Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2001, Volume 74, Issue 2, Pages 76–80 (Mi jetpl4159)  

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

NONLINEAR DYNAMICS

Asymptotic behavior of weakly collapsing solutions of the nonlinear Schrödinger equation

Yu. N. Ovchinnikovab, V. L. Vereshchaginc

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Max Planck Institute for the Physics of Complex Systems
c Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
Full-text PDF (223 kB) Citations (1)
Abstract: The generic asymptotic behavior of a three-parameter weakly collapsing solution of a nonlinear Schrödinger equation is examined. A discrete set of zero-energy states is shown to exist. In the $(\mathrm A, C_1)$ parameter space, there are two close lines along which the amplitude of oscillating terms is exponentially small in the parameter $C_1$.
Received: 21.06.2001
English version:
Journal of Experimental and Theoretical Physics Letters, 2001, Volume 74, Issue 2, Pages 72–76
DOI: https://doi.org/10.1134/1.1405887
Bibliographic databases:
Document Type: Article
PACS: 02.30.Jr, 03.65.Ge
Language: Russian
Citation: Yu. N. Ovchinnikov, V. L. Vereshchagin, “Asymptotic behavior of weakly collapsing solutions of the nonlinear Schrödinger equation”, Pis'ma v Zh. Èksper. Teoret. Fiz., 74:2 (2001), 76–80; JETP Letters, 74:2 (2001), 72–76
Citation in format AMSBIB
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\by Yu.~N.~Ovchinnikov, V.~L.~Vereshchagin
\paper Asymptotic behavior of weakly collapsing solutions of the nonlinear Schr\"odinger equation
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2001
\vol 74
\issue 2
\pages 76--80
\mathnet{http://mi.mathnet.ru/jetpl4159}
\transl
\jour JETP Letters
\yr 2001
\vol 74
\issue 2
\pages 72--76
\crossref{https://doi.org/10.1134/1.1405887}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0040748313}
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  • https://www.mathnet.ru/eng/jetpl/v74/i2/p76
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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