Nonlinear excitations in a degenerate relativistic magneto-rotating quantum plasma

An investigation of heavy nucleus-acoustic (HNA) excitations in a degenerate relativistic magnetorotating quantum plasma system comprising relativistically degenerate light nuclei/electrons and inertial nondegenerate heavy nuclei has been presented. The Zakharov-Kuznetsov-Burgers (ZKB) equation has been derived by employing the reductive perturbation method. The solution of the ZKB equation supports only positive potential monotonic and oscillatory HNA shock waves in congruence with the space observations. It is observed that the heavy nucleus viscosity is a source of dissipation and is responsible for the formation of HNA monotonic and oscillatory shock structures. Bifurcation analysis is also examined in the absence of dissipation. It is shown that the combined effects of external magnetic field strength, rotational frequency, and obliqueness significantly modify the basic properties of different HNA nonlinear structures. The results should be utilitarian to understand the characteristics of nonlinear excitations in degenerate relativistic magnetorotating quantum plasma which is present in astrophysical compact objects especially in white dwarfs and neutron stars.