Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2148
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dc.contributor.authorGürkan, Zeynep Nilhan-
dc.contributor.authorPashaev, Oktay-
dc.date.accessioned2016-09-20T06:40:49Z
dc.date.available2016-09-20T06:40:49Z
dc.date.issued2008-10
dc.identifier.citationGürkan, Z. N., and Pashaev, O. (2008). Integrable vortex dynamics in anisotropic planar spin liquid model. Chaos, Solitons and Fractals, 38(1), 238-253. doi: 10.1016/j.chaos.2006.11.013en_US
dc.identifier.issn0960-0779
dc.identifier.issn0960-0779-
dc.identifier.urihttp://doi.org/10.1016/j.chaos.2006.11.013
dc.identifier.urihttp://hdl.handle.net/11147/2148
dc.description.abstractThe problem of magnetic vortex dynamics in an anisotropic spin liquid model is considered. For incompressible flow the model admits reduction to saturating Bogomolny inequality analytic projections of spin variables, subject the linear holomorphic Schrödinger equation. It allows us to construct N vortex configurations in terms of the complex Hermite polynomials. Using complex Galilean boost transformations, the interaction of the vortices and the vortex chain lattices (vortex crystals) is studied. By the complexified Cole-Hopf transformation, integrable N vortex dynamics is described by the holomorphic Burgers equation. Mapping of the point vortex problem to N-particle problem, the complexified Calogero-Moser system, showing its integrability and the Hamiltonian structure, is given. © 2006 Elsevier Ltd. All rights reserved.en_US
dc.description.sponsorshipTÜBİTAK under the Grant No. 106T447en_US
dc.language.isoenen_US
dc.publisherElsevier Ltd.en_US
dc.relation.ispartofChaos, Solitons and Fractalsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCrystal latticesen_US
dc.subjectMathematical modelsen_US
dc.subjectPolynomial approximationen_US
dc.subjectProblem solvingen_US
dc.subjectSchrodinger equationen_US
dc.subjectVortex flowen_US
dc.titleIntegrable vortex dynamics in anisotropic planar spin liquid modelen_US
dc.typeArticleen_US
dc.authoridTR57865en_US
dc.institutionauthorGürkan, Zeynep Nilhan-
dc.institutionauthorPashaev, Oktay-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume38en_US
dc.identifier.issue1en_US
dc.identifier.startpage238en_US
dc.identifier.endpage253en_US
dc.identifier.wosWOS:000256776600027en_US
dc.identifier.scopus2-s2.0-41949124262en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1016/j.chaos.2006.11.013-
dc.relation.doi10.1016/j.chaos.2006.11.013en_US
dc.coverage.doi10.1016/j.chaos.2006.11.013en_US
dc.identifier.wosqualityQ1-
dc.identifier.scopusqualityQ1-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
crisitem.author.dept04.02. Department of Mathematics-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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