Remarks on quadratic bundles related to Hermitian symmetric spaces

creativework.publisherInstitute of Physics Publishinghelen.craven@iop.orgen
dc.contributor.authorValchev T.
dc.date.accessioned2024-07-10T14:27:03Z
dc.date.accessioned2024-07-10T14:48:03Z
dc.date.available2024-07-10T14:27:03Z
dc.date.available2024-07-10T14:48:03Z
dc.date.issued2014-01-01
dc.description.abstractWe consider quadratic bundles related to Hermitian symmetric spaces of the type SU(m+n)/S(U(m)×U(n)). We discuss the spectral properties of scattering operator, develop the direct scattering problem associated with it and stress on the effect of reduction on these. By applying a modification of Zakharov-Shabat's dressing procedure we demonstrate how one can obtain reflectionless potentials. That way one is able to generate soliton solutions to the nonlinear evolution equations belonging to the integrable hierarchy associated with quadratic bundles under study.
dc.identifier.doi10.1088/1742-6596/482/1/012044
dc.identifier.issn1742-6596
dc.identifier.issn1742-6588
dc.identifier.scopusSCOPUS_ID:84897017462en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/302
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84897017462&origin=inward
dc.titleRemarks on quadratic bundles related to Hermitian symmetric spaces
dc.typeConference Paper
oaire.citation.issue1
oaire.citation.volume482
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