# Nucleus-acoustic envelope solitons and their modulational instability in a degenerate quantum plasma system

## TL;DR

This paper theoretically investigates nucleus-acoustic envelope solitons in degenerate quantum plasmas, revealing their stability properties and how particle densities influence their characteristics, with implications for astrophysical objects.

## Contribution

It derives the nonlinear Schrödinger equation for nucleus-acoustic waves in degenerate quantum plasmas and analyzes the stability and properties of bright and dark solitons.

## Key findings

- Bright solitons are modulationally unstable.
- Dark solitons are stable.
- Particle density significantly affects soliton properties.

## Abstract

The basic features of nucleus-acoustic (NA) envelope bright and dark solitons, which exist in degenerate quantum plasmas, have been theoretically investigated by deriving the nonlinear Schr\"odinger (NLS) equation. The reductive perturbation method, which is valid for a small but finite amplitude limit, is employed. It is found that the bright envelope solitons are modulationally unstable, whereas the dark ones are stable. It is also observed that the fundamental properties (viz. Modulational instability (MI) growth rate, width and energy concentration of NA waves, etc.) of NA unstable bright envelope solitons are significantly modified by constituent particles number density. The implications of our results obtained from our present investigation in astrophysical compact objects like white dwarfs and neutron stars are briefly discussed.