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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 5, Pages 3–16 (Mi pmtf1517)  
This article is cited in 1 scientific paper (total in 1 paper)

Propagation of nonlinear perturbations in a quasineutral collisionless plasma

A. K. Kheab, A. A. Chesnokovab

a Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (330 kB) Citations (1)
Abstract: For the nonlinear kinetic equation describing the one-dimensional motion of a quasineutral collisionless plasma, perturbation velocities are determined and conditions of generalized hyperbolicity are formulated. Exact (in particular, periodical) solutions of the model are constructed and interpreted physically for the class of traveling waves. Differential conservation laws approximating the basic integrodifferential equation are proposed. These laws are used to perform numerical calculations of wave propagation, which show the possibility of turnover of the kinetic distribution function.
Keywords: quasineutral plasma, integrodifferential equations, hyperbolicity, nonlinear waves, conservation laws.
Received: 02.09.2010
English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 5, Pages 677–688
DOI: https://doi.org/10.1134/S0021894411050014
Bibliographic databases:
Document Type: Article
UDC: 533.951+517.948
Language: Russian
Citation: A. K. Khe, A. A. Chesnokov, “Propagation of nonlinear perturbations in a quasineutral collisionless plasma”, Prikl. Mekh. Tekh. Fiz., 52:5 (2011), 3–16; J. Appl. Mech. Tech. Phys., 52:5 (2011), 677–688
Citation in format AMSBIB
\Bibitem{KheChe11}
\by A.~K.~Khe, A.~A.~Chesnokov
\paper Propagation of nonlinear perturbations in a quasineutral collisionless plasma
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 5
\pages 3--16
\mathnet{http://mi.mathnet.ru/pmtf1517}
\elib{https://elibrary.ru/item.asp?id=17255695}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 5
\pages 677--688
\crossref{https://doi.org/10.1134/S0021894411050014}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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