On the Nonlinear Excitation in Self Gravitating Quantum Dusty Plasma

Abstract

Nonlinear excitation in self gravitating quantum dusty plasma is analysed from the viewpoint of perturbation theory. A plasma configuration consisting of electron, ion and dust particles are treated by reductive perturbation theory, to deduce two coupled modified KdV equations. The soliton like solutions of such coupled systems are obtained with the help of another multiple scale perturbation theory. This leads to the variation of soliton amplitude and velocity due to the several interaction terms.

On the Effect of Electron Streaming and Existence of Quasi-Solitary Mode in a Strongly Coupled Quantum Dusty Plasma—Far and Near Critical Nonlinearity

“…Another important domain of present day plasma physics is the study of dusty plasma [12], and thus many analyses have been performed on quantum dusty plasma [13,14]. The emergence of the dust acoustic wave (D.A.W) is an important aspect of such analysis [15].…”

Trapping effects in a self-gravitating quantum dusty plasma

“…In these papers, quantum statistical effects have been incorporated by including the Fermi pressure term, and the quantum diffraction or scattering effects are governed by a double differential term called the Bohm potential term in the fluid model [12][13][14][15]. The fluid model has been used for both linear [16][17] and nonlinear analyses of different wave modes [18][19][20][21]. Many theoretical researchers have developed the Korteveg-de Vries (KdV) equation, the modified KdV equation, the nonlinear Schrödinger equation and the Burgers equation [1][2][3][20][21][22] to study the nonlinearities in degenerate quantum plasmas.…”