Electrostatic shock wave in dusty plasmas

Abstract

The present investigation reports the existence of a one-dimensional (1-D) shock wave profile for a weakly nonlinear modified acoustic-like/dust-acoustic waves. Here, unlike in the conventional plasma systems, the dissipative effect to balance the nonlinear steepening arises self-consistently due to dust charge fluctuation dynamics in response to the collective plasma oscillations. The possibility of other localized coherent structures like dissipative/dispersive solitons in higher-order solutions has been highlighted. Its implications in laboratory and space plasmas are discussed.