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The properties of nucleus-acoustic (NA) solitary waves (SWs) and doublelayers (DLs) in a four-component magnetized degenerate quantum plasma system(containing non-degenerate inertial light nuclei, both non-relativistically andultra-relativistically degenerate electrons and positrons, and immobile heavynuclei) are theoretically investigated by the reductive perturbation method.The Korteweg-de Vries (K-dV), the modified K-dV (MK-dV), and the Gardnerequations are derived to examine the basic features (viz. amplitude, speed, andwidth) of NA SWs and DLs. It is found that the effects of theultra-relativistically degenerate electrons and positrons, stationary heavynuclei, external magnetic field (obliqueness), etc. significantly modify thebasic features of the NA SWs and DLs. The basic features and the underlyingphysics of NA SWs and DLs, which are relevant to some astrophysical compactobjects including white dwarfs and neutron stars, are pinpointed.

Nucleus-acoustic solitary waves and double layers in a magnetized degenerate quantum plasma