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Multicomponent generalization of the hierarchy of the Landau-Lifshitz equation

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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.

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Authors and Affiliations

  1. Ufa Pedagogical Institute, Ufa, Russian

    I. Z. Golubchik

  2. Center for Nonlinear Research, Landau Institute of Theoretical Physics, RAS, Moscow, Russia

    V. V. Sokolov

Authors
  1. I. Z. Golubchik
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  2. V. V. Sokolov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 1, pp. 62–71, July, 2000.

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Golubchik, I.Z., Sokolov, V.V. Multicomponent generalization of the hierarchy of the Landau-Lifshitz equation. Theor Math Phys 124, 909–917 (2000). https://doi.org/10.1007/BF02551067

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  • DOI: https://doi.org/10.1007/BF02551067

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