5 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 homogeneou…
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 potentia…
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…