A certain expression of the first Painlevé hierarchy

Shun Shimomura

doi:10.3792/pjaa.80.105

A certain expression of the first Painlevé hierarchy

Shun Shimomura

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

We show that each equation in the first Painlevé hierarchy is equivalent to a system of nonlinear equations determined by a kind of generating function, and that it admits the Painlevé property. Our results are derived from the fact that the first Painlevé hierarchy follows from isomonodrornic deformation of certain linear systems with an irregular singular point.

Original language	English
Pages (from-to)	105-109
Number of pages	5
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	80
Issue number	6
DOIs	https://doi.org/10.3792/pjaa.80.105
Publication status	Published - 2004 Jun
Externally published	Yes

Keywords

Isomonodromic deformation
The first Painlevé hierarchy

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.80.105

Cite this

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A certain expression of the first Painlevé hierarchy

Abstract

Keywords

ASJC Scopus subject areas

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