50 citations · 105 across the 14 of their papers we have counts for
7 papers · 1 filter
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…
Exact Charge, Current, and Velocity Fields of Interacting Korteweg-de Vries Solitons
Thibault Bonnemain, François Copie, Pierre Suret +1
Solitons in integrable systems exhibit a dual wave-particle character, yet their identification as individual objects becomes ambiguous during interactions, where they deform and d…
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…
Dissipation-driven emergence of a soliton condensate in a nonlinear electrical transmission line
Loic Fache, Hervé Damart, François Copie +6
We present an experimental study on the perturbed evolution of Korteweg-deVries soliton gases in a weakly dissipative nonlinear electrical transmission line. The system's dynamics…
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…
Generalized hydrodynamics of the KdV soliton gas
Thibault Bonnemain, Benjamin Doyon, Gennady A. El
We establish the explicit correspondence between the theory of soliton gases in classical integrable dispersive hydrodynamics, and generalized hydrodynamics (GHD), the hydrodynamic…