On an extended second Painlevé hierarchy
type: Item
instance of: scholarly article
title: On an extended second Painlevé hierarchy
zbMATH Open document ID: 1372.34135
published in: Journal of Differential Equations
publication date: 2017-08-03T00:00:00Z
review text: The authors present an extension of the second Painleve hierarchy (a hierarchy of integrable ODEs) that they call `extended second Painlevé hierarchy'. They construct a Lax pair for the hierarchy and study (auto-) Bäcklund transformations. The work builds on the method of non-isospectral deformation, studied in [\textit{D. Levi} et al., Theor. Math. Phys. 93, No. 3, 1 (1992; Zbl 0801.35122)], and further developed by the authors [J. Math. Phys. 40, No. 11, 5749--5786 (1999; Zbl 1063.37544)]. The paper under review is full of detailed computations but the Painlevé property of the equations of the hierarchy is not addressed explicitly.
reviewed by: D. Masoero
Mathematics Subject Classification ID: 34M55
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 33E17
zbMATH DE Number: 6756309
zbMATH Keywords: extended second Painlevé hierarchy
zbMATH Keywords: Bäcklund transformations
zbMATH Keywords: nested equations
author: Pilar R. Gordoa
author: Andrew Pickering
MaRDI profile type: Publication
full work available at URL: j.jde.2017.05.014
OpenAlex ID: W2624255674
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DOI: 10.1016/J.JDE.2017.05.014
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