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This article is cited in 29 scientific papers (total in 29 papers)
Multicomponent generalization of the hierarchy of the Landau–Lifshitz equation
I. Z. Golubchika, V. V. Sokolovb
a Bashkir State Pedagogical University
b Landau Institute for Theoretical Physics, Centre for Non-linear Studies
Abstract:
We construct a second-order $2N$-component integrable system (with arbitrary $N$) whose spectral parameter lies on a curve of genus $g=1+(N-3)2^{N-2}$. 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.
DOI:
https://doi.org/10.4213/tmf626
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Theoretical and Mathematical Physics, 2000, 124:1, 909–917
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Received: 31.01.2000
Citation:
I. Z. Golubchik, V. V. Sokolov, “Multicomponent generalization of the hierarchy of the Landau–Lifshitz equation”, TMF, 124:1 (2000), 62–71; Theoret. and Math. Phys., 124:1 (2000), 909–917
Citation in format AMSBIB
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\pages 909--917
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