On matrix fourth Painlevé hierarchies

dc.contributor.authorGordoa, Pilar R
dc.contributor.authorPickering, Andrew
dc.date.accessioned2024-12-02T14:21:41Z
dc.date.available2024-12-02T14:21:41Z
dc.date.issued2021
dc.descriptionThe work of PRG and AP is supported by the Ministry of Economy and Competitiveness of Spain under contract MTM2016-80276-P (AEI/FEDER, EU).es
dc.description.abstractWe define new matrix fourth Painlevé hierarchies and a new matrix second Painlevé hierarchy. For our matrix fourth Painlevé hierarchies, properties such as auto-Bäcklund transformations, Bäcklund transfor mations and special integrals are derived, and known relations between fourth Painlevé transformations are extended to the matrix ODE hierarchies. The matrix ODE hierarchies presented here are derived as reductions of a new nonisospectral matrix dispersive water wave hierarchy and modifications thereof.es
dc.identifier.citationJournal of Differential Equations 271 (2021) 499–532es
dc.identifier.citationP.R. Gordoa, A. Pickering, On matrix fourth Painlevé hierarchies, Journal of Differential Equations, Volume 271, 2021, Pages 499-532, ISSN 0022-0396, https://doi.org/10.1016/j.jde.2020.08.013
dc.identifier.doi10.1016/j.jde.2020.08.013es
dc.identifier.issn0022-0396
dc.identifier.urihttps://hdl.handle.net/10115/42251
dc.language.isoenges
dc.publisherElsevieres
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectmatrix Painlevé hierarchieses
dc.subjectauto-Bäcklund transformationses
dc.titleOn matrix fourth Painlevé hierarchieses
dc.typeinfo:eu-repo/semantics/articlees

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