50 citations · 105 across the 14 of their papers we have counts for
14 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…
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…
Experimental observation of ballistic correlations in integrable turbulence
Elias Charnay, Adrien Escoubet, Francois Copie +4
Unequal-time correlation functions fundamentally characterize emergent statistical properties in complex systems, yet their direct measurement in experiments is challenging. We rep…
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…
Modeling of obstacle avoidance by a dense crowd as a Mean-Field Game
Matteo Butano, Thibault Bonnemain, Cécile Appert-Rolland +2
In this paper we use a minimal model based on Mean-Field Games (a mathematical framework apt to describe situations where a large number of agents compete strategically) to simulat…
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…
Pedestrians in static crowds are not grains, but game players
Thibault Bonnemain, Matteo Butano, Théophile Bonnet +5
The local navigation of pedestrians amid a crowd is generally believed to involve no anticipation beyond (at best) the avoidance of the most imminent collisions. We show that curre…
Lax Connection and Conserved Quantities of Quadratic Mean Field Games
Thibault Bonnemain, Thierry Gobron, Denis Ullmo
Mean Field Game is a rather new field initially developed in applied mathematics and engineering in order to deal with the dynamics of a large number of controlled agents or object…
Schrödinger approach to Mean Field Games with negative coordination
Thibault Bonnemain, Thierry Gobron, Denis Ullmo
Mean Field Games provide a powerful framework to analyze the dynamics of a large number of controlled agents in interaction. Here we consider such systems when the interactions bet…
Universal behavior in non stationary Mean Field Games
Thibault Bonnemain, Thierry Gobron, Denis Ullmo
Mean Field Games provide a powerful framework to analyze the dynamics of a large number of controlled objects in interaction. Though these models are much simpler than the underlyi…
Mean Field Games in the weak noise limit : A WKB approach to the Fokker-Planck equation
Thibault Bonnemain, Denis Ullmo
Motivated by the study of a Mean Field Game toy model called the "seminar problem", we consider the Fokker-Planck equation in the small noise regime for a specific drift field. Thi…