72 citations · 98 across the 7 of their papers we have counts for
7 papers
Kinetic equations for a two-dimensional soliton gas
Gino Biondini, Thibault Bonnemain, Benjamin Doyon +2
We formulate a general system of kinetic equations for a non-stationary two-dimensional gas of elastically interacting line solitons and apply it to the description of a soliton ga…
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 homogeneous…
Two-dimensional stationary soliton gas
Thibault Bonnemain, Benjamin Doyon, Gino Biondini +2
We study two-dimensional stationary soliton gas in the framework of the time-independent reduction of the Kadomtsev-Petviashvili (KPII) equation, which coincides with the integrabl…
Breather gas fission from elliptic potentials in self-focusing media
Gino Biondini, Gennady A. El, Xu-Dan Luo +2
We present an analytical model of integrable turbulence in the focusing nonlinear Schrödinger (fNLS) equation, generated by a one-parameter family of finite-band elliptic potential…
Riemann problem for polychromatic soliton gases: a testbed for the spectral kinetic theory
T. Congy, H. T. Carr, G. Roberti +1
We use Riemann problem for soliton gas as a benchmark for a detailed numerical validation of the spectral kinetic theory for the Korteweg-de Vries (KdV) and the focusing nonlinear…
Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation
T. Congy, G. A. El, G. Roberti +1
We consider large-scale dynamics of non-equilibrium dense soliton gas for the Korteweg-de Vries (KdV) equation in the special "condensate" limit. We prove that in this limit the in…
Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves
Gennady A. El, Eduardo G. Khamis, Alexander Tovbis
We propose a novel, analytically tractable, scenario of the rogue wave formation in the framework of the small-dispersion focusing nonlinear Schrödinger (NLS) equation with the ini…