Propagation of a small-amplitude shock wave associated with the ion acoustic-like mode in a dusty plasma

Abstract

The reductive perturbation method is used to investigate the existence of a shock wave in the presence of dust charge fluctuation in a dusty plasma. A Burgers-type equation is obtained for the first-order perturbed potential. The potential and velocity of the shock are obtained. The conditions for the existence of the shock solutions are discussed.

Effects of ion streaming and propagation direction on ion-acoustic solitary waves

“…16 Several effects such as density gradient, ion temperature, etc., on nonlinear ion-acoustic waves have been studied in the presence of third species ͑dust͒, which modify the results as obtained in the case of electron ion plasma. [17][18][19][20] There are many situations where a relative motion between different plasma species can occur. Therefore it seems necessary to look for the effects of ion streaming on the nonlinear ion-acoustic solitary structures.…”

Dust-acoustic shock waves: Effect of plasma density gradient

“…In such a plasma, there exist two kinds of acoustic-type shock waves on two different time scales, namely, slow dust-acoustic shock wave ͑DASW͒ and fast dust-ion-acoustic shock wave ͑DIASW͒. In spatially homogeneous plasmas, these shock waves have received extensive theoretical investigations, [4][5][6][7][8][9][10][11][12][13][14][15] and the DIASWs were observed in a few experiments. 16,17 Among these, Melandso and Shukla 4 first derived the Burgers equation to describe the formation of the DASWs by including nonadiabatic dust charging equation.…”

“…16 and 17. Many other authors [5][6][7][8][9][11][12][13][14][15] investigated the characteristics of the DASWs and DIASWs in different situations. It was shown that, even though in collisionless dusty plasmas, the nonadiabatic charge variation of the dust grains can introduce dissipations that result in the formation of the shock structures.…”

Coherent structures in presence of dust charge fluctuations

“…Under this situation the grain charge becomes a time dependent and self-consistent variable. The consequent modifications in the collective properties of a dusty plasma in response to the variation of charge is studied [4][5].…”