Recursion operators and reductions of integrable equations on symmetric spaces

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creativework.publisherBulgarian Academy of Sciences, Institute of Mechanicsjgsp@obzor.bio21.bas.bgen
dc.contributor.authorGerdjikov V.S.
dc.contributor.authorMikhailov A.V.
dc.contributor.authorValchev T.I.
dc.date.accessioned2024-07-10T14:27:03Z
dc.date.accessioned2024-07-10T14:47:31Z
dc.date.available2024-07-10T14:27:03Z
dc.date.available2024-07-10T14:47:31Z
dc.date.issued2010-01-01
dc.description.abstractWe study certain classes of integrable nonlinear differential equations related to the type symmetric spaces. Our main examples concern equations related to A.III-type symmetric spaces. We use the Cartan involution corresponding to this symmetric space as an element of the reduction group and restrict generic Lax operators to this symmetric space. Next we outline the spectral theory of the reduced Lax operator L and construct its fundamental analytic solutions. Analyzing the Wronskian relations we introduce the 'squared solutions' of L and derive the recursion operators by three different methods.
dc.identifier.doi10.7546/jgsp-20-2010-1-34
dc.identifier.issn1314-5673
dc.identifier.issn1312-5192
dc.identifier.scopusSCOPUS_ID:79955103088en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/212
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79955103088&origin=inward
dc.titleRecursion operators and reductions of integrable equations on symmetric spaces
dc.typeArticle
oaire.citation.volume20
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