Effect of q-nonextensive distribution of electrons on dust acoustic shock waves in strongly coupled dusty plasmas

Abstract

The reductive perturbation method is used to derive the Kordeweg – de Vries – Burgers equation in strongly coupled dusty plasmas containing Boltzmann distributed ions and q-nonextensive electrons. It is observed that the nonlinear propagation of the dust acoustic waves gives rise to shock structures when there is strong correlation among the dust grains. The effect of the q-nonextensive parameter on the shock waves is discussed.