On dispersion managed nonlinear Schrödinger equations with lumped amplification
We show the global well-posedness of the nonlinear Schrödinger equation with periodically varying coefficients and a small parameter $\varepsilon>0$, 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 $\varepsilon$ tends to zero.
math.AP↗