DIA Solitary and Shock Waves in Dusty Multi-Ion Dense Plasma with Arbitrary Charged Dust

M. S. Zobaer, N. Roy, A. A. Mamun

Department of Physics, Jahangirnagar University, Savar, Dhaka, Bangladesh.

DOI: 10.4236/jmp.2012.38099                

Abstract

The nonlinear propagation of the DIA (dust ion-acoustic) waves in multi-ion dense plasma system containing degener- ate electrons, both positive and negative ions, arbitrary charged dust grains has been investigated by employing the reductive perturbation method. The nonlinear waves (solitary and shock waves) have been observed to be formed in case of both positive and negative charged dust grains from the stationary solution of the Korteweg de-Vries (K-dV) equation and Burger’s equation. The fundamental properties of such nonlinear waves have been theoretically analyzed by comparing system potential for both positive and negative dust grains. It has been shown that the basic features of these waves are significantly modified by the positive and negative ions drift speed and polarities of dust grains. The implications of our results in space and laboratory plasmas are briefly discussed.

Keywords

Degenerate Pressure; Solitary and Shock Waves; Reductive Perturbation Method; Multi Ion Plasma; Arbitrary Charged Dust

Conflicts of Interest

The authors declare no conflicts of interest.

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