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Theoretical and Mathematical Physics

, Volume 124, Issue 1, pp 897–908 | Cite as

Discretizations of the Landau-Lifshits equation

  • V. E. Adler
Article

Abstract

The relation between the Sklyanin chain and the Bäcklund transformations for the Landau-Lifshits equation is established. The stationary solutions of the chain determine an integrable mapping, which is a kind of classical Heisenberg spin chain. Some multifield generalizations are found.

Keywords

Poisson Bracket Heisenberg Chain Nonlinear Schr6dinger Equation Jordan Triple System Discrete Integrable System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • V. E. Adler
    • 1
  1. 1.Institute of Mathematics, Ufa Scientific CenterRASUfaRussia

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