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Zapiski Nauchnykh Seminarov LOMI, 1988, Volume 169, Pages 151–165 (Mi znsl5606)  

This article is cited in 1 scientific paper (total in 1 paper)

The boundary value problem for the nonlinear Schrödinger equation

V. O. Tarasov
Full-text PDF (602 kB) Citations (1)
Abstract: A boundary value problem on the half-line for the nonlinear Schrödinger equation (NLS) and its generalisation is studied by the inverse scattering transform method. The connection between conservation laws and boundary conditions for integrable boundary value problems for higher NLS equations is established. It's shown that the generalized boundary value problem requires a joint analysis of regular and singular solutions for the NLS equations in the repulsive case.
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. O. Tarasov, “The boundary value problem for the nonlinear Schrödinger equation”, Questions of quantum field theory and statistical physics. Part 8, Zap. Nauchn. Sem. LOMI, 169, "Nauka", Leningrad. Otdel., Leningrad, 1988, 151–165
Citation in format AMSBIB
\Bibitem{Tar88}
\by V.~O.~Tarasov
\paper The boundary value problem for the nonlinear Schr\"odinger equation
\inbook Questions of quantum field theory and statistical physics. Part~8
\serial Zap. Nauchn. Sem. LOMI
\yr 1988
\vol 169
\pages 151--165
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5606}
\zmath{https://zbmath.org/?q=an:0693.35143}
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  • https://www.mathnet.ru/eng/znsl5606
  • https://www.mathnet.ru/eng/znsl/v169/p151
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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    Abstract page:131
    Full-text PDF :59
     
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