Nonlinear low frequency wave propagation in electronegative dusty plasma: Effects of adiabatic and nonadiabatic charge variations

Abstract

The effects of both adiabatic and nonadiabatic charge variations on small but finite amplitude nonlinear dust acoustic wave (DAW) have been investigated in an electronegative dusty plasma in presence of a static magnetic field. It is found that in case of adiabatic charge variations, the nonlinear wave is governed by the Zakharov-Kuznetsov (ZK) equation which yields the usual solitary wave solution. On the other hand, in case of nonadiabatic charge variations, the dynamics is governed by the Zakharov-Kuznetsov-Burgers' (ZKB) equation which exhibits shock like structures. The results are discussed in the context of cometary plasma.

Head-on collision of dust acoustic solitary waves with variable dust charge and two temperature ions in an unmagnetized plasma

“…Thus the grain charge is a variable that has to be determined self-consistently by its charging currents. A great deal of attention (Ghosh et al 2004;Mamun and Hassan 2000;Sarkar et al 2011;Tribeche and Shukla 2011;Xue 2003) have been paid to study the nonlinear phenomenon in dusty plasma taking dust charge variation into account rather than the constant dust charge. In most practical dusty plasma, a gas flow which is usually introduced, can charge quickly keeping relatively low temperature.…”