A di usion approximation theorem for a nonlinear PDE with application to random birefringent optical bers
نویسندگان
چکیده
In this article, we propose a generalization of the theory of di usion approximation for random ODE to a nonlinear system of random Schrödinger equations. This system arises in the study of pulse propagation in randomly birefringent optical bers. We rst show existence and uniqueness of solutions for the random PDE and the limiting equation. We follow the work of Garnier-Marty [16, 20], where a linear electric eld is considered, and we get an asymptotic dynamic for the nonlinear electric eld.
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