Acta Applicandae Mathematicae

, Volume 122, Issue 1, pp 141–152

Traveling Wave Solutions of the One-Dimensional Extended Landau-Lifshitz-Gilbert Equation with Nonlinear Dry and Viscous Dissipations


DOI: 10.1007/s10440-012-9733-z

Cite this article as:
Consolo, G. & Valenti, G. Acta Appl Math (2012) 122: 141. doi:10.1007/s10440-012-9733-z


The one-dimensional propagation of magnetic domain walls in ferromagnetic nanostrips is investigated in the framework of the extended Landau-Lifshitz-Gilbert equation which includes the effects of spin-polarized currents. The generalized model herein considered explicitly takes also into account two nonlinear mechanisms of dissipation, a rate-dependent viscous-like and a rate-independent dry-like, which are introduced for a better description of the relaxation processes in real samples. By adopting the traveling waves ansatz, we characterize the domain wall motion in two dynamical regimes, steady and precessional. The analytical results are also evaluated numerically in order to elucidate the corresponding physical implications.


MicromagnetismMagnetic domain wallsTraveling wavesNonlinear dry and viscous dissipationSpin-transfer-torque

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Department of Science for Engineering and ArchitectureUniversity of MessinaMessinaItaly