Self-gravitating Envelope Solitons in a Degenerate Quantum Plasma System

Abstract

The existence and the basic features of ionacoustic (IA) envelope solitons in a self-gravitating degenerate quantum plasma system (SG-DQPS), containing inertial non-relativistically degenerate light and heavy ion species as well as inertialess non-relativistically degenerate positron and electron species, have been theoretically investigated by deriving the nonlinear Schrödinger (NLS) equation. The NLS equation, which governs the dynamics of the IA waves, has disclosed the modulationally stable and unstable regions for the IA waves. The unstable region allows to generate bright envelope solitons which are modulationaly stable. It is found that the stability and the growth rate dependent on the plasma parameters (like, mass and number density of the plasma species). The implications of our results in astronomical compact object (viz. white dwarfs, neutron stars, and black holes, etc.) are briefly discussed.

Rogue waves in multi‐pair plasma medium

“…[38][39][40][41][42][43] When P and Q are of the same sign (P/Q > 0), the evolution of the IAW amplitude is modulationally unstable, whereas when P and Q are of opposite sign (P/Q < 0), the IAWs are modulationally stable in the presence of the external perturbations. [38][39][40][41][42][43] When P and Q are of the same sign (P/Q > 0), the evolution of the IAW amplitude is modulationally unstable, whereas when P and Q are of opposite sign (P/Q < 0), the IAWs are modulationally stable in the presence of the external perturbations.…”