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dc.creatorCuevas-Maraver, Jesúses
dc.creatorMalomed, Boris A.es
dc.creatorKevrekidis, Panayotis G.es
dc.date.accessioned2016-05-30T10:00:12Z
dc.date.available2016-05-30T10:00:12Z
dc.date.issued2016
dc.identifier.citationCuevas-Maraver, J., Malomed, B.A. y Kevrekidis, P.G. (2016). A PT-Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling. Symmetry, 8 (6), 39-.
dc.identifier.issn2073-8994es
dc.identifier.urihttp://hdl.handle.net/11441/41652
dc.description.abstractAs an extension of the class of nonlinear PT-symmetric models, we propose a system of sine-Gordon equations, with the PT symmetry represented by balanced gain and loss in them. The equations are coupled by sine-field terms and first-order derivatives. The sinusoidal coupling stems from local interaction between adjacent particles in coupled Frenkel–Kontorova (FK) chains, while the cross-derivative coupling, which was not considered before, is induced by three-particle interactions, provided that the particles in the parallel FK chains move in different directions. Nonlinear modes are then studied in this system. In particular, kink-kink (KK) and kink-anti-kink (KA) complexes are explored by means of analytical and numerical methods. It is predicted analytically and confirmed numerically that the complexes are unstable for one sign of the sinusoidal coupling and stable for another. Stability regions are delineated in the underlying parameter space. Unstable complexes split into free kinks and anti-kinks that may propagate or become quiescent, depending on whether they are subject to gain or loss, respectively.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherMDPIes
dc.relation.ispartofSymmetry, 8 (6), 39.es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectkinks and anti-kinkses
dc.subjectsoliton complexeses
dc.subjectFrenkel–Kontorova modeles
dc.subjectcross-derivative couplinges
dc.subjectthree-body interactionses
dc.titleA PT-Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Couplinges
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de FÍsica Aplicada Ies
dc.relation.publisherversionhttp://www.mdpi.com/2073-8994/8/6/39#statses
dc.identifier.doihttp://dx.doi.org/10.3390/sym8060039es
dc.contributor.groupUniversidad de Sevilla. FQM280: Física no lineales
idus.format.extent20 p.es
dc.journaltitleSymmetryes
dc.publication.volumen8es
dc.publication.issue6es
dc.publication.initialPage39es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/41652

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