20 citations · 20 across the 1 of their papers we have counts for
3 papers
nlin.PS2021★ 20 cited
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…
nlin.PS2020
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…
nlin.SI2019
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…