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Discretizations of the Landau-Lifshits equation

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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.

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Authors and Affiliations

  1. Institute of Mathematics, Ufa Scientific Center, RAS, Ufa, Russia

    V. E. Adler

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  1. V. E. Adler
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 1, pp. 48–61, July, 2000.

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Adler, V.E. Discretizations of the Landau-Lifshits equation. Theor Math Phys 124, 897–908 (2000). https://doi.org/10.1007/BF02551066

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