Existence of travelling-wave solutions representing domain wall motion in a thin ferromagnetic nanowire
arXiv:1512.06016
Abstract
We study the dynamics of a domain wall under the influence of applied magnetic fields in a one-dimensional ferromagnetic nanowire, governed by the Landau--Lifshitz--Gilbert equation. Existence of travelling-wave solutions close to two known static solutions is proven using implicit-function-theorem-type arguments.
12 pages