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title:
 
Stationary Structures in Two-Dimensional Continuous Heisenberg Ferromagnetic Spin System
publication:
 
JNMP
volume-issue:   10 - 3
pages:   256 - 281
ISSN:
   1402-9251
DOI:
   doi:10.2991/jnmp.2003.10.3.2 (how to use a DOI)
author(s):
 
G M PRITULA, V E VEKSLERCHIK
publication date:
 
August 2003
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:
  
© Atlantis Press. This article is distributed under the terms of the Creative Commons Attribution License, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited.
full text:
 
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