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Singular sector of the Kadomtsev–Petviashvili hierarchy, δ̅ operators of nonzero index, and associated integrable systems

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dc.contributor.authorKonopelchenko, Boris
dc.contributor.authorMartínez Alonso, Luis
dc.contributor.authorMedina Reus, Elena
dc.date.accessioned2023-06-20T20:12:18Z
dc.date.available2023-06-20T20:12:18Z
dc.date.issued2000-01
dc.description©2000 American Institute of Physics. This work was partially supported by CICYT Proyecto No. PB95-0401.
dc.description.abstractIntegrable hierarchies associated with the singular sector of the Kadomtsev– Petviashvili (KP) hierarchy, or equivalently, with δ̅ operators of nonzero index are studied. They arise as the restriction of the standard KP hierarchy to submanifolds of finite codimension in the space of independent variables. For higher δ̅ index these hierarchies represent themselves as families of multidimensional equations with multidimensional constraints. The δ̅ -dressing method is used to construct these hierarchies. Hidden Korteweg–de Vries, Boussinesq, and hidden Gelfand–Dikii hierarchies are considered, too.
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/34458
dc.identifier.doi10.1063/1.533148
dc.identifier.issn0022-2488
dc.identifier.officialurlhttp://dx.doi.org/10.1063/1.533148
dc.identifier.relatedurlhttp://scitation.aip.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59828
dc.issue.number4
dc.journal.titleJournal of mathematical physics
dc.language.isoeng
dc.page.final413
dc.page.initial385
dc.publisherAmerican Institute of Physics
dc.relation.projectIDPB95-0401
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordPartial-differential equations
dc.subject.keywordEvolution-equations
dc.subject.keywordPainleve property
dc.subject.keywordConstraints
dc.subject.keywordMatrices
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleSingular sector of the Kadomtsev–Petviashvili hierarchy, δ̅ operators of nonzero index, and associated integrable systems
dc.typejournal article
dc.volume.number41
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