Invertible point transformations, Painlevé test, and the second Painlevé transcendent
type: Item
instance of: scholarly article
title: Invertible point transformations, Painlevé test, and the second Painlevé transcendent
zbMATH Open document ID: 0731.34006
DOI: 10.1007/BF00671014
author: L. G. S. Duarte
author: I. C. Moreira
author: N. Euler
author: Willi-Hans Steeb
published in: International Journal of Theoretical Physics
publication date: 1991-01-01T00:00:00Z
review text: The rather complicated condition given by Euler et al. (1989) that the anharmonic oscillator \(u''+f_ 1(t)u'+f_ 2(t)+f_ 3u^ 3=0\) passes the Painlevé test is shown to be identical to the condition that the anharmonic oscillator can be transformed to the second Painlevé transcendent.
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 4208522
zbMATH Keywords: nonlinear ordinary differential equations
zbMATH Keywords: anharmonic oscillator
zbMATH Keywords: Painlevé test
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00671014
OpenAlex ID: W1990300840
description: scientific article; zbMATH DE number 4208522