Correspondence between the NLS equation for optical fibers and a class of integrable NLS equations |
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| Authors: | D Felice L Barletti |
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| Institution: | 1. School of Science and Technology, Università di Camerino, Camerino, Italy;2. INFN, Sezione di Perugia, Italy;3. Dipartimento di Matematica e Informatica ‘U. Dini’, Università di Firenze, Firenze, Italy |
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| 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 aforementioned equation and of a one‐dimensional nonlinear Schrödinger equation that is Painlevé integrable. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | dissipative nonlinear Schrö dinger equation optical fibers Painlevé integrable equations |
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