P. Sprenger and M. A. Hoefer, Discontinuous shock solutions of the Whitham modulation equations as zero dispersion limits of traveling waves, Nonlinearity 33, 3268–3302 (2020). ( preprint ) M. D.

Classical phenomena include dispersive shock waves and rarefaction waves, also observed in convex KdV-type dispersive hydrodynamics. Nonclassical features are due to nonconvex dispersion and include ...