Numerical simulation of oscillating topological solitons in 2D O(3) nonlinear sigma model

TL;DR

This paper uses numerical simulations to explore how oscillating topological solitons interact in a 2D O(3) nonlinear sigma model, revealing oscillatory behaviors driven by changes in isotopic spin rotation.

Contribution

It introduces models of oscillating topological soliton interactions and analyzes their properties within the anisotropic 2D O(3) sigma model.

Findings

Oscillatory dynamics of solitons due to isotopic spin rotation.

Models of soliton interactions with oscillatory behavior.

Properties of oscillating topological solitons analyzed.

Abstract

Dynamics of interaction of topological solitons (vortices) in (2+1)-dimensional O(3) nonlinear sigma model in anisotropic case are investigated. By numerical simulation methods is shown that the changes of rotation frequency of isotopic spin in the fiber space leads to an oscillatory dynamics of topological solitons. The models of interaction of oscillating topological solitons are obtained and their properties are investigated.