A Study on Nonlinear Ion-Acoustic Solitary Waves in a Warm Dusty Plasma Considering Electron Inertia

Author(s): Jintu Kumar Deka

Abstract:

The study focuses on the nonlinear wave structure of small-amplitude dust ion-acoustic solitary waves in a warm dusty plasma, in the presence of electron inertia. This investigation demonstrates the existence of both compressive and rarefactive solitons in a plasma model comprising negatively charged dust particles, electrons, and non-thermally distributed ions. To analyse these nonlinear ion-acoustic waves in a dusty plasma with electron inertia, the Korteweg-de Vries (KdV) equation is derived. It has been observed that the amplitude and width of compressive and rarefactive solitons respond differently to variations in pressure and the effects of electron inertia. The research outlines the conditions necessary for the existence of these nonlinear ion-acoustic solitons. The analysis is grounded in the fluid equations of motion that govern one-dimensional plasma. Different relational forms of the strength parameter (ε) are selected to stretch the space and time variables, resulting in various nonlinearities. These findings could have significant implications for astrophysical plasmas in inertial confinement fusion.

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