4 papers
Soliton gas resolution and statistics of random wave fields in semiclassical integrable turbulence
T. Congy, G. A. El
We develop a general analytical framework for determining the probability distribution of random nonlinear wave fields governed by the focusing nonlinear Schrödinger equation (fNL…
An exactly solvable model of wave-mean field interaction in integrable turbulence
T. Congy, G. A. El, M. A. Hoefer
The kinetic theory of soliton gases (SG) is used to develop a solvable model for wave-mean field interaction in integrable turbulence. The waves are stochastic soliton ensembles th…
Solitary wave-mean flow interaction in strongly nonlineardispersive shallow water waves
Thibault Congy, Gennady El, Sergey Gavrilyuk +2
The interaction of a solitary wave and a slowly varying mean background or flow for the Serre-Green-Naghdi (SGN) equations is studied using Whitham modulation theory. The exact for…
Spontaneous modulational instability of elliptic periodic waves: the soliton condensate model
D. S. Agafontsev, T. Congy, G. A. El +3
We use the spectral theory of soliton gas for the one-dimensional focusing nonlinear Schrödinger equation (fNLSE) to describe the statistically stationary and spatially homogeneou…