Symmetry and singularity properties of second-order ordinary differential equations of Lie's Type III.
type: Item
instance of: scholarly article
title: Symmetry and singularity properties of second-order ordinary differential equations of Lie's Type III.
zbMATH Open document ID: 1121.34091
author: K. Andriopoulos
author: P. G. L. Leach
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-02-12T00:00:00Z
review text: The canonical equation of Type III in Lie's classification of scalar second-order ordinary differential equations is studied from the viewpoint of it being linearizable and possessing the Painlevé property. It is shown that there is a wider class of equations than the so-called modified Painlevé Ince equation, which is of Type III, that can be linearized via nonlocal transformations. In this class, a relationship between the parameters of the singularity analysis and the structure of the reduced equation is found.
Mathematics Subject Classification ID: 34M55
Mathematics Subject Classification ID: 34C14
zbMATH DE Number: 5123999
zbMATH Keywords: Painlevé property
zbMATH Keywords: symmetry
zbMATH Keywords: linearization
describes a project that uses: DIMSYM
describes a project that uses: LIE
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.06.006
OpenAlex ID: W2039428196
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DOI: 10.1016/J.JMAA.2006.06.006
description: scientific article; zbMATH DE number 5123999