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dc.contributor.authorDunajski, Maciejen
dc.contributor.authorFerapontov, EVen
dc.contributor.authorKruglikov, Ben
dc.date.accessioned2015-08-18T14:23:18Z
dc.date.available2015-08-18T14:23:18Z
dc.date.issued2015-08-03en
dc.identifier.citationJournal of Mathematical Physics 56, 083501 (2015); http://dx.doi.org/10.1063/1.4927251en
dc.identifier.issn0022-2488
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/250304
dc.description.abstractThe equations governing anti-self-dual and Einstein-Weyl conformal geometries can be regarded as ‘master dispersionless systems’ in four and three dimensions respectively. Their integrability by twistor methods has been established by Penrose and Hitchin. In this note we present, in specially adapted coordinate systems, explicit forms of the corresponding equations and their Lax pairs. In particular, we demonstrate that any Lorentzian Einstein-Weyl structure is locally given by a solution to the Manakov-Santini system, and we find a system of two coupled third-order scalar PDEs for a general anti-self-dual conformal structure in neutral signature.
dc.languageEnglishen
dc.language.isoenen
dc.publisherAIP Publishing
dc.titleOn the Einstein-Weyl and conformal self-duality equationsen
dc.typeArticle
dc.description.versionThis is the accepted manuscript. The final version is available at http://scitation.aip.org/content/aip/journal/jmp/56/8/10.1063/1.4927251.en
prism.number083501en
prism.publicationDate2015en
prism.publicationNameJournal of Mathematical Physicsen
prism.volume56en
rioxxterms.versionofrecord10.1063/1.4927251en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2015-08-03en
dc.identifier.eissn1089-7658
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idSTFC (ST/J000434/1)
pubs.funder-project-idSTFC (ST/L000385/1)


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