Dust-acoustic solitary waves in dusty plasma with variable dust charge

TL;DR

This paper investigates dust-acoustic solitary waves in dusty plasma with variable dust charge, deriving KdV and mKdV equations, Sagdeev potential, and stability conditions for solitons.

Contribution

It introduces a model for dusty plasma with variable dust charge and derives new KdV, mKdV equations, and stability criteria for dust-acoustic solitary waves.

Findings

Derived KdV and mKdV equations for the system

Established Sagdeev potential and stability conditions

Analyzed effects of variable dust charge on wave behavior

Abstract

In this article we are going to consider dust acoustic wave in dusty plasma whose constituents are inertial negative charged dust particles, Boltzmann distributed electrons and non-thermal distributed ions with variable dust charge. Using reductive perturbation method, we have obtained Korteweg-de Veries (kdv) and modified kdv(mkdv) equations. A Sagdeev potential for the system and stability conditions for solitonic solution are also derived.