Effect of Dust Particles in Soliton Reflection in the Presence of Trapped Electrons in an Inhomogeneous Plasma

Abstract

The influence of dust grains on soliton reflection in the presence of trapped electrons in an inhomogeneous plasma is investigated. We have considered a plasma model having ions, trapped electrons, and negatively charged dust particles. Here, the reductive perturbation theory (RPT) is employed to obtain the modified Korteweg–de Vries (m-KdV) equation. The solution of m-KdV equation indicates the solitary wave solution in the inhomogeneous plasma system. The solitary wave solution signifies the various effects of dust particles in inhomogeneous plasma. We have also discussed the different modes of soliton propagations during soliton reflection in the presence of inhomogeneity density gradients.