On the Soliton Solutions in a Self-Gravitating Strongly Coupled Electron–Ion–Dusty Plasma

The effect of electrostatic strong coupling of dust particles along with their self-gravitational force has been analyzed in a three-component dusty plasma. The electrons and ions form the charge neutral background where the electron distribution is assumed to be Maxwellian while the ion distribution is nonthermal. These days, one of the key topics in plasma physics is nonlinear waves in plasma. By using the reductive perturbation technique to the set of hydrodynamic equation considered for an electron–ion–dusty (e-i-d) plasma, a coupled korteweg–de vries (KdV) equation is derived. The impact of strong coupling and self-gravitation on the solitary wave profiles, nonlinear coefficient, and dispersive coefficient are studied both analytically and by numerical simulation.