Sarkar, S.Sett, A.Pramanick, S.Ghosh, T.Das, C.Chandra, S.2026-02-042022IEEE Transactions on Plasma Science, 2022, 50, 6, pp. 1477-1487933813https://doi.org/10.1109/TPS.2022.3146441https://idr.nitk.ac.in/handle/123456789/22560In 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.Gamma raysIon acoustic wavesPerturbation techniquesPlasma stabilitySolitonsSpheresStability criteriaHomotopiesHomotopy perturbation methodIon-acoustic wavesKadomtsev-Petviashvili equationPerturbation methodQuantum-hydrodynamic modelsReductive perturbationRelativistic degeneracyRelativisticsSpherical kadomtsev-petviashvili equation.Dynamical systems