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A short note on the Painlevé XXV–Ermakov equation

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cris.lastimport.scopus2024-02-12T20:25:21Z
dc.abstract.enSolutions of the second member of the Riccati chain and of the corresponding third order linear differential equation are related to solutions of the so-called Painlev é XXV–Ermakov equation via the Schwarzian derivative. The reduction to the generalized Ermakov equation is shown to arise naturally from the Painlevé XXV–Ermakov equation. Specifically, the first order system of ordinary differentia equations, equivalent to the Painlevé XXV–Ermakov equation, is analyzed by resolving points of indeterminacy of the vector field over P1 × P1.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorFilipuk, Galina
dc.contributor.authorZullo, Federico
dc.contributor.authorChichurin, Alexander
dc.contributor.authorCarillo, Sandra
dc.date.accessioned2024-01-24T18:12:26Z
dc.date.available2024-01-24T18:12:26Z
dc.date.issued2022
dc.description.financePublikacja bezkosztowa
dc.description.volume131
dc.identifier.doi10.1016/J.AML.2022.108064
dc.identifier.issn0893-9659
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/101863
dc.identifier.weblinkhttps://api.elsevier.com/content/article/PII:S089396592200091X?httpAccept=text/xml
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofApplied Mathematics Letters
dc.relation.pages1-5
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enPainlevé equations, Ermakov’s equation, Riccati equation, Blowup Birational transformation
dc.titleA short note on the Painlevé XXV–Ermakov equation
dc.typeReviewArticle
dspace.entity.typePublication