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Matematicheskie Zametki, 1996, Volume 59, Issue 5, Pages 719–728
DOI: https://doi.org/10.4213/mzm1766 (Mi mzm1766) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Solitary waves in a cold plasma

A. T. Il'ichev

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (192 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm1766
Abstract: We study the existence of soliton-like solutions (solitary waves) to the equations describing the one-dimensional motion of a cold quasi-neutral plasma. It is shown that in some range of the angle between the norperturbed magnetic field and the wave propagation direction there exists a branch of solitary hydromagnetic waves that is a bifurcation of the zero wave number. These solutions lie on a two-dimensional center manifold.
Received: 17.05.1994
Revised: 10.06.1995
English version:
Mathematical Notes, 1996, Volume 59, Issue 5, Pages 518–524
DOI: https://doi.org/10.1007/BF02308819
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. T. Il'ichev, “Solitary waves in a cold plasma”, Mat. Zametki, 59:5 (1996), 719–728; Math. Notes, 59:5 (1996), 518–524
Citation in format AMSBIB
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\paper Solitary waves in a~cold plasma
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\jour Math. Notes
\yr 1996
\vol 59
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\pages 518--524
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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