Abstract

The obliquely propagating electron-ion (EI) acoustic solitary waves in a degenerate quantum plasma (containing relativistic magnetized quantum electrons and light ions in the presence of stationary heavy ions) 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 features of the EI acoustic solitary structures that are commonly found to exist in degenerate quantum plasmas. It is found that the basic properties (viz., amplitude, width, and phase speed) of the EI 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. The results of this theoretical investigation may be useful for understanding the formation and features of the solitary structures in astrophysical compact objects such as white dwarfs and neutron stars.

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