Abstract
The basic properties of the nucleus-acoustic (NA) solitary waves (SWs) are investigated in a super-dense self-gravitating magnetized quantum plasma (SDSGMQP) system in the presence of an external magnetic field, whose constituents are the non-degenerate light as well as heavy nuclei, and non-/ultra-relativistically degenerate electrons. The Korteweg–de Vries (KdV) equation has been derived by employing the reductive perturbation method. The NA SWs are formed with negative (positive) electrostatic (self-gravitational) potential. It is also observed that the effects of non-/ultra-relativistically degenerate electron pressure and the obliqueness of the external magnetic field significantly change the basic properties (e.g., amplitude, width, and speed) of NA SWs. The implications of the findings of our present investigation in explaining the physics behind the formation of the NA SWs in astrophysical compact objects like neutron stars are briefly discussed.
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