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

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

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Autor: Cuevas-Maraver, Jesús
Malomed, Boris A.
Kevrekidis, Panayotis G.
Departamento: Universidad de Sevilla. Departamento de FÍsica Aplicada I
Fecha: 2016
Publicado en: Symmetry, 8 (6), 39.
Tipo de documento: Artículo
Resumen: 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 ki...
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Cita: 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-.
Tamaño: 1.074Mb
Formato: PDF

URI: http://hdl.handle.net/11441/41652

DOI: http://dx.doi.org/10.3390/sym8060039

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