# Information-entropic analysis of Korteweg--de Vries solitons in the quark-gluon plasma

## TL;DR

This paper applies information theory, specifically configurational entropy, to analyze Korteweg--de Vries solitons in a quark-gluon plasma, revealing how the soliton's informational content relates to its physical properties.

## Contribution

It introduces a novel application of configurational entropy to study soliton properties in a quark-gluon plasma model, linking information theory with plasma physics.

## Key findings

- Identifies the soliton width with maximum informational compression.
- Provides a new perspective on soliton stability through information measures.
- Connects the spatial profile of solitons with their informational content.

## Abstract

Solitary waves propagation of baryonic density perturbations, ruled by the Korteweg--de Vries equation in a mean-field quark-gluon plasma model, are investigated from the point of view of the theory of information. A recently proposed continuous logarithmic measure of information, called configurational entropy, is used to derive the soliton width, defining the pulse, for which the informational content of the soliton spatial profile is more compressed, in the Shannon's sense.