Managing strong ion-neutral collision in dusty plasmas

Abstract

The characteristics of a dissipative dust ion acoustic soliton in a collisional dusty plasma consisting of ions, superthermal electrons, and negatively charged static dust particles are analyzed. The damped Korteweg-de Vries (DKdV) equation is obtained by applying the reductive perturbation technique to the fluid equations of the considered plasma model. The DKdV equation is not integrable; therefore, the homotopy analysis method is used to obtain its numerical solution, using the solution of the standard KdV equation at time zero as an initial approximation. The obtained solution is compared with one of the existing solutions, which was obtained considering the weakness of the collisional frequency. It is noticed that there is a good match between both solutions for small values of the collisional frequency, and a significant difference is observed for higher values of the collisional frequency. The effects of the ion-to-electron temperature ratio (σ), dust concentration (μ), superthermality index (κ), and ion-neutral collisional frequency (νin) on the obtained solitons solution are also investigated.