E. V. Sedov, I. S. Chekhovskoy, J. E. Prilepsky, M. P. Fedoruk, “Application of neural networks to determine the discrete spectrum of the direct Zakharov – Shabat problem”, Kvantovaya Elektronika, 50:12 (2020), 1105–1109 [Quantum Electron., 50:12 (2020), 1105

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Kvantovaya Elektronika, 2020, Volume 50, Number 12, Pages 1105–1109 (Mi qe17372)

This article is cited in 4 scientific papers (total in 4 papers)

SELECTION OF PAPERS PRESENTED AT THE INTERNATIONAL WORKSHOP ON FIBRE LASERS (20-24 SEPTEMBER 2020, NOVOSIBIRSK)

Application of neural networks to determine the discrete spectrum of the direct Zakharov – Shabat problem

E. V. Sedov^a, I. S. Chekhovskoy^a, J. E. Prilepsky^b, M. P. Fedoruk^ac

^a Novosibirsk State University
^b Aston Institute of Photonic Technologies, Aston University, Birmingham, UK
^c Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

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Abstract: A neural network architecture is proposed to determine the number of solitons generated by random processes in optical wavelength-division multiplexed telecommunication systems with QPSK, 16-QAM, 64-QAM, and 1024-QAM modulation. The dependence of the prediction quality of a neural network with a special architecture on the number of soliton modes in the signal and the parameters of this signal is studied.

Keywords: nonlinear Schrödinger equation, inverse scattering problem method, Zakharov – Shabat problem, nonlinear Fourier transform, neural networks, machine learning, optical telecommunication systems, wavelength-division multiplexing.

Funding agency	Grant number
Ministry of Education and Science of the Russian Federation	МК-677.2020.9 FSUS-2020-0034
Leverhulme Trust	RPG-2018-063

Received: 12.10.2020

English version:
Quantum Electronics, 2020, Volume 50, Issue 12, Pages 1105–1109
DOI: https://doi.org/10.1070/QEL17463

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Document Type: Article

Language: Russian

*Supplementary materials:*
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Citation: E. V. Sedov, I. S. Chekhovskoy, J. E. Prilepsky, M. P. Fedoruk, “Application of neural networks to determine the discrete spectrum of the direct Zakharov – Shabat problem”, Kvantovaya Elektronika, 50:12 (2020), 1105–1109 [Quantum Electron., 50:12 (2020), 1105–1109]

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https://www.mathnet.ru/eng/qe17372

https://www.mathnet.ru/eng/qe/v50/i12/p1105

This publication is cited in the following 4 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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