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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 1, Pages 62–71
DOI: https://doi.org/10.4213/tmf626 (Mi tmf626) 		 
This article is cited in 37 scientific papers (total in 37 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
Full-text PDF (218 kB) Citations (37)
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DOI: https://doi.org/10.4213/tmf626
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.
Received: 31.01.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 1, Pages 909–917
DOI: https://doi.org/10.1007/BF02551067
Bibliographic databases:
Language: Russian
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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\paper Multicomponent generalization of the hierarchy of the Landau--Lifshitz equation
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\jour Theoret. and Math. Phys.
\yr 2000
\vol 124
\issue 1
\pages 909--917
\crossref{https://doi.org/10.1007/BF02551067}
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    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:59
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