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The δ̅ -approach to the dispersionless KP hierarchy

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dc.contributor.authorKonopelchenko, Boris
dc.contributor.authorMartínez Alonso, Luis
dc.contributor.authorRagnisco, O.
dc.date.accessioned2023-06-20T20:12:16Z
dc.date.available2023-06-20T20:12:16Z
dc.date.issued2001-11-30
dc.description©2001 IOP Publishing Ltd. L Martínez Alonso is partially supported by CICYT proyecto PB98–0821.
dc.description.abstractThe dispersionless limit of the scalar nonlocal a-problem is derived. It is given by a special class of nonlinear first-order equations. A quasiclassical version of the partial derivative -dressing method is presented. It is shown that the algebraic formulation of dispersionless hierarchies can be expressed in terms of properties of Beltrami-type equations. The universal Whitham hierarchy and, in particular, the dispersionless KP hierarchy turn out to be rings of symmetries for the quasiclassical partial derivative -problem.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipCICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/34451
dc.identifier.doi10.1088/0305-4470/34/47/322
dc.identifier.issn0305-4470
dc.identifier.officialurlhttp://dx.doi.org/10.1088/0305-4470/34/47/322
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttp://arxiv.org/abs/nlin/0103023
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59826
dc.issue.number49
dc.journal.titleJournal of physics A: Mathematical and general
dc.language.isoeng
dc.page.final10217
dc.page.initial10209
dc.publisherIOP Publishing
dc.relation.projectIDPB98–0821.
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordKorteweg-devries equation
dc.subject.keywordIntegrable hierarchies
dc.subject.keywordLimit
dc.subject.keywordModels
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleThe δ̅ -approach to the dispersionless KP hierarchy
dc.typejournal article
dc.volume.number34
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