Stationary structures in two-dimensional continuous Heisenberg ferromagnetic spin system
Abstract
Stationary structures in a classical isotropic two-dimensional continuous Heisenberg ferromagnetic spin system are studied in the framework of the (2+1)-dimensional Landau-Lifshitz model. It is established that in the case of \vec S (\vec r, t)= \vec S (\vec r - \vec v t) the Landau-Lifshitz equation is closely related to the Ablowitz-Ladik hierarchy. This relation is used to obtain soliton structures, which are shown to be caused by joint action of nonlinearity and spatial dispersion, contrary to the well-known one-dimensional solitons which exist due to competition of nonlinearity and temporal dispersion. We also present elliptical quasiperiodic stationary solutions of the stationary (2+1)-dimensional Landau-Lifshitz equation.
Cite
@article{arxiv.nlin/0009043,
title = {Stationary structures in two-dimensional continuous Heisenberg ferromagnetic spin system},
author = {G. M. Pritula and V. E. Vekslerchik},
journal= {arXiv preprint arXiv:nlin/0009043},
year = {2012}
}
Comments
Archive version is already official Published by JNMP at http://www.sm.luth.se/math/JNMP/