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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 79, Number 3, Pages 334–346 (Mi tmf4882)  
This article is cited in 21 scientific papers (total in 21 papers)

Boundary-value problem for nonlinear Schrödinger equation

P. N. Bibikov, V. O. Tarasov
Full-text PDF (1136 kB) Citations (21)
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Abstract: The boundary value problem on the half-line for the nonlinear Schrödinger equation (NLS) and its generalization is studied by means of the inverse scattering transform method. Connection between conservation laws and boundary conditions for the integrable boundary values for higher NLS equations is established. It is shown that the generalized boundary value problem needs the consideration of both regular and singular solution of NLS equations in the repulsive case.
Received: 11.01.1988
English version:
Theoretical and Mathematical Physics, 1989, Volume 79, Issue 3, Pages 570–579
DOI: https://doi.org/10.1007/BF01016541
Bibliographic databases:
Language: Russian
Citation: P. N. Bibikov, V. O. Tarasov, “Boundary-value problem for nonlinear Schrödinger equation”, TMF, 79:3 (1989), 334–346; Theoret. and Math. Phys., 79:3 (1989), 570–579
Citation in format AMSBIB
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\by P.~N.~Bibikov, V.~O.~Tarasov
\paper Boundary-value problem for nonlinear Schr\"odinger equation
\jour TMF
\yr 1989
\vol 79
\issue 3
\pages 334--346
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1015279}
\zmath{https://zbmath.org/?q=an:0696.35169}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 79
\issue 3
\pages 570--579
\crossref{https://doi.org/10.1007/BF01016541}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989CJ64600002}
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  • https://www.mathnet.ru/eng/tmf/v79/i3/p334
    • This publication is cited in the following 21 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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    References:59
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