Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. I. Auxiliary System and Fundamental Properties

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creativework.keywordsgauge-equivalent equations, Lax representation, recursion operators, reductions
creativework.publisherTaylor and Francis Ltd.michael.wagreich@univie.ac.aten
dc.contributor.authorYanovski A.B.
dc.contributor.authorValchev T.I.
dc.date.accessioned2024-07-10T14:27:04Z
dc.date.accessioned2024-07-10T14:48:57Z
dc.date.available2024-07-10T14:27:04Z
dc.date.available2024-07-10T14:48:57Z
dc.date.issued2018-04-03
dc.description.abstractWe consider an auxiliary spectral problem originally introduced by Gerdjikov, Mikhailov and Valchev (GMV system) and its modification called pseudo-Hermitian reduction which is extensively studied here for the first time. We describe the integrable hierarchies of both systems in a parallel way and construct recursion operators. Using the concept of gauge equivalence, we construct expansions over the eigenfunctions of recursion operators. This permits us to obtain the expansions for both GMV systems with arbitrary constant asymptotic values of the potential functions in the auxiliary linear problems.
dc.identifier.doi10.1080/14029251.2018.1452676
dc.identifier.issn1776-0852
dc.identifier.issn1402-9251
dc.identifier.scopusSCOPUS_ID:85044049568en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/459
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85044049568&origin=inward
dc.titlePseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. I. Auxiliary System and Fundamental Properties
dc.typeArticle
oaire.citation.issue2
oaire.citation.volume25
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