  We report a theoretical study of the linear and nonlinear dynamics of edge
excitations of an integer quantum Hall state of non-interacting fermions. New
features beyond the chiral Luttinger liquid picture are anticipated to arise
from the interplay of the curvature of the Landau level dispersion and of the
Pauli exclusion principle. For long-wavelength perturbations, the microscopic
numerical results are captured by a chiral nonlinear hydrodynamic equation
including a density-dependent velocity term. In the wave-breaking regime, shock
waves are found to be regularized into a complex ripple pattern by dispersion
effects. Our results are of specific relevance for experiments with synthetic
quantum matter, in particular ultracold atomic gases.
