Landau damping of dust acoustic solitary waves in nonextensive dusty plasma

Abstract

Dust acoustic (DA) solitary waves have been investigated under the influence of Landau damping in space dusty plasma with q-nonextensive velocity distributed of ions. The effect of the Landau damping, and nonextensive parameter q of the ions on DA solitary structures has been illustrated by a numerical solution of the Landau damping modified KdV equation. By applying the reductive perturbation technique (RPT) Korteweg-de Vries (KdV) an equation with an additional Landau damping term for our model has been derived. This study showed that the density of dusty particles plays an essential role in appearance or disappearance of DA solitary waves in dusty plasmas, and  the nonextensive character of the ions has a noteworthy influence on the Landau damping phenomenon and formed nonlinear structures; the study provides a way to illustrate the physical mechanism of nonlinear propagation of DA solitary waves under Landau damping in the nonextensive distributed plasma in many fields, such as planetary areas, magnetospheres, and space plasma environments.