Author(s)

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

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

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.

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

N. Roy, M. Zobaer and A. Mamun, "Propagation of Electrostatic Waves in an Ultra-Relativistic Dense Dusty Electron-Positron-Ion Plasma," Journal of Modern Physics, Vol. 3 No. 8, 2012, pp. 850-855. doi: 10.4236/jmp.2012.38111.