Dynamics of Polarized Ion-Acoustic Waves in Magnetized Degenerate Multi Ions Plasma with Trapped Electrons: Nonlinear Periodic and Superperiodic Waves

Abstract

The modified Zakharov-Kuznetsov equation for ion-acoustic waves was developed using the reductive perturbation method in a multi-ion plasma system consisting of inertial ions that are both negatively and positively charged, as well as positively charged immobile heavy ions and electrons that are trapped in the presence of a quantizing magnetic field. Depending on the system’s characteristics, we looked at bifurcation analysis. All conceivable phase pictures, including periodic, homoclinic, and superperiodic trajectories, are shown. The occurrence of rarefactive and compressive solitary waves is demonstrated. The finite degenerate temperature, polarization parameter, and plasma particle number densities, charges, and masses all substantially influence these solitons. Furthermore, the plasma system under investigation might accommodate both nonlinear and superlinear periodic waves. The current discoveries are thought to be useful in comprehending the solitary structures in dense quantum plasmas like those seen in white dwarfs.