Degenerate pressure driven self-gravito-acoustic solitary and shock structures

Abstract

The basic features of 1D planar, cylindrical and spherical solitary and shock structures associated with the degenerate pressure driven self-gravito-acoustic (DPD-SGA) waves are investigated. The DPD-SGA waves are excited due to the combined effects of the inward gravitational force and the outward degenerate pressure driven force acting among the degenerate electrons and nucleus (viz. 12H or 24He or 612C or 816O) species. The latter occur in many astrophysical compact objects like white dwarfs and neutron stars. The reductive perturbation method is employed to derive the modified Korteweg–de Vries and Burgers equations which represent the dynamical equations for the DPD-SGA solitary and shock waves, respectively. The modified Korteweg–de Vries and Burgers equations are numerically solved to identify the basic features of 1D planar, cylindrical and spherical DPD-SGA solitary and shock waves by considering 1D planar, cylindrical and spherical geometries, respectively. The direct applications of the results of this theoretical investigation in astrophysical compact objects like white dwarfs and neutron stars are briefly mentioned.