Dressing method and quadratic bundles related to symmetric spaces. Vanishing boundary conditions

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creativework.publisherAmerican Institute of Physics Inc.subs@aip.orgen
dc.contributor.authorValchev T.I.
dc.date.accessioned2024-07-10T14:27:03Z
dc.date.accessioned2024-07-10T14:48:30Z
dc.date.available2024-07-10T14:27:03Z
dc.date.available2024-07-10T14:48:30Z
dc.date.issued2016-02-01
dc.description.abstractWe consider quadratic bundles related to Hermitian symmetric spaces of the type SU(m + n)/S(U(m) × U(n)). The simplest representative of the corresponding integrable hierarchy is given by a multi-component Kaup-Newell derivative nonlinear Schrödinger equation which serves as a motivational example for our general considerations. We extensively discuss how one can apply Zakharov-Shabat's dressing procedure to derive reflectionless potentials obeying zero boundary conditions. Those could be used for one to construct fast decaying solutions to any nonlinear equation belonging to the same hierarchy. One can distinguish between generic soliton type solutions and rational solutions.
dc.identifier.doi10.1063/1.4940996
dc.identifier.issn0022-2488
dc.identifier.scopusSCOPUS_ID:84957900706en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/365
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84957900706&origin=inward
dc.titleDressing method and quadratic bundles related to symmetric spaces. Vanishing boundary conditions
dc.typeArticle
oaire.citation.issue2
oaire.citation.volume57
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