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nlin.PS2025
An exactly solvable model of wave-mean field interaction in integrable turbulence
T. Congy, G. A. El, M. A. Hoefer
The kinetic theory of soliton gases (SG) is used to develop a solvable model for wave-mean field interaction in integrable turbulence. The waves are stochastic soliton ensembles th…
nlin.PS2024
Mach reflection and expansion of two-dimensional dispersive shock waves
Gino Biondini, Alexander Bivolcic, Mark A. Hoefer
The oblique collisions and dynamical interference patterns of two-dimensional dispersive shock waves are studied numerically and analytically via the temporal dynamics induced by w…
nlin.PS2024
Hydrodynamics of a Discrete Conservation Law
Patrick Sprenger, Christopher Chong, Emmanuel Okyere +3
The Riemann problem for the discrete conservation law is classified using Whitham modulation theory, a quasi-continuum approximation, and…