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.
Highlights
To study the fundamental properties [1,2,3,4,5,6] of degenerate or extremely dense, which means the denser than ordinary solids, matter has an important role in understanding the electrostatic perturbation existing in extreme conditions [1,2,3,4,5,6]
The nonlinear propagation of the DIA waves in multi-ion dense plasma system containing degenerate electrons, both positive and negative ions, arbitrary charged dust grains has been investigated by employing the reductive perturbation method
In the study of the propagation of nonlinear waves in the plasma system some important features can be observed under consideration of degenerate pressure and the dust grains have the vital role in multi-ion dense plasma systems
Summary
To study the fundamental properties [1,2,3,4,5,6] of degenerate or extremely dense, which means the denser than ordinary solids, matter has an important role in understanding the electrostatic perturbation existing in extreme conditions [1,2,3,4,5,6]. In case of considering the compact astrophysical objects, primordial universe, and the process of expanding universe [10,11,12,13,14,15,16,17] which provides us the idea that there may be a possibility to have some heavy elements in addition with lighter elements which are considered by the authors in their previous research paper [7,8,9] It has been found the existing plasma waves spectra [18,19,20] are generally modified because of the presence of the static dust grains. In the study of the propagation of nonlinear waves in the plasma system some important features can be observed under consideration of degenerate pressure and the dust grains have the vital role in multi-ion dense plasma systems Considering this idea we are studying the multi-ion plasma with some additional particles, static dust grains with arbitrary positively and negative charge, to make our present analysis meaningful. In our present work, we consider a multi-ion dense plasma system with degenerate electrons following the equations of the state valid for both the non-relativistic and ultra-relativistic limits, and ions (both positive and negative) following the non-relativistic limits with two additional charged particles, positively and negatively charged dust grains
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