Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media

Abstract

On the basis of the competing cubic-quintic nonlinearity model, stability (instability) of continuous waves in nonlocal random non-Kerr nonlinear media is studied analytically and numerically. Fluctuating media parameters are modeled by the Gaussian white noise. It is shown that for different response functions of a medium nonlocality suppresses, as a rule, both the growth rate peak and bandwidth of instability caused by random parameters. At the same time, for a special form of the response functions there can be an ''anomalous'' subjection of nonlocality to the instability development which leads to further increase of the growth rate. Along with the second-order moments of the modulational amplitude, higher-order moments are taken into account.

This is a contribution to the Proc. of the Seventh Inter. Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (10)

• Collapse arrest and soliton stabilization in nonlocal nonlinear media
• Modulational instability, solitons and beam propagation in spatially nonlocal nonlinear media
• Modulational instability in nonlocal nonlinear Kerr media
• Landau and Dynamical Instabilities of the Superflow of Bose-Einstein Condensates in Optical Lattices
• Observation of attraction between dark solitons
• Generic features of modulational instability in nonlocal Kerr media
• Pattern Forming Dynamical Instabilities of Bose-Einstein Condensates: A Short Review
• Nonlocal interactions prevent collapse in negative scattering length Bose-Einstein gases
• Spatially incoherent modulational instability in a non local medium
• Modulational instability in nonlocal Kerr-type media with random parameters