Emergence of Peregrine solitons in integrable turbulence of deep water gravity waves

G. Michel1, F. Bonnefoy2, G. Ducrozet2, G. Prabhudesai3, A. Cazaubiel4, F. Copie5, A. Tikan5, P. Suret5, S. Randoux5, and E. Falcon4

1Institut Jean Le Rond d'Alembert, Sorbonne Université, CNRS, UMR 7190, F-75 005 Paris, France
2Ecole Centrale de Nantes, LHEEA, UMR 6598 CNRS, F-44 321 Nantes, France
3Laboratoire de Physique de l'Ecole normale supérieure, ENS, Universite PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Paris, France
4Université de Paris, Université Paris Diderot, MSC, UMR 7057 CNRS, F-75 013 Paris, France and
5Univ. Lille, CNRS, UMR 8523 - PhLAM - Physique des Lasers Atomes et Molécules, F-59 000 Lille, France       

Reference: Physical Review Fluids 5, 082801(R) (2020)    

URL: https://link.aps.org/doi/10.1103/PhysRevFluids.5.082801
DOI: https://doi.org/10.1103/PhysRevFluids.5.082801

Abstract: We study experimentally the early stages of integrable turbulence of unidirectional deep water gravity waves. By generating partially coherent waves in a 148-m-long wave flume, we observe the emergence of high-amplitude structures formed by nonlinear focusing, commonly referred to as rogue waves. This work confronts the experiment with two recent results obtained in the framework of the nonlinear Schrödinger equation (NLSE), namely that (i) these structures can be locally fitted by a Peregrine soliton and (ii) their emergence leaves a visible trace on the evolution of statistical parameters such as kurtosis. We show that (i) yields accurate results as long as the wave steepness remains moderate, whereas (ii) is very robust and remains valid beyond the assumption of integrability. Numerical simulations of the NLSE and of the fully nonlinear dynamical equations are also performed to support these results.

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Presss items: 

Logo The
                                                          Conversation ''How are rogue waves born?'' in The Conversation 27 Sept. 2020 (in french by E. Couderc/G. Michel)

CNRS
                                                          Logo   "Rogue waves are born out of random waves" in CNRS Research News 11 Sept. 2020 (in french),       

          in CNRS Hebdo 17 Sept. 2020,

          in Tweeter_@INSIS_CNRS
11 Sept. 2020

 
UP Les vagues scélérates naissent des vagues aléatoires, in Université de Paris Infos, August 28, 2020 (in french)  (or see PDF )

  LogoMSCLab  Les vagues scélérates naissent des vagues aléatoires MSC Laboratory Web Site, September 11, 2020 (in french)  
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          The Conversation  TeaserCNRSHebdo

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