https://doi.org/10.1140/epjb/e2008-00362-y
Domain wall motion in ferromagnets modelled by a quintic complex Ginzburg-Landau equation
1
Fundamental Physics Laboratory Group of, Nonlinear Science and Complex Systems, Department of Physics, Faculty of Science University of Douala, P.O. Box, 24157 Douala, Cameroon
2
Condensed Matter and Statistical Physics section of the Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy
3
Laboratoire de Mécanique, Faculté des Sciences, Université de Yaoundé I B.P. 812, Yaoundé, Cameroun
Corresponding author: a nguenang@yahoo.com
Received:
29
August
2007
Revised:
13
May
2008
Published online:
25
September
2008
A quintic complex Ginzburg-Landau equation is derived from a Landau-Lifshitz-Gilbert equation and is used to describe the magnetization dynamics in a one-dimensional uni-axial ferromagnet. Trough the use of suitable approximations, we derive the magnetic solitary wave excitations solutions which have pulse-like shapes. Subsequent numerical simulations reveal domain wall propagation.
PACS: 47.35.fg – Solitary waves / 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.) / 67.30.hj – Spin dynamics / 71.35.Ji – Excitons in magnetic fields; magnetoexcitons
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008