Time-dependent non-planar dust-acoustic solitary and shock waves in strongly coupled adiabatic dusty plasma

Abstract

Time-dependent cylindrical and spherical dust-acoustic (DA) solitary and shock waves propagating in a strongly coupled dusty plasmas (containing strongly correlated negatively charged dust grains and weakly correlated adiabatic electrons and ions) are investigated. It is shown that cylindrical and spherical DA solitary and shock waves exist with negative potential, and that the strong correlation between the charged dust grains is a source of dissipation, and is responsible for the formation of cylindrical or spherical DA shock structures. It is also shown that the effects of a non-planar geometry (cylindrical and spherical) significantly modify the basic features (e.g. amplitude, width, speed, etc.) of DA solitary and shock waves. The implications of our results in laboratory experiments are briefly discussed.

Coexistence of DA shock and solitary waves in dusty plasmas with two-temperature-ions

“…Since the waves observed in space (laboratory devices) are certainly not infinite (bounded) in one dimension (Mamun and Shukla 2009;Sahu and Tribeche 2012;Masud et al 2013a) the nonplanar geometry has received a great deal of interest in recent years (Mamun andShukla 2000, 2010;Khan et al 2008;Sharma and Bujarbarua 1984;Liu et al 2010;Eslami et al 2011). Rahman et al (2013) have investigated the effects of nonplanar geometry on both DA solitary and shock structures in dusty plasmas where ions of single temperature are considered. Recently, Asaduzzaman and Mamun (Asaduzzaman and Mamun 2012b) have analyzed the effects of two temperature ions on DASWs in a nonplanar geometry.…”