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Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation.

Author(s): Tikan A, Billet C, El G, Tovbis A, Bertola M, Sylvestre T, Gustave F, Randoux S, Genty G, Suret P, Dudley JM

Phys Rev Lett. 2017 Jul 21;119(3):033901 Authors: Tikan A, Billet C, El G, Tovbis A, Bertola M, Sylvestre T, Gustave F, Randoux S, Genty G, Suret P, Dudley JM

Article GUID: 28777604
Title:Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation.
Authors:Tikan A,  Billet C,  El G,  Tovbis A,  Bertola M,  Sylvestre T,  Gustave F,  Randoux S,  Genty G,  Suret P,  Dudley JM
Link:https://www.ncbi.nlm.nih.gov/pubmed/28777604?dopt=Abstract
Category:Phys Rev Lett
PMID:28777604
Dept Affiliation: PHYSICS
1 Laboratoire de Physique des Lasers, Atomes et Molecules, UMR-CNRS 8523, Université de Lille, France.
2 Centre d'Etudes et de Recherches Lasers et Applications (CERLA), 59655 Villeneuve d'Ascq, France.
3 Institut FEMTO-ST, CNRS Université Bourgogne-Franche-Comté UMR 6174, 25030 Besançon, France.
4 Centre for Nonlinear Mathematics and Applications, Loughborough University, Department of Mathematical Sciences, Loughborough, LE11 3TU, United Kingdom.
5 Department of Mathematics, University of Central Florida, Orlando, Florida, 32816, USA.
6 Department of Mathematics, Concordia University, H3G 1M8, Montreal, Canada.
7 SISSA, Area of Mathematics, 34136 Trieste, Italy.
8 Tampere University of Technology, Department of Physics, Optics Laboratory, FI-33101 Tampere, Finland.

Description:

Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation.

Phys Rev Lett. 2017 Jul 21;119(3):033901

Authors: Tikan A, Billet C, El G, Tovbis A, Bertola M, Sylvestre T, Gustave F, Randoux S, Genty G, Suret P, Dudley JM

Abstract

We report experimental confirmation of the universal emergence of the Peregrine soliton predicted to occur during pulse propagation in the semiclassical limit of the focusing nonlinear Schrödinger equation. Using an optical fiber based system, measurements of temporal focusing 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.

PMID: 28777604 [PubMed]