Stationary Structures in Two-Dimensional Continuous Heisenberg Ferromagnetic Spin System

DOI

10.2991/jnmp.2003.10.3.2How to use a DOI?

Abstract

Stationary structures in a classical isotropic two-dimensional continuous Heisenberg ferromagnetic spin system are studied in the framework of the (2 + 1)-dimensional Landau­Lifshitz model. It is established that in the case of S(r, t) = S(r - vt) the Landau­Lifshitz equation is closely related to the Ablowitz­Ladik hierarchy. This relation is used to obtain soliton structures, which are shown to be caused by joint ation 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 + 1dimensional Landau­Lifshitz equation.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - G.M. Pritula
AU  - V.E. Vekslerchik
PY  - 2003
DA  - 2003/08/01
TI  - Stationary Structures in Two-Dimensional Continuous Heisenberg Ferromagnetic Spin System
JO  - Journal of Nonlinear Mathematical Physics
SP  - 256
EP  - 281
VL  - 10
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.3.2
DO  - 10.2991/jnmp.2003.10.3.2
ID  - Pritula2003
ER  -