On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results
type: Item
instance of: scholarly article
title: On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results
zbMATH Open document ID: 0651.34058
DOI: 10.1016/0022-0396(87)90175-6
author: Gilles Lebeau
author: Pierre Lochak
published in: Journal of Differential Equations
publication date: 1987-01-01T00:00:00Z
review text: This paper proves the existence of asymptotic expansions to all orders for the solutions of the second Painlevé equation. Using the linearization obtained via a Riemann-Hilbert problem, the amplitude part of the connection formula for this equation is derived, and some other results obtained.
reviewed by: Michael Sever
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 4061713
zbMATH Keywords: second Painlevé equation
zbMATH Keywords: Riemann-Hilbert problem
MaRDI profile type: Publication
full work available at URL: 0022-0396(87)90175-6
OpenAlex ID: W2163774949
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cites work: Painlevé property of monodromy preserving deformation equations and the analyticity of \(\tau\) functions
description: scientific article; zbMATH DE number 4061713