Open Problems for Painlevé Equations

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dc.contributor.authorClarkson, P.A.
dc.date.accessioned2025-12-02T09:37:51Z
dc.date.issued2019
dc.description.abstractIn this paper, some open problems for Painlevé equations are discussed. In particular, the following open problems are described: (i) the Painlevé equivalence problem; (ii) notation for solutions of the Painlevé equations; (iii) numerical solution of Painlevé equations; and (iv) the classification of properties of Painlevé equations.
dc.description.sponsorshipI would like to thank Mark Ablowitz, Andrew Bassom, Chris Cosgrove, Alfredo Deaño, Percy Deift, Marco Fasondini, Bengt Fornberg, David Gómez-Ullate, Rod Halburd, Andrew Hone, Alexander Its, Kerstin Jordaan, Nalini Joshi, Erik Koelink, Martin Kruskal, Ana Loureiro, Elizabeth Mansfield, Marta Mazzocco, Bryce McLeod, Peter Miller, Walter Van Assche, and André Weideman for their helpful comments and illuminating discussions.
dc.identifier.citationOpen Problems for Painlevé Equations / P.A. Clarkson // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 146 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.006
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33E17; 34M55
dc.identifier.otherarXiv: 1901.10122
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210069
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleOpen Problems for Painlevé Equations
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік