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TMF, 1976, Volume 28, Number 1, Pages 38–45 (Mi tmf3350)  

This article is cited in 11 scientific papers (total in 13 papers)

Comparison of the exact quantum and quasiclassical results for a nonlinear Schrödinger equation

P. P. Kulish, S. V. Manakov, L. D. Faddeev


Abstract: The exact quantum and quasiclassical results are compared for a nonlinear Schrödinger equation.

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English version:
Theoretical and Mathematical Physics, 1976, 28:1, 615–620

Bibliographic databases:

Received: 27.01.1976

Citation: P. P. Kulish, S. V. Manakov, L. D. Faddeev, “Comparison of the exact quantum and quasiclassical results for a nonlinear Schrödinger equation”, TMF, 28:1 (1976), 38–45; Theoret. and Math. Phys., 28:1 (1976), 615–620

Citation in format AMSBIB
\Bibitem{KulManFad76}
\by P.~P.~Kulish, S.~V.~Manakov, L.~D.~Faddeev
\paper Comparison of the exact quantum and quasiclassical results for a nonlinear Schr\"odinger equation
\jour TMF
\yr 1976
\vol 28
\issue 1
\pages 38--45
\mathnet{http://mi.mathnet.ru/tmf3350}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=462300}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 28
\issue 1
\pages 615--620
\crossref{https://doi.org/10.1007/BF01028912}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1976EC73100003}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. I. V. Simenog, “Asymptotic solution of stationary nonlinear Hartree equation”, Theoret. and Math. Phys., 30:3 (1977), 263–268  mathnet  crossref  mathscinet
    2. V. P. Belavkin, V. P. Maslov, “Uniformization method in the theory of Nonlinear Hamiltonian systems of Vlasov and Hartree type”, Theoret. and Math. Phys., 33:1 (1977), 852–862  mathnet  crossref  mathscinet
    3. V. E. Zakharov, L. A. Takhtadzhyan, “Equivalence of the nonlinear Schrödinger equation and the equation of a Heisenberg ferromagnet”, Theoret. and Math. Phys., 38:1 (1979), 17–23  mathnet  crossref  mathscinet
    4. V. S. Gerdjikov, P. P. Kulish, “Derivation of the Bäcklund transformation in the formalism of the inverse scattering problem”, Theoret. and Math. Phys., 39:1 (1979), 327–331  mathnet  crossref  mathscinet  isi
    5. F. A. Smirnov, “Connection between the sine-Gordon model and the massive bose thirring model”, Theoret. and Math. Phys., 53:3 (1982), 1153–1160  mathnet  crossref  mathscinet  isi
    6. Yu. S. Osipov, A. A. Gonchar, S. P. Novikov, V. I. Arnol'd, G. I. Marchuk, P. P. Kulish, V. S. Vladimirov, E. F. Mishchenko, “Lyudvig Dmitrievich Faddeev (on his sixtieth birthday)”, Russian Math. Surveys, 50:3 (1995), 643–659  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. “Osnovnye nauchnye trudy Petra Petrovicha Kulisha”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 23, Zap. nauchn. sem. POMI, 433, POMI, SPb., 2015, 8–19  mathnet  mathscinet
    8. Pustilnik M. Matveev K.A., “Fate of Classical Solitons in One-Dimensional Quantum Systems”, Phys. Rev. B, 92:19 (2015), 195146  crossref  isi
    9. K. K. Kozlowski, E. K. Sklyanin, A. Torrielli, “Quantization of the Kadomtsev–Petviashvili equation”, Theoret. and Math. Phys., 192:2 (2017), 1162–1183  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    10. L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    11. Sotiriadis S., “Equilibration in One-Dimensional Quantum Hydrodynamic Systems”, J. Phys. A-Math. Theor., 50:42 (2017), 424004  crossref  isi
    12. Kitanine N. Nepomechie R.I. Reshetikhin N., “Quantum Integrability and Quantum Groups: a Special Issue in Memory of Petr P Kulish”, J. Phys. A-Math. Theor., 51:11 (2018), 110201  crossref  isi
    13. Demontis F. Ortenzi G. Sommacal M., “Heisenberg Ferromagnetism as An Evolution of a Spherical Indicatrix: Localized Solutions and Elliptic Dispersionless Reduction”, Electron. J. Differ. Equ., 2018, 106  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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