6 citations · 11 across the 5 of their papers we have counts for
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…
Where solitons are in a KdV soliton gas
Benjamin Doyon
The Korteweg-De Vries (KdV) equation is a paradigmatic model of integrable classical fields, with solitonic solutions where localised profiles interact by elastic, factorised scatt…
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…
Hamiltonian formulation and aspects of integrability of generalised hydrodynamics
Thibault Bonnemain, Vincent Caudrelier, Benjamin Doyon
Generalised Hydrodynamics (GHD) describes the large-scale inhomogeneous dynamics of integrable (or close to integrable) systems in one dimension of space, based on a central equati…
Soliton gas of the integrable Boussinesq equation and its generalised hydrodynamics
Thibault Bonnemain, Benjamin Doyon
Generalised hydrodynamics (GHD) is a recent and powerful framework to study many-body integrable systems, quantum or classical, out of equilibrium. It has been applied to several m…