Geodesic
Multicomponent generalization of the hierarchy of the Landau–Lifshitz equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 62-71 
I. Z. Golubchik; V. V. Sokolov. Multicomponent generalization of the hierarchy of the Landau–Lifshitz equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 62-71. http://geodesic.mathdoc.fr/item/TMF_2000_124_1_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We construct a second-order $2N$-component integrable system (with arbitrary $N$) whose spectral parameter lies on a curve of genus $g=1+(N-3)2^{N-2}$. 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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