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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 38, Number 1, Pages 26–35 (Mi tmf2538)  
This article is cited in 298 scientific papers (total in 298 papers)

Equivalence of the nonlinear Schrödinger equation and the equation of a Heisenberg ferromagnet

V. E. Zakharov, L. A. Takhtadzhyan
Full-text PDF (1096 kB) Citations (298)
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Abstract: The concept of gauge equivalence is introduced for nonlinear equations that can be integrated by the inverse scattering technique. It is shown that the nonlinear Schrödinger equation is equivalent to a continuous isotropic chain of Heisenberg spins.
Received: 06.02.1978
English version:
Theoretical and Mathematical Physics, 1979, Volume 38, Issue 1, Pages 17–23
DOI: https://doi.org/10.1007/BF01030253
Bibliographic databases:
Language: Russian
Citation: V. E. Zakharov, L. A. Takhtadzhyan, “Equivalence of the nonlinear Schrödinger equation and the equation of a Heisenberg ferromagnet”, TMF, 38:1 (1979), 26–35; Theoret. and Math. Phys., 38:1 (1979), 17–23
Citation in format AMSBIB
\Bibitem{ZakTak79}
\by V.~E.~Zakharov, L.~A.~Takhtadzhyan
\paper Equivalence of the nonlinear Schr\"odinger equation and the equation of a~Heisenberg ferromagnet
\jour TMF
\yr 1979
\vol 38
\issue 1
\pages 26--35
\mathnet{http://mi.mathnet.ru/tmf2538}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525848}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 38
\issue 1
\pages 17--23
\crossref{https://doi.org/10.1007/BF01030253}
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  • https://www.mathnet.ru/eng/tmf/v38/i1/p26
    • This publication is cited in the following 298 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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    Abstract page:1139
    Full-text PDF :487
    References:80
    First page:3
     
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