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dc.contributor.authorFedorov, Yuri
dc.contributor.authorRuiz Gordoa, Maria Pilar
dc.contributor.authorPickering, Andrew
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2014-07-15T10:29:35Z
dc.date.created2014-10-01
dc.date.issued2014-10-01
dc.identifier.citationFedorov, Y.; Ruiz, M.; Pickering, A. Auto-Backlund transformations and special integrals for differential-delay Painlevé hierarchies. "Communications in nonlinear science and numerical simulation", 01 Octubre 2014, vol. 19, núm. 10, p. 3462-3468.
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/2117/23511
dc.description.abstractThe six Painleve equations have attracted much interest over the last thirty years or so. More recently many authors have begun to explore properties of higher-order versions of both these equations and their discrete analogues. However, little attention has been paid to differential-delay Painleve equations, i.e., analogues of the Painleve equations involving both shifts in and derivatives with respect to the independent variable, and even less to higher-order analogues of these last. In the current paper we discuss the phenomenon whereby members of one differential-delay Painleve hierarchy define solutions of higher-order members of a second differential-delay Painleve hierarchy. We also give an auto-Backlund transformation for a differential-delay Painleve hierarchy. The key to our approach is the underlying Hamiltonian structure of related completely integrable lattice hierarchies. (C) 2014 Elsevier B.V. All rights reserved.
dc.format.extent7 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.otherDifferential-delay Painleve hierarchies
dc.subject.otherMONODROMY PRESERVING DEFORMATION
dc.subject.otherRATIONAL COEFFICIENTS
dc.subject.otherEQUATIONS
dc.titleAuto-Backlund transformations and special integrals for differential-delay Painlevé hierarchies
dc.typeArticle
dc.subject.lemacSistemes dinàmics diferenciables
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.identifier.doi10.1016/j.cnsns.2014.03.027
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S1007570414001531
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac14935058
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
local.citation.authorFedorov, Y.; Ruiz, M.; Pickering, A.
local.citation.publicationNameCommunications in nonlinear science and numerical simulation
local.citation.volume19
local.citation.number10
local.citation.startingPage3462
local.citation.endingPage3468


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