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Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation

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posted on 2017-06-28, 09:54 authored by Alexey Tikan, Cyril Billet, Gennady El, Alexander Tovbis, Marco Bertola, Thibaut Sylvestre, Francois Gustave, Stephane Randoux, Goery Genty, Pierre Suret, John M. Dudley
We report experimental confirmation of the universal emergence of the Peregrine soliton predicted to occur during pulse propagation in the semi-classical limit of the focusing nonlinear Schrodinger equation. Using an optical fiber based system, measurements of temporal focussing of high power pulses reveal both intensity and phase signatures of the Peregrine soliton during the initial nonlinear evolution stage. Experimental and numerical results are in very good agreement, and show that the universal mechanism that yields the Peregrine soliton structure is highly robust and can be observed over a broad range of parameters.

Funding

This work was supported by the European Research Council Advanced Grant ERC-2011-AdG-290562 MULTIWAVE and Proof of Concept Grant ERC-2013-PoC 632198-WAVEMEASUREMENT, the European Union Horizon 2020 research and innovation programme under grant agreement No 722380 SUPUVIR, the Agence Nationale de la Recherche (ANR OPTIROC ANR-12-BS04-0011, LABEX CEMPI ANR-11-LABX-0007 and ACTION ANR-11-LABX-0001-01), the Region of Franche-Comt´e Project CORPS, the French Ministry of Higher Education and Research, the Nord-Pas de Calais Regional Council and European Regional Development Fund (ERDF) through the Contrat de Projets Etat-R´egion (CPER Photonics for Society P4S). G. G. acknowledges the support from the Academy of Finland (Grants 267576 and 298463).

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review Letters

Volume

119

Issue

3

Citation

TIKAN, A. ... et al, 2017. Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrodinger equation. Physical Review Letters, 119 (3), 033901.

Publisher

© American Physical Society

Version

  • AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

2017-06-19

Publication date

2017-07-18

Notes

This paper was accepted for publication in the journal Physical Review Letters and the definitive published version is available at https://doi.org/10.1103/PhysRevLett.119.033901.

DOI

ISSN

0031-9007

eISSN

1079-7114

Publisher version

Language

  • en

Article number

033901

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    Categories

    Keywords

    untaggedMathematical Sciences not elsewhere classified

    Licence

    CC BY-NC-ND 4.0

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