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July 2011 Symmetric solutions for the two dimensional degenerate Garnier system G(5)
Kazuo Kaneko
Proc. Japan Acad. Ser. A Math. Sci. 87(7): 114-118 (July 2011). DOI: 10.3792/pjaa.87.114

Abstract

We classify the symmetric solutions for the two dimensional degenerate Garnier system G(5) which is a generalization of the second Painlevé equation. We calculate the linear monodromy of the symmetric solutions explicitly.

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Kazuo Kaneko. "Symmetric solutions for the two dimensional degenerate Garnier system G(5)." Proc. Japan Acad. Ser. A Math. Sci. 87 (7) 114 - 118, July 2011. https://doi.org/10.3792/pjaa.87.114

Information

Published: July 2011
First available in Project Euclid: 7 July 2011

zbMATH: 1237.34150
MathSciNet: MR2821575
Digital Object Identifier: 10.3792/pjaa.87.114

Subjects:
Primary: 34M55
Secondary: 33C15

Keywords: Garnier system , monodromy data , Painlevé equation

Rights: Copyright © 2011 The Japan Academy

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Vol.87 • No. 7 • July 2011
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