Theoretical and Mathematical Physics

, Volume 109, Issue 1, pp 1345–1351 | Cite as

On the asymptotic evolution of a localized perturbation of the one-dimensional Landau-Lifshits equation with uniaxial anisotropy

  • A. M. Kamchatnov
  • A. L. Krylov
  • G. A. El'
Article

Abstract

The witham method is applied to analyze the modulation instability of plane waves in a one-dimensional ferromagnet described by the Landau-Lifshits equation with uniaxial anisotropy. It is shown that the instability results in the formation of a domain structure in the system.

Keywords

Anisotropy Plane Wave Domain Structure Modulation Instability Localize Perturbation 

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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • A. M. Kamchatnov
    • 1
  • A. L. Krylov
    • 2
  • G. A. El'
    • 3
  1. 1.Troitsk Institute of Innovative and Thermonuclear StudiesTroitsk, Moscow RegionRussia
  2. 2.O. Yu. Schmidt Institute of Earth PhysicsRussian Academy of SciencesMoscowRussia
  3. 3.Institute for Terrestrial Magnetism, Ionosphere, and Radio Wave PropagationRussian Academy of SciencesTroitsk, Moscow RegionRussia

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