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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 46, Number 3, Pages 371–381 (Mi tmf2345)  
This article is cited in 27 scientific papers (total in 27 papers)

Linear pseudopotentials and conservation laws for the Landau–Lifshits equation describing the nonlinear dynamics of a ferromagnet with uniaxial anisotropy

A. E. Borovik, V. N. Robuk
Full-text PDF (1368 kB) Citations (27)
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Abstract: The methods of differential geometry are used to obtain a set of pseudopotential representations of the Landau–Lifshits equation that describes the nonlinear dynamics of a uniaxial ferromagnet. It is shown that linear pseudopotentials of a definite type are equivalent to a Lax representation. The direct scattering problem is investigated for some linear spectral problems associated with the Landau–Lifshits equation, and a polynomial series of conservation laws is found.
Received: 21.01.1980
English version:
Theoretical and Mathematical Physics, 1981, Volume 46, Issue 3, Pages 242–248
DOI: https://doi.org/10.1007/BF01032734
Bibliographic databases:
Language: Russian
Citation: A. E. Borovik, V. N. Robuk, “Linear pseudopotentials and conservation laws for the Landau–Lifshits equation describing the nonlinear dynamics of a ferromagnet with uniaxial anisotropy”, TMF, 46:3 (1981), 371–381; Theoret. and Math. Phys., 46:3 (1981), 242–248
Citation in format AMSBIB
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\by A.~E.~Borovik, V.~N.~Robuk
\paper Linear pseudopotentials and conservation laws for the Landau--Lifshits equation describing the nonlinear dynamics of a~ferromagnet with uniaxial anisotropy
\jour TMF
\yr 1981
\vol 46
\issue 3
\pages 371--381
\mathnet{http://mi.mathnet.ru/tmf2345}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=622517}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 46
\issue 3
\pages 242--248
\crossref{https://doi.org/10.1007/BF01032734}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MN84000011}
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  • https://www.mathnet.ru/eng/tmf/v46/i3/p371
    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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