Nonlinear Propagation of Dust-Ion-Acoustic Waves in a Degenerate Dense Plasma

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

Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh.

DOI: 10.4236/jmp.2012.37082                

Abstract

Nonlinear propagation of dust-ion-acoustic waves in a degenerate dense plasma (with the constituents being degenerate, for both the limits non-relativistic or ultra-relativistic) have been investigated by the reductive perturbation method. The Korteweg de-Vries (K-dV) equation and Burger’s equation have been derived, and the numerical solutions of those equations have been analyzed to identify the basic features of electrostatic solitary and shock structures that may form in such a degenerate dense plasma. The implications of our results in compact astrophysical objects, particularly, in white dwarfs, have been briefly discussed.

Keywords

Degenerate Plasma; Dust-Ion-Acoustic Waves; K-dV Equation; Burzer’s Equation

Conflicts of Interest

The authors declare no conflicts of interest.

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