41 citations · 132 across the 8 of their papers we have counts for
8 papers
Interaction of soliton gases in deep-water surface gravity waves
Loic Fache, Félicien Bonnefoy, Guillaume Ducrozet +8
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 inv…
Statistics of extreme events in integrable turbulence
T. Congy, G. A. El, G. Roberti +3
We use the spectral kinetic theory of soliton gas to investigate the likelihood of extreme events in integrable turbulence described by the one-dimensional focusing nonlinear Schrö…
Rogue wave formation scenarios for the focusing nonlinear Schrödinger equation with parabolic-profile initial data on a compact support
F. Demontis, G. Ortenzi, G. Roberti +1
We study the (1+1) focussing nonlinear Schrödinger equation for an initial condition with compactly-supported parabolic profile and phase depending quadratically on the spatial coo…
Soliton refraction through an optical soliton gas
Pierre Suret, Martin Dufour, Giacomo Roberti +3
We report an optical fiber experiment in which we investigate the interaction between an individual soliton and a dense soliton gas. We evidence a refraction phenomenon where the t…
Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering
Alexey Tikan, Felicien Bonnefoy, Giacomo Roberti +10
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 tra…
Numerical spectral synthesis of breather gas for the focusing nonlinear Schrödinger equation
Giacomo Roberti, Gennady El, Alexander Tovbis +3
We numerically realize breather gas for the focusing nonlinear Schrödinger equation. This is done by building a random ensemble of N 50 breathers via the Darboux transform r…
Soliton gas in bidirectional dispersive hydrodynamics
Thibault Congy, Gennady El, Giacomo Roberti
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…
Early stage of integrable turbulence in 1D NLS equation: the semi-classical approach to statistics
Giacomo Roberti, Gennady El, Stephane Randoux +1
We examine statistical properties of integrable turbulence in the defocusing and focusing regimes of one-dimensional small-dispersion nonlinear Schrodinger equation (1D-NLSE). Spec…