Numerical simulation of the interactions of domain walls with breathers in two-dimensional O(3) nonlinear sigma model

TL;DR

This paper uses numerical simulations to study how domain walls interact with breathers in a 2D O(3) nonlinear sigma model, revealing reflection, long-range interactions, and decay phenomena.

Contribution

It provides new insights into the dynamics of domain walls and breathers in the 2D O(3) nonlinear sigma model through detailed numerical analysis.

Findings

Reflection of solitons observed during interactions

Presence of long-range interactions between solitons and domain walls

Decay of oscillating solitons documented

Abstract

By methods of numerical simulation the interaction of 180-degree domain walls with oscillating solitons in (2+1)-dimensional O(3) nonlinear sigma model is investigated. A model of the collisions in which there is observed a reflection of solitons from each other, long-range interactions, as well as the decay of the oscillating soliton are obtained.