Emission of waves by moving kinks in a spatially modulated sine-Gordon system

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Abstract
Emission of radiation (quasilinear waves) by a periodic array of moving kinks is investigated within the framework of a driven damped sine-Gordon model with the additional perturbing term εF(x)sinφ. At first, radiative energy losses of a solitary kink are studied in detail; new emission-induced steps on the one-kink velocity-drive characteristic (VDC) are predicted. Next, interference of waves emitted by kinks belonging to a rarefied periodic array is considered. Emission-induced steps on the array’s VDC are described in detail. Emission of radiation by a densely packed array (represented by a nearly linear solution of the SG equation) is also considered, and the corresponding steps are described for random and periodic inhomogeneities.