Oscillons in a perturbed signum-Gordon model

TL;DR

This paper investigates the existence, stability, and properties of oscillons in a perturbed signum-Gordon model derived from the Skyrme model, aiming to understand their role in the rational map approximation.

Contribution

It introduces a novel perturbed signum-Gordon model from the Skyrme model and analyzes its oscillons, revealing insights into their stability and properties.

Findings

Oscillons exist and are stable under certain conditions.

The perturbed model exhibits unique time-dependent states.

Insights into the rational map ansatz's effectiveness.

Abstract

We study various properties of a perturbed signum-Gordon model, which has been obtained through the dimensional reduction of the called `first BPS submodel of the Skyrme model'. This study is motivated by the observation that the first BPS submodel of the Skyrme model may be partially responsible for the good qualities of the rational map ansatz approximation to the solutions of the Skyrme model. We investigate the existence, stability and various properties of oscillons and other time-dependent states in this perturbed signum-Gordon model.