Title :

Nonlinear Spectral Synthesis of Soliton Gas in Deep-Water Surface Gravity Waves

Author(s) :

Suret, Pierre [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Tikan, Alexey [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Bonnefoy, Félicien [Auteur]
Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique [LHEEA]
Copie, Francois [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Michel, Guillaume [Auteur]
Modélisation, Propagation et Imagerie Acoustique [IJLRDA-MPIA]
Institut Jean Le Rond d'Alembert [DALEMBERT]
Ducrozet, Guillaume [Auteur]
Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique [LHEEA]
Gelash, Andrey [Auteur]
Institute of Automation and Electrometry of the Siberian Branch of the RAS [IA&E]
Skolkovo Institute of Science and Technology [Moscow] [Skoltech]
Prabhudesai, Gaurav [Auteur]
École normale supérieure - Paris [ENS-PSL]
Cazaubiel, Annette [Auteur]
Matière et Systèmes Complexes [MSC]
Falcon, Eric [Auteur]
Matière et Systèmes Complexes [MSC]
El, Gennady [Auteur]
Department of Mathematics, Physics and Electrical Engineering [Newcastle]
Randoux, Stéphane [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]

Journal title :

Physical Review Letters

Publisher :

American Physical Society

Publication date :

2020-12-31

ISSN :

0031-9007

HAL domain(s) :

Physique [physics]
Physique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
Science non linéaire [physics]/Formation de Structures et Solitons [nlin.PS]

English abstract : [en]

Soliton gases represent large random soliton ensembles in physical systems that display integrable dynamics at the leading order. Despite significant theoretical developments and observational evidence of ubiquity of soliton ...
Show more >Soliton gases represent large random soliton ensembles in physical systems that display integrable dynamics at the leading order. Despite significant theoretical developments and observational evidence of ubiquity of soliton gases in fluids and optical media their controlled experimental realization has been missing. We report the first controlled synthesis of a dense soliton gas in deep-water surface gravity waves using the tools of nonlinear spectral theory (inverse scattering transform (IST)) for the one-dimensional focusing nonlinear Schrödinger equation. The soliton gas is experimentally generated in a one-dimensional water tank where we demonstrate that we can control and measure the density of states, i. e. the probability density function parametrizing the soliton gas in the IST spectral phase space. Nonlinear spectral analysis of the generated hydrodynamic soliton gas reveals that the density of states slowly changes under the influence of perturbative higher-order effects that break the integrability of the wave dynamics.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

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