Volume 10, Issue 3, August 2003, Pages 256 - 281
Stationary Structures in Two-Dimensional Continuous Heisenberg Ferromagnetic Spin System
G M PRITULA, V E VEKSLERCHIK
G M PRITULA
Received 30 May 2002, Revised 12 November 2002, Accepted 21 November 2002, Available Online 1 August 2003.
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- 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.
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Cite this article
TY - JOUR AU - G M PRITULA AU - V E VEKSLERCHIK PY - 2003 DA - 2003/08 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 - https://doi.org/10.2991/jnmp.2003.10.3.2 ID - PRITULA2003 ER -