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Auto-Backlund transformations and special integrals for differential-delay Painlevé hierarchies
dc.contributor.author | Fedorov, Yuri |
dc.contributor.author | Ruiz Gordoa, Maria Pilar |
dc.contributor.author | Pickering, Andrew |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2014-07-15T10:29:35Z |
dc.date.created | 2014-10-01 |
dc.date.issued | 2014-10-01 |
dc.identifier.citation | Fedorov, 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.issn | 1007-5704 |
dc.identifier.uri | http://hdl.handle.net/2117/23511 |
dc.description.abstract | The 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.extent | 7 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.other | Differential-delay Painleve hierarchies |
dc.subject.other | MONODROMY PRESERVING DEFORMATION |
dc.subject.other | RATIONAL COEFFICIENTS |
dc.subject.other | EQUATIONS |
dc.title | Auto-Backlund transformations and special integrals for differential-delay Painlevé hierarchies |
dc.type | Article |
dc.subject.lemac | Sistemes dinàmics diferenciables |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.identifier.doi | 10.1016/j.cnsns.2014.03.027 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S1007570414001531 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 14935058 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Fedorov, Y.; Ruiz, M.; Pickering, A. |
local.citation.publicationName | Communications in nonlinear science and numerical simulation |
local.citation.volume | 19 |
local.citation.number | 10 |
local.citation.startingPage | 3462 |
local.citation.endingPage | 3468 |
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