Correspondence between the NLS equation for optical fibers and a class of integrable NLS equations.

The propagation of the optical field complex envelope in a single-mode fiber is governed by a one-dimensional cubic nonlinear Schrödinger equation with a loss term. We present a result about L2-closeness of the solutions of the aforementioned equation and of a one-dimensional nonlinear Schrödinger equation that is Painlevé integrable. Copyright © 2014 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]