Title :

Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering

Author(s) :

Tikan, Alexey [Auteur]
Ecole Polytechnique Fédérale de Lausanne [EPFL]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Bonnefoy, Felicien [Auteur]
Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique [LHEEA]
Roberti, Giacomo [Auteur]
Northumbria University [Newcastle]
El, Gennady [Auteur]
Northumbria University [Newcastle]
Tovbis, Alexander [Auteur]
University of Central Florida [Orlando] [UCF]
Ducrozet, Guillaume [Auteur]
Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique [LHEEA]
Cazaubiel, Annette [Auteur]
Matière et Systèmes Complexes [MSC]
Prabhudesai, Gaurav [Auteur]
Physique Non-Linéaire
Michel, Guillaume [Auteur]
Modélisation, Propagation et Imagerie Acoustique [IJLRDA-MPIA]
Institut Jean Le Rond d'Alembert [DALEMBERT]
Copie, Francois [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Falcon, Eric [Auteur]
Matière et Systèmes Complexes [MSC]
Randoux, Stephane [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Suret, Pierre [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]

Journal title :

Physical Review Fluids

Pages :

054401

Publisher :

American Physical Society

Publication date :

2022

ISSN :

2469-990X

HAL domain(s) :

Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
Science non linéaire [physics]

English abstract : [en]

Peregrine soliton (PS) is widely regarded as a prototype nonlinear structure capturing properties of rogue waves that emerge in the nonlinear propagation of unidirectional wave trains. As an exact breather solution of the ...
Show more >Peregrine soliton (PS) is widely regarded as a prototype nonlinear structure capturing properties of rogue waves that emerge in the nonlinear propagation of unidirectional wave trains. As an exact breather solution of the one-dimensional focusing nonlinear Schrödinger equation with nonzero boundary conditions, the PS can be viewed as a soliton on finite background, i.e., nonlinear superposition of a soliton and a monochromatic wave. A recent mathematical work showed that both nonzero boundary conditions and solitonic content are not pre-requisites for the PS occurrence. Instead, it has been demonstrated that PS can emerge locally, as an asymptotic structure arising from the propagation of an arbitrary large decaying pulse, independently of its solitonic content. This mathematical discovery has changed the widely accepted paradigm of the solitonic nature of rogue waves by enabling the PS to emerge from a partially radiative or even completely solitonless initial data. In this work, we realize the mathematically predicted universal mechanism of the local PS emergence in a water tank experiment with a particular aim to control the point of the PS occurrence in space-time by imposing an appropriately chosen initial chirp. By employing the inverse scattering transform for the synthesis of the initial data, we are able to engineer a localized wave packet with a prescribed solitonic and radiative content. This enabled us to control the position of the emergence of the rogue wave by adjusting the inverse scattering spectrum. The proposed method of the nonlinear spectral engineering is found to be robust to higher-order nonlinear effects inevitable in realistic wave propagation conditions.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions
ULNE
Gaz de solitons en optique et en hydrodynamique
Dynamique et propriétés statistiques des grandes échelles en turbulence

Collections :

• Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) - UMR 8523

Source :

Harvested from HAL