Open Access
May 2005 A new solution of the fourth Painlevé equation with a solvable monodromy
Kazuo Kaneko
Proc. Japan Acad. Ser. A Math. Sci. 81(5): 75-79 (May 2005). DOI: 10.3792/pjaa.81.75

Abstract

We will study a new special solution of the fourth Painlevé equation, for which we can calculate the linear monodromy exactly. We will show the relation between Umemura's classical solutions and our solutions.

Citation

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Kazuo Kaneko. "A new solution of the fourth Painlevé equation with a solvable monodromy." Proc. Japan Acad. Ser. A Math. Sci. 81 (5) 75 - 79, May 2005. https://doi.org/10.3792/pjaa.81.75

Information

Published: May 2005
First available in Project Euclid: 3 June 2005

zbMATH: 1097.34555
MathSciNet: MR2143546
Digital Object Identifier: 10.3792/pjaa.81.75

Subjects:
Primary: 34M55
Secondary: 33C15

Keywords: monodromy data , The Painlevé equation

Rights: Copyright © 2005 The Japan Academy

Vol.81 • No. 5 • May 2005
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