On dispersion managed nonlinear Schrödinger equations with lumped amplification

Abstract

We show the global well-posedness of the nonlinear Schrödinger equation with periodically varying coefficients and a small parameter $\epsilon >0$, which is used in optical-fiber communications. We also prove that the solutions converge to the solution for the Gabitov-Turitsyn or averaged equation as $\epsilon$ tends to zero.

17 pages

Cited by in corpus (1)

• On the wellposedness for periodic nonlinear Schrödinger equations with white noise dispersion