Solitary waves in dust-contiminated plasma
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Date
2024-06-26
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UMT Lahore
Abstract
The investigation of solitary waves within dust-contaminated plasma constitutes a fundamental aspect of this thesis. Employing the reductive perturbation technique, various equations such as the Korteweg-de Vries (K-dV), Burger, and hybrid K-dV-Burger equations are systematically modeled, shedding light on the complex dynamics governing such phenomena. Additionally, the Tanh-coth method is adeptly applied to analyze small-amplitude solitary waves, offering comprehensive insights into their behavior. Extending the scope, Sagdeev's pseudo-potential approach is then harnessed to explore large-amplitude dust acoustic solitary waves (DASWs) within complex plasma systems, accommodating both thermal and non-thermal distributions. The behavior of the obtained results of both large and small amplitude is investigated graphically in terms of the plasma parameters like dust kinematic viscosity, superthermal and nonextensive parameters. Notably, the application of these methodologies in the context of the Jupiter atmosphere, specifically at an altitude of 1,070,970 kilometers from its center, reveals the presence of DASWs within the supersonic regime. Through meticulous examination and application of advanced analytical tools, this thesis elucidates crucial aspects of solitary wave propagation in dust-contaminated plasma environments, contributing to the broader understanding of plasma physics phenomena. Changes in soliton existence regions are chiefly driven by variations in dust density and solar wind proton parameters, including density, temperature, and streaming speed. Increased dust density narrows soliton width and heightens amplitude, while higher solar wind proton temperatures broaden solitons.