Soliton Decay in Coupled System of Scalar Fields

TL;DR

This paper introduces a coupled scalar field system with multiple soliton solutions, analyzing their stability, decay processes, and properties through theoretical principles and numerical simulations.

Contribution

It presents a new coupled scalar field model with a spectrum of solitons, studying their stability and decay using variational and numerical methods.

Findings

Unstable solitons decay into stable lower-mass solitons.

Rest energies are computed using a variational approach.

Numerical solutions illustrate the dynamics of soliton decay.

Abstract

A system of coupled scalar fields is introduced which possesses a spectrum of massive single-soliton solutions. Some of these solutions are unstable and decay into lower mass stable solitons. Some properties of the solutions are obtained using general principles including conservations of energy and topological charges. Rest energies are calculated via a variational scheme, and the dynamics of the coupled fields are obtained by solving the field equations numerically.