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The extended second Painlevé hierarchy: Auto-Bäcklund transformations and special integrals

dc.contributor.authorGordoa, P.R.
dc.contributor.authorPickering, A.
dc.date.accessioned2024-12-02T08:22:11Z
dc.date.available2024-12-02T08:22:11Z
dc.date.issued2025-02
dc.identifier.citationP.R. Gordoa, A. Pickering, The extended second Painlevé hierarchy: Auto-Bäcklund transformations and special integrals, Journal of Differential Equations, Volume 417, 2025, Pages 132-163, ISSN 0022-0396, https://doi.org/10.1016/j.jde.2024.11.017es
dc.identifier.issn1090-2732 (online)
dc.identifier.issn0022-0396 (print)
dc.identifier.urihttps://hdl.handle.net/10115/42223
dc.descriptionProject PID2020-115273GB-I00 funded by MCIN/AEI/10.13039/501100011033. Grant RED2022-134301-T funded by MCIN/AEI/10.13039/501100011033. We also gratefully acknowledge financial support from the Universidad Rey Juan Carlos as members of the Grupo de investigación de alto rendimiento DELFO.es
dc.description.abstractWe return to our study of the extended second Painlevé hierarchy presented in a previous paper. For this hierarchy we give a new local auto-BT. We also give an extensive discussion of the iterative construction of solutions and special integrals using auto-BTs. Furthermore, we show that Lax pairs can be provided for special integrals. Even though this will, in fact, be the case quite generally, it seems that Lax pairs for special integrals have not been given previously. Amongst the equations for which we present Lax pairs are examples due to Cosgrove and, in classical Painlevé classification results, Chazy.es
dc.language.isoenges
dc.publisherElsevieres
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectExtended second Painlevé hierarchyes
dc.subjectAuto-Bäcklund transformationses
dc.subjectSpecial integralses
dc.subjectLax pairses
dc.titleThe extended second Painlevé hierarchy: Auto-Bäcklund transformations and special integralses
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.1016/j.jde.2024.11.017es
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses


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Atribución 4.0 InternacionalExcept where otherwise noted, this item's license is described as Atribución 4.0 Internacional