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 above-mentioned equation and of a one-dimensional nonlinear Schrödinger equation that is Painlevé integrable.
Correspondence between the NLS equation for optical fibers and a class of integrable NLS equations / Domenico Felice; Luigi Barletti. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 38:(2015), pp. 920-929. [10.1002/mma.3117]
Correspondence between the NLS equation for optical fibers and a class of integrable NLS equations
BARLETTI, LUIGI
2015
Abstract
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 above-mentioned equation and of a one-dimensional nonlinear Schrödinger equation that is Painlevé integrable.
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