388 citations · 2.4k across the 43 of their papers we have counts for
44 papers
Soliton Gas: Theory, Numerics and Experiments
Pierre Suret, Stephane Randoux, Andrey Gelash +3
The concept of soliton gas was introduced in 1971 by V. Zakharov as an infinite collection of weakly interacting solitons in the framework of Korteweg-de Vries (KdV) equation. In t…
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…
Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics
Mark J. Ablowitz, Justin T. Cole, Gennady A. El +2
The propagation of localized solitons in the presence of large-scale waves is a fundamental problem, both physically and mathematically, with applications in fluid dynamics, nonlin…
Generalized hydrodynamics of the KdV soliton gas
Thibault Bonnemain, Benjamin Doyon, Gennady A. El
We establish the explicit correspondence between the theory of soliton gases in classical integrable dispersive hydrodynamics, and generalized hydrodynamics (GHD), the hydrodynamic…
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…
Soliton gas in integrable dispersive hydrodynamics
Gennady A. El
We review spectral theory of soliton gases in integrable dispersive hydrodynamic systems. We first present a phenomenological approach based on the consideration of phase shifts in…