The influence of an external magnetic field on cold plasma oscillations

TL;DR

This paper investigates how a constant magnetic field affects nonlinear oscillations in a magnetoactive plasma, revealing that magnetic enhancement can prevent singularities and promote smooth solutions.

Contribution

It provides a new criterion for singularity formation in magnetoactive plasma oscillations considering magnetic field effects.

Findings

Magnetic field expansion of initial data for smooth solutions

Criterion for finite-dimensional singularity formation

Numerical examples illustrating singularity types

Abstract

For a system of equations describing one-dimensional nonlinear oscillations in a magnetoactive plasma, we study the effect of a constant magnetic field on the breaking of oscillations. For the nonrelativistic case, a criterion for the formation of a finite-dimensional singularity is obtained in terms of the initial data. It is shown that the enhancement of the magnetic field basically leads to an expansion of the class of initial data providing the global smoothness of the solution. The nature of the singularities of the solutions is illustrated by numerical examples.