The power expansions of the solutions of the first painlevé hierarchy

The power expansions of the solutions of the first painlevé hierarchy

In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. For these equations three types of power expansions, i.e. holomorphic, polar and asymptotic are found. As an example the equation of the fourth order is considered. First Published Online: 14 Oct...

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Bibliographic Details
Main Authors: A. A. Grigor'ev, V. I. Gromak
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2006-12-01
Series:Mathematical Modelling and Analysis
Subjects:
Painlevé equation
P‐type equations
power expansions
power geometry
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9648
Description
Summary:In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. For these equations three types of power expansions, i.e. holomorphic, polar and asymptotic are found. As an example the equation of the fourth order is considered. First Published Online: 14 Oct 2010
ISSN:1392-6292
1648-3510

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