Dust Acoustic Solitary Waves with Dust Charge Fluctuation in Superthermal Plasma

Abstract

The nonlinear propagation of dust acoustic waves with dust charge fluctuation in presence of superthermal (kappa) electrons and ions has been investigated. Reductive perturbation technique along with space-time stretched coordinates is used to transform the basic nonlinear partial differential equations to a modified Korteweg-de-Vries equation. The modified Korteweg-de-Vries equation governs the dynamics of the small amplitude solitary waves in a superthermal dusty plasma. It is observed that the presence of kappa distributed electrons and ions significantly change the amplitude of solitons in an inhomogeneous environment. The present investigations may be useful to understand the nonlinear propagation of dust acoustic solitary waves in laboratory and space plasma.