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A Pt-Symmetric Dual-Core System With The Sine-Gordon Nonlinearity And Derivative Coupling, Jesus Cuevas-Maraver, Boris Malomed, Panos Kevrekidis

Mathematics and Statistics Department Faculty Publication Series

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-antikink (KA) complexes are explored …