Propagation of Electrostatic Waves in an Ultra-Relativistic Dense Dusty Electron-Positron-Ion Plasma

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

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

DOI: 10.4236/jmp.2012.38111                

Abstract

The nonlinear propagation of waves (specially solitary waves) in an ultra-relativistic degenerate dense plasma (containing ultra-relativistic degenerate electrons and positrons, cold, mobile, inertial ions, and negatively charged static dust) have been investigated by the reductive perturbation method. The linear dispersion relation and Korteweg de-Vries equation have been derived whose numerical solutions have been analyzed to identify the basic features of electrostatic solitary structures that may form in such a degenerate dense plasma. The existence of solitary structures has been also verified by employing the pseudo-potential method. The implications of our results in astrophysical compact objects have been briefly discussed.

Keywords

Degenerate Plasma; Ultra-Relativistic Limit; Solitary Waves; K-dV Equation; Pseudo-Potential Method

Conflicts of Interest

The authors declare no conflicts of interest.

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