Obliquely propagating electrostatic solitary structures in a magnetized hot dusty plasma with trapped ions

Abstract

A theoretical investigation has been made of obliquely propagating electrostatic solitary structures in a hot magnetized three-component dusty plasma, which consists of a negatively charged hot dust fluid, Blotzmann distributed electrons, and free and trapped ions. It has been found that owing to the departure from the Boltzmann ion distribution to a trapped ion one, the dynamics of small but finite-amplitude electrostatic waves in a magnetized hot dusty plasma is governed by the modified Korteweg–de Vries (KdV) equation. The latter admits a stationary solitary wave solution that has a larger amplitude, a smaller width, and higher propagation velocity, than that involving Boltzmann distributed ions. It has been shown that the effects of obliqueness, external magnetic field, trapped ions, and free electrons change the behavior of these electrostatic solitary structures that have been found to exist with only negative potential in this dusty plasma model.