Nonlinear waves in magnetized quark matter and the reduced Ostrovsky equation

TL;DR

This paper derives a nonlinear wave equation for baryon density perturbations in magnetized quark matter, revealing how strong magnetic fields influence wave behavior through analytical solutions of the reduced Ostrovsky equation.

Contribution

It introduces a novel nonlinear wave model for magnetized quark matter based on the reduced Ostrovsky equation, with analytical solutions and magnetic field effects.

Findings

Analytical solutions for nonlinear waves in magnetized quark matter.

Magnetic field effects on wave propagation are identified.

The wave dynamics are described by a reduced Ostrovsky equation.

Abstract

We study nonlinear waves in a nonrelativistic ideal and cold quark gluon plasma immersed in a strong uniform magnetic field. In the context of nonrelativistic hydrodynamics with an external magnetic field we derive a nonlinear wave equation for baryon density perturbations, which can be written as a reduced Ostrovsky equation. We find analytical solutions and identify the effects of the magnetic field.