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A PT-Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling

 

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dc.creator Cuevas-Maraver, Jesús es
dc.creator Malomed, Boris A. es
dc.creator Kevrekidis, Panayotis G. es
dc.date.accessioned 2016-05-30T10:00:12Z
dc.date.available 2016-05-30T10:00:12Z
dc.date.issued 2016
dc.identifier.citation Cuevas-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.issn 2073-8994 es
dc.identifier.uri http://hdl.handle.net/11441/41652
dc.description.abstract As 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.format application/pdf es
dc.language.iso eng es
dc.publisher MDPI es
dc.relation.ispartof Symmetry, 8 (6), 39. es
dc.rights Attribution-NonCommercial-NoDerivatives 4.0 Internacional *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ *
dc.subject kinks and anti-kinks es
dc.subject soliton complexes es
dc.subject Frenkel–Kontorova model es
dc.subject cross-derivative coupling es
dc.subject three-body interactions es
dc.title A PT-Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling es
dc.type info:eu-repo/semantics/article es
dc.type.version info:eu-repo/semantics/publishedVersion es
dc.rights.accessrights info:eu-repo/semantics/openAccess es
dc.contributor.affiliation Universidad de Sevilla. Departamento de FÍsica Aplicada I es
dc.relation.publisherversion http://www.mdpi.com/2073-8994/8/6/39#stats es
dc.identifier.doi http://dx.doi.org/10.3390/sym8060039 es
dc.contributor.group Universidad de Sevilla. FQM280: Física no lineal es
idus.format.extent 20 p. es
dc.journaltitle Symmetry es
dc.publication.volumen 8 es
dc.publication.issue 6 es
dc.publication.initialPage 39 es
dc.identifier.idus https://idus.us.es/xmlui/handle/11441/41652
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