ◽  
Author(s):  
Yulia Yu. Bagderina ◽  
Nikolai N. Tarkhanov
Keyword(s):  
Equivalence Problem ◽  
Painlevé Equation ◽  
The Third ◽  
Painleve Equation

Asymptotic forms of solutions to the third Painlevé equation

2008 ◽  
Vol 78 (2) ◽  
pp. 765-768 ◽  
Author(s):  
A. D. Bruno ◽  
I. V. Goryuchkina
Keyword(s):  
Painlevé Equation ◽  
The Third ◽  
Painleve Equation ◽  
Asymptotic Forms

scholarly journals Solutions of the third Painlevé equation I

1998 ◽  
Vol 151 ◽  
pp. 1-24 ◽  
Author(s):  
Hiroshi Umemura ◽  
Humihiko Watanabe
Keyword(s):  
Painlevé Equation ◽  
Classical Solutions ◽  
The Third ◽  
Painleve Equation ◽  
Algebraic Solutions

Abstract.We classify transcendental classical solutions of the third Painlevé equation. This result combined with the list of algebraic solutions in [11] gives a complete table of classical solutions of the third Painlevé equation.

Sign in / Sign up

Export Citation Format

Share Document