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

scholarly journals A computational exploration of the McCoy–Tracy–Wu solutions of the third Painlevé equation

2018 ◽  
Vol 363 ◽  
pp. 18-43 ◽  
Author(s):  
Marco Fasondini ◽  
Bengt Fornberg ◽  
J.A.C. Weideman
Keyword(s):  
Painlevé Equation ◽  
The Third ◽  
Computational Exploration ◽  
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

On asymptotic cones of surfaces with constant curvature and the third Painlevé equation

1998 ◽  
Vol 97 (4) ◽  
pp. 489-516 ◽  
Author(s):  
Alexander I. Bobenko ◽  
Alexander V. Kitaev
Keyword(s):  
Constant Curvature ◽  
Painlevé Equation ◽  
Asymptotic Cones ◽  
The Third ◽  
Painleve Equation

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.

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