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An experimental procedure for studying soliton gases in shallow water is devised. Nonlinear waves propagate at constant depth in a 34\,m-long wave flume. At one end of the flume, the waves are generated by a piston-type wave-maker. The…

流体动力学 · 物理学 2022-09-09 Ivan Redor , Eric Barthélemy , Nicolas Mordant , Hervé Michallet

Soliton gases represent large random soliton ensembles in physical systems that display integrable dynamics at the leading order. We report hydrodynamic experiments in which we investigate the interaction between two "beams" or "jets" of…

We analyze a set of bidirectional wave experiments in a linear wave flume of which some are conducive to integrable turbulence. In all experiments the wavemaker forcing is sinusoidal and the wave motion is recorded by seven high-resolution…

流体动力学 · 物理学 2022-10-11 Ivan Redor , Hervé Michallet , Nicolas Mordant , Eric Barthélemy

We describe laboratory experiments in a 2D wave tank that aim at building up and monitor 2D shallow water soliton gas. The water surface elevation is obtained over a large ($\sim 100\,\text{m}^2$) domain, with centimetre-resolution, by…

流体动力学 · 物理学 2024-05-24 Thibault Leduque , Eric Barthélemy , Hervé Michallet , Joël Sommeria , Nicolas Mordant

Experiments on 2D random water wave propagation in a large wave tank are analyzed when the effect of dispersion changes. A stereoscopic profilometry technique is used to measure the water surface displacement resolved in both time and space…

流体动力学 · 物理学 2025-10-14 Thibault Leduque , Maxime Kaczmarek , Hervé Michallet , Eric Barthélemy , Nicolas Mordant

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…

We study the waves at the interface between two thin horizontal layers of immiscible fluids subject to high-frequency horizontal vibrations. Previously, the variational principle for energy functional, which can be adopted for treatment of…

Dispersive shock waves and solitons are fundamental nonlinear excitations in dispersive media, but dispersive shock wave studies to date have been severely constrained. Here we report on a novel dispersive hydrodynamics testbed: the…

斑图形成与孤子 · 物理学 2016-05-04 Michelle D. Maiden , Nicholas K. Lowman , Dalton V. Anderson , Marika E. Schubert , Mark A. Hoefer

Solitons are nonlinear solitary waves which maintain their shape over time and through collisions, occurring in a variety of nonlinear media from plasmas to optics. We present an experimental and theoretical study of hydrodynamic phenomena…

Macroscopic dynamics of soliton gases can be analytically described by the thermodynamic limit of the Whitham equations, yielding an integro-differential kinetic equation for the density of states. Under a delta-functional ansatz, the…

可精确求解与可积系统 · 物理学 2022-03-23 E. V. Ferapontov , M. V. Pavlov

We experimentally investigate the dynamics of spin solitary waves (magnetic solitons) in a harmonically trapped, binary superfluid mixture. We measure the in-situ density of each pseudospin component and their relative local phase via an…

量子气体 · 物理学 2020-07-17 A. Farolfi , D. Trypogeorgos , C. Mordini , G. Lamporesi , G. Ferrari

The theory of soliton gas had been previously developed for unidirectional integrable dispersive hydrodynamics in which the soliton gas properties are determined by the overtaking elastic pairwise interactions between solitons. In this…

斑图形成与孤子 · 物理学 2021-04-07 Thibault Congy , Gennady El , Giacomo Roberti

We report the observation of a two-dimensional dam break flow of a photon fluid in a nonlinear optical crystal. By precisely shaping the amplitude and phase of the input wave, we investigate the transition from one-dimensional (1D) to…

斑图形成与孤子 · 物理学 2024-09-30 Ludovica Dieli , Davide Pierangeli , Eugenio DelRe , Claudio Conti

Soliton hydrodynamics is an appealing tool to describe strong turbulence in low-dimensional systems. Strong turbulence in quasi-one dimensional spuerfluids, such as Bose-Einstein condensates, involves the dynamics of dark solitons and,…

量子气体 · 物理学 2020-11-24 C. Pereira , J. D. Rodrigues , J. T. Mendonça , H. Terças

Solitons are localized nonlinear wave packets that propagate without spreading because nonlinearity balances dispersion. Their robustness is well understood in effectively one-dimensional systems, but introducing additional spatial…

Soliton gases are large ensembles of random solitons with distinct characteristics arising from integrable system dynamics. They have been widely studied in theory and experiments, and were observed in natural lagoons. However, it remains…

斑图形成与孤子 · 物理学 2025-10-08 Yu-Chen Lee , Sander Wahls

We study a two-dimensional incoherently pumped exciton-polariton condensate described by an open-dissipative Gross-Pitaevskii equation for the polariton dynamics coupled to a rate equation for the exciton density. Adopting a hydrodynamic…

We undertake a detailed comparison of the results of direct numerical simulations of the integrable soliton gas dynamics with the analytical predictions inferred from the exact solutions of the relevant kinetic equation for solitons. We use…

斑图形成与孤子 · 物理学 2020-02-20 Francesco Carbone , Denys Dutykh , Gennady El

We study the out-of-equilibrium dynamics of a weakly interacting one-dimensional Bose gas in a box trap, subjected to a drive realized by a periodically oscillating linear potential. After a transient regime, the gas reaches a quasi-steady…

量子气体 · 物理学 2026-03-27 Manon Ballu , Romain Dubessy , Aurélien Perrin , Hélène Perrin , Anna Minguzzi

We derive the equations of hydrodynamics of a fully polarized electron gas placed in a strong magnetic field. These equations reveal the existence of solitons - immobile or propagating domain wall-like defects whose plane is perpendicular…

凝聚态物理 · 物理学 2007-05-23 Eugene B. Kolomeisky
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