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Theoretical and Mathematical Physics

, Volume 124, Issue 1, pp 909–917 | Cite as

Multicomponent generalization of the hierarchy of the Landau-Lifshitz equation

  • I. Z. Golubchik
  • V. V. Sokolov
Article

Abstract

We construct a second-order 2N-component integrable system (with arbitrary N) whose spectral parameter lies on a curve of genus g=1+(N-3)2N−2. The odd-order flows admit N-component reductions, which for N=3 coincide with the odd-order flows of the hierarchy of the Landau-Lifshitz equation.

Keywords

Spectral Curve Hamiltonian Structure Inverse Scattering Method Nonlinear SchrSdinger Equation Trigonometric Parameterization 
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Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • I. Z. Golubchik
    • 1
  • V. V. Sokolov
    • 2
  1. 1.Ufa Pedagogical InstituteUfaRussian
  2. 2.Center for Nonlinear Research, Landau Institute of Theoretical PhysicsRASMoscowRussia

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