On nonlocal reductions of a generalized Heisenberg ferromagnet equation

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creativework.publisherAmerican Institute of Physics Inc.subs@aip.orgen
dc.contributor.authorValchev T.
dc.contributor.authorMyrzakulov R.
dc.contributor.authorNugmanova G.
dc.contributor.authorYesmakhanova K.
dc.date.accessioned2024-07-10T14:27:04Z
dc.date.accessioned2024-07-10T14:49:30Z
dc.date.available2024-07-10T14:27:04Z
dc.date.available2024-07-10T14:49:30Z
dc.date.issued2019-10-02
dc.description.abstractWe study nonlocal reductions of a coupled system of equations in 1 + 1 dimensions of the Heisenberg ferromagnet type. The system under consideration is completely integrable through inverse scattering transform and has a Lax pair related to a linear bundle in pole gauge. We describe the integrable hierarchy of nonlinear equations related to our system in terms of generating operators. We present some special solutions associated with four distinct discrete eigenvalues of scattering operator. Using the Lax pair diagonalization method, we derive recurrence formulas for the conserved densities and find the first two simplest densities.
dc.identifier.doi10.1063/1.5127502
dc.identifier.issn1551-7616
dc.identifier.issn0094-243X
dc.identifier.scopusSCOPUS_ID:85074341136en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/554
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85074341136&origin=inward
dc.titleOn nonlocal reductions of a generalized Heisenberg ferromagnet equation
dc.typeConference Paper
oaire.citation.volume2159
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