Local Emergence of Peregrine Solitons: Experiments and Theory

Tikan, Alexey, Randoux, Stéphane, El, Gennady, Tovbis, Alexander, Copie, Francois and Suret, Pierre (2021) Local Emergence of Peregrine Solitons: Experiments and Theory. Frontiers in Physics, 8. p. 599435. ISSN 2296-424X

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Official URL: https://doi.org/10.3389/fphy.2020.599435

Abstract

It has been shown analytically that Peregrine solitons emerge locally from a universal mechanism in the so-called semiclassical limit of the one-dimensional focusing nonlinear Schrödinger equation. Experimentally, this limit corresponds to the strongly nonlinear regime where the dispersion is much weaker than nonlinearity at initial time. We review here evidences of this phenomenon obtained on different experimental platforms. In particular, the spontaneous emergence of coherent structures exhibiting locally the Peregrine soliton behavior has been demonstrated in optical fiber experiments involving either single pulse or partially coherent waves. We also review theoretical and numerical results showing the link between this phenomenon and the emergence of heavy-tailed statistics (rogue waves).

Item Type: Article
Uncontrolled Keywords: Peregrine soliton, optical fibers, semiclassical limit, one-dimensional nonlinear Schrödinger equation, self-compression of optical solitons
Subjects: F300 Physics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Elena Carlaw
Date Deposited: 05 Feb 2021 09:15
Last Modified: 31 May 2021 14:43
URI: http://nrl.northumbria.ac.uk/id/eprint/45375

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