Length-scale competition for the sine-Gordon kink in a random environment
نویسنده
چکیده
This paper deals with the transmission of a kink in a random medium described by a randomly perturbed sine-Gordon equation. Different kinds of perturbations are addressed, with time or spatial random fluctuations, with or without damping. We derive effective evolution equations for the kink velocity and width by applying a perturbation theory of the inverse scattering transform and limit theorems of stochastic calculus. Results are very different compared to a randomly perturbed nonlinear Schrödinger equation. The effect of a random perturbation is shown to depend strongly on the interplay of the correlation length of the perturbation and the kink width.
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