Electrostatic solitary waves in an ultra-relativistic degenerate quantum plasma

Electrostatic solitary waves in an ultra-relativistic degenerate quantum plasma sphere have been investigated by the reductive perturbation method. The modified Korteweg de-Vries equation has been derived, and its numerical solutions have been analyzed to study the basic features of spherical electrostatic solitary structures in such an ultra-relativistic degenerate quantum plasma sphere. The implications of our results in some interstellar objects, particularly in white dwarf, have been briefly discussed.