Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation
journal contributionposted on 28.06.2017, 09:54 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.
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).
- Mathematical Sciences