Dust–electron-acoustic shock waves due to dust charge fluctuation

The nonlinear propagation of the dust–electron-acoustic waves in a dusty plasma consisting of cold and hot electrons, stationary and streaming ions, and charge fluctuating stationary dust has been investigated by employing the reductive perturbation method. It has been shown that the dust charge fluctuation is a source of dissipation, and is responsible for the formation of the dust–electron-acoustic shock waves in such a dusty plasma. The basic features of such dust–electron-acoustic shock waves have been identified. It has been proposed to design a new laboratory experiment which will be able to identify the basic features of the dust–electron-acoustic shock waves predicted in this theoretical investigation.