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Matematicheskoe modelirovanie, 2005, Volume 17, Number 2, Pages 103–108 (Mi mm159)  

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

Physical processes which are described by nonlinear Schrödinger equations

A. N. Volobuev

Samara State Medical University, Department of medical and biological physics
Full-text PDF (122 kB) Citations (1)
Abstract: The five nonlinear differential Schrodinger equations with the known solutions and various type of non-linearity are considered. Relations between velocity of the impulse and wave of the filling are founded. From this relations is shown, that equation with negative cube non-linearity it is not possible use for mod-eling physical phenomenon where velocity of the impulse is smaller velocity of the filling wave. For the four Schrodinger equations with the logarithmic non-linearity the solutions are presented as the solitary waves. At one equation the solitary wave is form kink. The graphs of some solutions are presented.
Received: 25.06.2004
Bibliographic databases:
Language: Russian
Citation: A. N. Volobuev, “Physical processes which are described by nonlinear Schrödinger equations”, Matem. Mod., 17:2 (2005), 103–108
Citation in format AMSBIB
\Bibitem{Vol05}
\by A.~N.~Volobuev
\paper Physical processes which are described by nonlinear Schr\"odinger equations
\jour Matem. Mod.
\yr 2005
\vol 17
\issue 2
\pages 103--108
\mathnet{http://mi.mathnet.ru/mm159}
\zmath{https://zbmath.org/?q=an:1076.35119}
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  • https://www.mathnet.ru/eng/mm159
  • https://www.mathnet.ru/eng/mm/v17/i2/p103
  • 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
    Математическое моделирование
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