Nonlinear spectral synthesis of soliton gas in deep-water surface gravity waves
arXiv:2006.16778 · doi:10.1103/PhysRevLett.125.264101
Abstract
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-dional 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.
References in corpus (24)
- Solitons in nonlinear lattices
- Instabilities, breathers and rogue waves in optics
- Freak Waves in Random Oceanic Sea States
- Soliton gases and generalized hydrodynamics
- Kinetic equation for a dense soliton gas
- A geometric viewpoint on generalized hydrodynamics
- Nonlinear inverse synthesis for high spectral efficiency transmission in optical fibers
- Soliton Turbulence in Shallow Water Ocean Surface Waves
- Bound state soliton gas dynamics underlying the noise-induced modulational instability
- The thermodynamic limit of the Whitham equations
- Experimental evidence of a hydrodynamic soliton gas
- Numerical simulation of a solitonic gas in KdV and KdV-BBM equations
- Strongly interacting soliton gas and formation of rogue waves
- Statistical properties of nonlinear stage of modulation instability in fiber optics
- Spectral theory of soliton and breather gases for the focusing nonlinear Schrödinger equation
- Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves
- Nonlinear spectral analysis of Peregrine solitons observed in optics and in hydrodynamic experiments
- Topological Control of Extreme Waves
- Equations of state in generalized hydrodynamics
- Spontaneous emergence of rogue waves in partially coherent waves: a quantitative experimental comparison between hydrodynamics and optics
- Macroscopic dynamics of incoherent soliton ensembles: soliton-gas kinetics and direct numerical modeling
- From modulational instability to focusing dam breaks in water waves
- Time-reversal focusing of an expanding soliton gas in disordered replicas
- Transition from Weak Wave Turbulence to Soliton-Gas
Cited by in corpus (22)
- Soliton gas in integrable dispersive hydrodynamics
- Experiments in Surface Gravity-Capillary Wave Turbulence
- Generalized hydrodynamics of the KdV soliton gas
- Soliton gas in bidirectional dispersive hydrodynamics
- Experimental evidence of nonlinear focusing in standing water waves
- Persistence of hydrodynamic envelope solitons: detection and rogue wave occurrence
- Soliton shielding of the focusing Nonlinear Schrödinger Equation
- Statistics of extreme events in integrable turbulence
- Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering
- Experimental study of integrable turbulence in shallow water
- Experimental quasi-1D capillary-wave turbulence
- Observation of dense collisional soliton complexes in a two-component Bose-Einstein condensate
- Numerical spectral synthesis of breather gas for the focusing nonlinear Schrödinger equation
- Nonlinear Schrodinger Equation Solitons on Quantum Droplets
- Solitons in a box-shaped wavefield with noise: perturbation theory and statistics
- Space-time statistics of 2D soliton gas in shallow water studied by stereoscopic surface mapping
- Bound-state soliton gas as a limit of adiabatically growing integrable turbulence
- Asymmetric integrable turbulence and rogue wave statistics for the derivative nonlinear Schrödinger equation
- Dynamics of Interaction of Two Soliton Clouds
- Simulating Quantum Turbulence with Matrix Product States
- Observation of a generalized Gibbs ensemble in photonics
- Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation