On soliton interactions for the hierarchy of a generalised Heisenberg ferromagnetic model on SU(3)/S(U(1)×U(2)) symmetric space

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creativework.publisherBulgarian Academy of Sciences, Institute of Mechanicsvirginia@diogenes.bgen
dc.contributor.authorGerdjikov V.
dc.contributor.authorGrahovski G.
dc.contributor.authorMikhailov A.
dc.contributor.authorValchev T.
dc.date.accessioned2024-07-10T14:27:03Z
dc.date.accessioned2024-07-10T14:47:58Z
dc.date.available2024-07-10T14:27:03Z
dc.date.available2024-07-10T14:47:58Z
dc.date.issued2012-03-01
dc.description.abstractWe consider an integrable hierarchy of nonlinear evolution equations (NLEE) related to linear bundle Lax operator L. The Lax representation is ℤ2× ℤ2reduced and can be naturally associated with the symmetric space SU(3)/S(U(1) × U(2)). The simplest nontrivial equation in the hierarchy is a generalization of Heisenberg ferromagnetic model. We construct the N-soliton solutions for an arbitrary member of the hierarchy by using the Zakharov-Shabat dressing method with an appropriately chosen dressing factor. Two types of soliton solutions: quadruplet and doublet solitons are found. The one-soliton solutions of NLEEs with even and odd dispersion laws have different properties. In particular, the one-soliton solutions for NLEEs with even dispersion laws are not traveling waves while their velocities and amplitudes are time dependent. Calculating the asymptotics of the N-soliton solutions for t → ± ∞ we analyze the interactions of quadruplet solitons.
dc.identifier.doi10.7546/jgsp-25-2012-23-55
dc.identifier.issn1314-5673
dc.identifier.issn1312-5192
dc.identifier.scopusSCOPUS_ID:84864770058en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/251
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864770058&origin=inward
dc.titleOn soliton interactions for the hierarchy of a generalised Heisenberg ferromagnetic model on SU(3)/S(U(1)×U(2)) symmetric space
dc.typeArticle
oaire.citation.issueMARCH
oaire.citation.volume25
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