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

Research paper by Domenico Felice, Luigi Barletti

Indexed on: 05 Feb '14Published on: 05 Feb '14Published in: Mathematical Physics



Abstract

The propagation of the optical field complex envelope in a single-mode fiber is governed by a one-dimensional cubic nonlinear Schr\"odinger equation with a loss term. We present a result about $L^2$-closeness of the solutions of the above-mentioned equation and of a one-dimensional nonlinear Schr\"odinger equation that is Painlev\'e integrable.