On the Evolution of Transverse Domain Walls in Biaxial Magnetic Nanowires

Abstract

In this article, we analyze the dynamics of transverse domain walls in the framework of one-dimensional biaxial magnetic nanowires induced by the small applied magnetic fields. The evolution of magnetization in the nanowire is governed by the modified version of Landau-Lifshitz-Gilbert equation which consists of nonlinear dissipations namely dry-friction and viscous. We investigate the features of traveling wave solutions using the perturbation expansion technique. More precisely, we derive an expression for the zero order traveling wave solutions under the action of small and mild transverse magnetic fields.