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On recursion operators for elliptic models

Dmitry K. Demskoi·Vladimir V. Sokolov
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Abstract

New quasilocal recursion and Hamiltonian operators for the Krichever-Novikov and the Landau-Lifshitz equations are found. It is shown that the associative algebra of quasilocal recursion operators for these models is generated by a couple of operators related by an elliptic curve equation. A theoretical explanation of this fact for the Landau-Lifshitz equation is given in terms of multiplicators of the corresponding Lax structure.

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Dmitry K. Demskoi, Vladimir V. Sokolov. 2006-07-31. On recursion operators for elliptic models. https://doi.org/10.1088/0951-7715%2F21%2F6%2F006

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