3 papers
nlin.PS2026
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…
math-ph2026
Where solitons are in a KdV soliton gas
Benjamin Doyon
The Korteweg-De Vries (KdV) equation is a paradigmatic model of integrable classical fields, admitting solitoning solutions. When many solitons are near to each other, their shapes…
nlin.PS2024
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…