Abstract
The modulation instability of plane finite-amplitude nonlinear waves with the Josephson frequency is studied for a Josephson contact in thin nonmagnetic and magnetic (two-dimensional) superconducting films. Dispersion relations for the increments of small-amplitude perturbations are derived. Modulation instability is shown to develop in the finite range 0<Q<Qb of the wavevectors of amplitude perturbations for the nonmagnetic films and for any perturbation wavevector 0<Q<∞ for the magnetic films.
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