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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 3, Pages 456–469 (Mi zvmmf8083)  
This article is cited in 13 scientific papers (total in 13 papers)

To the question of large-amplitude electron oscillations in a plasma slab

E. V. Chizhonkov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (591 kB) Citations (13)
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Abstract: A new approach is proposed for constructing and analyzing piecewise smooth exact solutions of the system of quasilinear hyperbolic equations that models the simplest electron oscillations in a plasma slab. A necessary and sufficient condition for their existence and uniqueness is established. An approximate numerical–analytical solution method is constructed for smooth initial data.
Key words: electron oscillations, plasma slab, axial solution, exact analytical solution, numerical-ana-lytical method, system of quasilinear hyperbolic equations.
Received: 09.08.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 3, Pages 423–434
DOI: https://doi.org/10.1134/S0965542511030055
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: E. V. Chizhonkov, “To the question of large-amplitude electron oscillations in a plasma slab”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011), 456–469; Comput. Math. Math. Phys., 51:3 (2011), 423–434
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:73
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