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Teoreticheskaya i Matematicheskaya Fizika, 1974, Volume 19, Number 3, Pages 332–343 (Mi tmf3592)  
This article is cited in 149 scientific papers (total in 149 papers)

On the complete integrability of a nonlinear Schrödinger equation

V. E. Zakharov, S. V. Manakov
Full-text PDF (1267 kB) Citations (149)
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Abstract: It is shown that a nonlinear Schrödinger equation, regarded as the Hamiltonian of a system, is completely integrable. A transition to angle and action variables is made by means of the $S$-matrix of the one-dimensional Dirae operator.
Received: 16.04.1973
English version:
Theoretical and Mathematical Physics, 1974, Volume 19, Issue 3, Pages 551–559
DOI: https://doi.org/10.1007/BF01035568
Bibliographic databases:
Language: Russian
Citation: V. E. Zakharov, S. V. Manakov, “On the complete integrability of a nonlinear Schrödinger equation”, TMF, 19:3 (1974), 332–343; Theoret. and Math. Phys., 19:3 (1974), 551–559
Citation in format AMSBIB
\Bibitem{ZakMan74}
\by V.~E.~Zakharov, S.~V.~Manakov
\paper On the complete integrability of a~nonlinear Schr\"odinger equation
\jour TMF
\yr 1974
\vol 19
\issue 3
\pages 332--343
\mathnet{http://mi.mathnet.ru/tmf3592}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468821}
\zmath{https://zbmath.org/?q=an:0293.35025}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 19
\issue 3
\pages 551--559
\crossref{https://doi.org/10.1007/BF01035568}
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  • https://www.mathnet.ru/eng/tmf/v19/i3/p332
    • This publication is cited in the following 149 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:2105
    Full-text PDF :981
    References:124
    First page:4
     
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