Properties of Electron-Ion Acoustic Solitary Waves in a Four Component Degenerate Quantum Plasma

This research focuses on the nonlinear propagation of electron-ion (El) acoustic solitary waves in a degenerate quantum plasma (containing Maxwellian electrons, vortex-like negative ions, cold mobile positive ions, and arbitrarily charged static dust grains) have been theoretically investigated. The Korteweg-de Vries (K-dV) and modified K-dV (mK-dV) equations are derived by adopting the reductive perturbation method. Their stationary solutions are derived and analyzed analytically as well as numerically to study some new basic fea¬tures of the El acoustic solitary structures that are commonly found to exist in degenerate quantum plasma. It is found that the basic properties (viz. amplitude, width, and phase speed, etc.) of the El acoustic waves are significantly modified by the effects of relativistically degenerate electrons and light ions, quantum pressure, number densities of plasma particles, and external magnetic field, etc. The results of this theoretical investigation may be useful for understanding the formation and fea¬tures of the solitary structures in astrophysical compact objects like white dwarfs, neutron stars, active galactic nuclei, pulsars etc. are pinpointed.