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Modelirovanie i Analiz Informatsionnykh Sistem, 2011, Volume 18, Number 3, Pages 58–62 (Mi mais186)  

This article is cited in 5 scientific papers (total in 5 papers)

Analysis of running waves stability in the Ginzburg–Landau equation with small diffusion

A. A. Kashchenko

P. G. Demidov Yaroslavl State University
Full-text PDF (427 kB) Citations (5)
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Abstract: We study the local dynamics of the Ginzburg–Landau equation with small diffusion in a neibourhood of running waves. We find necessary conditions of running waves instability and sufficient conditions of their stability.
Keywords: running wave, small parameter, Ginzburg–Landau equation.
Received: 01.09.2011
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. A. Kashchenko, “Analysis of running waves stability in the Ginzburg–Landau equation with small diffusion”, Model. Anal. Inform. Sist., 18:3 (2011), 58–62
Citation in format AMSBIB
\Bibitem{Kas11}
\by A.~A.~Kashchenko
\paper Analysis of running waves stability in the Ginzburg--Landau equation with small diffusion
\jour Model. Anal. Inform. Sist.
\yr 2011
\vol 18
\issue 3
\pages 58--62
\mathnet{http://mi.mathnet.ru/mais186}
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  • https://www.mathnet.ru/eng/mais/v18/i3/p58
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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