title: Experimental evidence of dynamical propagation for solitary waves in ultra slow stochastic non-local Kerr medium.
abstract: We perform a statistical analysis of the optical solitary wave propagation in an ultra-slow stochastic non-local focusing Kerr medium such as liquid crystals. Our experimental results show that the localized beam trajectory presents a dynamical random walk whose beam position versus the propagation distance z depicts two different kind of evolutions A power law is found for the beam position standard deviation during the first stage of propagation. It obeys approximately z3/2up to ten times the power threshold for solitary wave generation.
authors.forename: H
authors.initials: H
authors.lastname: Louis
authors.forename: M
authors.initials: M
authors.lastname: Tlidi
authors.forename: E
authors.initials: E
authors.lastname: Louvergneaux