Spin breather and rogue formations in a Heisenberg ferromagnetic system

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 Schrödinger 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.

5 pages, 5 figures