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Modulational instability of continuous waves in nonlocal focusing anddefocusing Kerr media with stochastically varying diffraction (dispersion) andnonlinearity coefficients is studied both analytically and numerically. It isshown that nonlocality with the sign-definite Fourier images of the mediumresponse functions suppresses considerably the growth rate peak and bandwidthof instability caused by stochasticity. Contrary, nonlocality can enhancemodulational instability growth for a response function with negative-signbands.

Modulational instability in nonlocal Kerr-type media with random parameters