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2005-11-02Buch DOI: 10.18452/2554
Two dimensional KP systems and their solvability
dc.contributor.authorZheglov, Alexander
dc.date.accessioned2017-06-15T17:32:10Z
dc.date.available2017-06-15T17:32:10Z
dc.date.created2005-11-02
dc.date.issued2005-11-02
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3206
dc.description.abstractIn this paper we introduce new various generalizations of the classical Kadomtsev-Petviashvili hierarchy in the case of operators in several variables. These generalizations are the candidates for systems that should play the role, analogous to the role of the KP hierarchy in the classical KP theory, in a generalized KP theory. In particular, they should describe flows of some generalized geometric datas, including those described by A.N.Parshin, for certain initial conditions. The unique solvability of the initial value problem for the generalized KP hierarchies is established. The connection of these systems with universal families of isospectral deformations of certain pairs of commuting differential operators is opened. To prove the solvability of the systems we generalize several results from the works of M.Mulase and A.N.Parshin.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectCompletely integrable systemseng
dc.subjectintegrability testseng
dc.subjectbi-Hamiltonian structureseng
dc.subjecthierarchieseng
dc.subjectKdV-like equationseng
dc.subjectMicrolocal methodseng
dc.subjectmethods of sheaf theory and homological algebra in PDEeng
dc.subject.ddc510 Mathematik
dc.titleTwo dimensional KP systems and their solvability
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10051747
dc.identifier.doihttp://dx.doi.org/10.18452/2554
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages42
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2005
local.edoc.container-issue4
local.edoc.container-year2005
local.edoc.container-erstkatid2075199-0

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