# Self-gravitating envelope solitons in a degenerate quantum plasma system

## TL;DR

This paper theoretically investigates ion-acoustic envelope solitons in a self-gravitating degenerate quantum plasma, deriving a nonlinear Schrödinger equation to analyze stability and soliton formation relevant to astrophysical compact objects.

## Contribution

It introduces a new model for IA envelope solitons in self-gravitating degenerate quantum plasmas, deriving the NLS equation and analyzing stability regions based on plasma parameters.

## Key findings

- Stable and unstable regions for IA waves identified
- Bright envelope solitons can form in unstable regions
- Growth rate depends on plasma mass and density

## Abstract

The existence and the basic features of ion-acoustic (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 Schr\"{o}dinger (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.