String equations in Whitham hierarchies: tau-functions and Virasoro constraints

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dc.contributor.authorMartínez Alonso, Luis
dc.contributor.authorMedina Reus, Elena
dc.contributor.authorMañas Baena, Manuel Enrique
dc.date.accessioned2023-06-20T11:03:05Z
dc.date.available2023-06-20T11:03:05Z
dc.date.issued2006-08
dc.description©2006 American Institute of Physics. Partial economical supports from the Spanish DGCYT Program No. FIS2005-00319 and from the European Science Foundation Program No. MISGAM are acknowledged
dc.description.abstractA scheme for solving Whitham hierarchies satisfying a special class of string equations is presented. The tau-function of the corresponding solutions is obtained and the differential expressions of the underlying Virasoro constraints are characterized. Illustrative examples of exact solutions of Whitham hierarchies are derived and applications to conformal maps dynamics are indicated.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipDGCYT, Spain
dc.description.sponsorshipEuropean Science Foundation (MISGAM programme)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/34306
dc.identifier.doi10.1063/1.2218982
dc.identifier.issn0022-2488
dc.identifier.officialurlhttp://dx.doi.org/10.1063/1.2218982
dc.identifier.relatedurlhttp://scitation.aip.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51647
dc.issue.number8
dc.journal.titleJournal of mathematical physics
dc.language.isoeng
dc.publisherAmerican Institute of Physics
dc.relation.projectIDFIS2005-00319
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordDispersionless Kp hierarchy
dc.subject.keywordRandom-matrix ensemble
dc.subject.keywordToda hierarchy
dc.subject.keywordIntegrable hierarchies
dc.subject.keywordAdditional symmetries
dc.subject.keywordConformal-maps
dc.subject.keywordGrowth
dc.subject.keywordcurve
dc.subject.keywordLimit
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleString equations in Whitham hierarchies: tau-functions and Virasoro constraints
dc.typejournal article
dc.volume.number47
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