Homotopy Study of Spherical Ion-Acoustic Waves in Relativistic Degenerate Galactic Plasma
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Date
2022
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Journal ISSN
Volume Title
Publisher
Institute of Electrical and Electronics Engineers Inc.
Abstract
In this work, we start with the ion-acoustic waves in galactic plasma with the degenerate matter. We use the reductive perturbation technique to derive the spherical Kadomtsev-Petviashvili (SKP) equation. We next employ homotopy-aided symbolic simulation (HASS) to study the evolution of the spherical solitary wavefront. We compare the results obtained by HPM and RPT. To understand how the system behaves, we transform the evolutionary equations into a dynamical system. The phase portraits and the superperiodic waves reflect on the intricate processes within the plasma and determine the stability criteria and possible situations of chaos. The work will find applications in many astrophysical observations, such as electrostatic wave modes, gamma-ray bursts, and double-layer solitons. PACS-95.30.Qd, 52.65.-y, 52.35.-g, 52.35.Tc. © 1973-2012 IEEE.
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Keywords
Gamma rays, Ion acoustic waves, Perturbation techniques, Plasma stability, Solitons, Spheres, Stability criteria, Homotopies, Homotopy perturbation method, Ion-acoustic waves, Kadomtsev-Petviashvili equation, Perturbation method, Quantum-hydrodynamic models, Reductive perturbation, Relativistic degeneracy, Relativistics, Spherical kadomtsev-petviashvili equation., Dynamical systems
Citation
IEEE Transactions on Plasma Science, 2022, 50, 6, pp. 1477-1487