Dust-acoustic shocks in a strongly coupled dusty plasma

Abstract

It is shown that the nonlinear propagation of the dust-acoustic waves in a strongly coupled dusty plasma is governed by a Korteweg-de Vries-Burgers (K-dV-Burgers) equation. The latter is derived from a set of generalized hydrodynamic equations for strongly correlated dust grains, as well as the Boltzmann distribution for electrons and ions. Possible stationary solutions of the K-dV-Burgers equation are represented in terms of monotonic/oscillatory shock profiles.