Hermitian and pseudo-hermitian reduction of the GMV auxiliary system. Spectral properties of the recursion operators

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creativework.keywordsExpansions over adjoint solutions, Gauge-equivalent soliton equations, Recursion Operators
creativework.publisherSpringer Verlagservice@springer.deen
dc.contributor.authorYanovski A.B.
dc.contributor.authorValchev T.I.
dc.date.accessioned2024-07-10T14:27:04Z
dc.date.accessioned2024-07-10T14:49:01Z
dc.date.available2024-07-10T14:27:04Z
dc.date.available2024-07-10T14:49:01Z
dc.date.issued2019-01-01
dc.description.abstractWe consider simultaneously two different reductions of a Zakharov-Shabat’s spectral problem in pole gauge. Using the concept of gauge equivalence, we construct expansions over the eigenfunctions of the Recursion Operators related to the afore-mentioned spectral problem with arbitrary constant asymptotic values of the potential functions. In doing this, we take into account the discrete spectrum of the scattering operator. Having in mind the applications to the theory of the soliton equations associated to the GMV systems, we show how these expansions modify depending on the symmetries of the functions we expand.
dc.identifier.doi10.1007/978-3-319-97277-0_35
dc.identifier.issn1860-949X
dc.identifier.scopusSCOPUS_ID:85054157264en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/492
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85054157264&origin=inward
dc.titleHermitian and pseudo-hermitian reduction of the GMV auxiliary system. Spectral properties of the recursion operators
dc.typeBook Chapter
oaire.citation.volume793
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