The modulation instability of dispersed electromagnetic waves in the Josephson junction with nonlocal interaction

The modulation instability of dispersed electromagnetic waves propagating in the Josephson junction between massive superconductors has been studied. A dispersion equation for the increment of small perturbations of the wave amplitude is obtained. It is shown that the spatial nonlocality produces a stabilizing influence with respect to the development of modulation instability in a long-wavelength region of the perturbation wavevectors 0 less than or equal to Q less than or equal to Q(B1)(k). The region of modulation instability Q(B1)(k) < Q < Q(B2)(k, A, L) can be controlled by the dispersion parameter-the wavevector k (or the frequency omega(k)) of the carrier wave in the linear approximation. (C) 2004 MAIK "Nauka / Interperiodica".