Arbitrary amplitude dust-acoustic waves in four-component dusty plasma using non-extensive electrons and ions distributions-soliton solution

Abstract

The four-component dusty plasma consisting of positive and negative dust species, electrons, and ions is considered for study. The fluid dynamics equations are applied to describe the motion of the two dust species. Both the electrons and ions are described by employing non-extensive distributions. The one-dimensional arbitrary amplitude of an electrostatic solitary structure has been studied using the Sagdeev pseudo-potential and phase-portrait approaches. In addition to the existence of either the compressive or rarefactive solitary wave, the analysis shows that these two types of waves coexist and propagate in the studied plasma model. Due to the complexity involved in the structure of Sagdeev pseudo-potential, a small amplitude approximation is considered. The corresponding potential diagrams and phase portrait are investigated and the analysis supports the existence of both compressive and rarefactive solitary waves in the considered plasma.