Neural networks for computing and denoising the continuous nonlinear Fourier spectrum in focusing nonlinear Schrödinger equation

Abstract We combine the nonlinear Fourier transform (NFT) signal processing with machine learning methods for solving the direct spectral problem associated with the nonlinear Schrödinger equation. The latter is one of the core nonlinear science models emerging in a range of applications. Our focus...

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Bibliographic Details
Main Authors: Egor V. Sedov, Pedro J. Freire, Vladimir V. Seredin, Vladyslav A. Kolbasin, Morteza Kamalian-Kopae, Igor S. Chekhovskoy, Sergei K. Turitsyn, Jaroslaw E. Prilepsky
Format: Article
Language:English
Published: Nature Portfolio 2021-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-02252-9