Spin breather and rogue formations in a Heisenberg ferromagnetic system

TL;DR

This paper constructs explicit breather solutions for a 1D Heisenberg ferromagnetic system, revealing distinct behaviors including rogue spin field formations, and links these to solutions of the nonlinear Schrödinger equation.

Contribution

It provides explicit spin configurations for breather solutions in a Heisenberg ferromagnet, connecting them to nonlinear Schrödinger equation solutions and identifying rogue behaviors.

Findings

Identification of three distinct breather behaviors

Explicit construction of spin configurations for breathers

Observation of rogue spin field formations

Abstract

We construct explicit spin configurations for the breather solution of a one-dimensional Heisenberg ferromagnetic spin system. This corresponds to the breather soliton solution of the gauge equivalent nonlinear Schr\"{o}dinger equation. There are three broad cases, wherein the solution shows distinct behavior. Of particular interest to our study is the rogue behavior in spin field terms.