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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 1, Pages 129–141 (Mi tmf5566)  
This article is cited in 1 scientific paper (total in 1 paper)

A class of exact solutions for a kinetic model of an equilibrium plasma

Yu. A. Markov

Irkutsk Computer Centre of USSR Academy of Sciences, Siberian Branch
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Abstract: The stationary Vlasov–Maxwell system is reduced to a “resolving” equation of sinh-Gordon type. It is shown that for fully ionized hydrogen and helium plasmas the resolving equation will have the form of the sinh-Gordon equation and Bullough–Dodd–Zhiber–Shabat equation (with elliptic operator), respectively. Hirota's method is used to obtain exact solutions for these equations. From these solutions, the characteristics of the system are recovered: the distribution functions and the self-consistent electromagnetic field.
Received: 22.07.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 91, Issue 1, Pages 418–427
DOI: https://doi.org/10.1007/BF01019834
Bibliographic databases:
Language: Russian
Citation: Yu. A. Markov, “A class of exact solutions for a kinetic model of an equilibrium plasma”, TMF, 91:1 (1992), 129–141; Theoret. and Math. Phys., 91:1 (1992), 418–427
Citation in format AMSBIB
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\by Yu.~A.~Markov
\paper A~class of exact solutions for a~kinetic model of an equilibrium plasma
\jour TMF
\yr 1992
\vol 91
\issue 1
\pages 129--141
\mathnet{http://mi.mathnet.ru/tmf5566}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182553}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 1
\pages 418--427
\crossref{https://doi.org/10.1007/BF01019834}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KF26500010}
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  • https://www.mathnet.ru/eng/tmf/v91/i1/p129
    • This publication is cited in the following 1 articles:
    1. Yu.A. Markov, M.A. Markova, “On some exact solutions of a quark plasma equilibrium in the abelian dominance approximation”, Reports on Mathematical Physics, 39:2 (1997), 185  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:400
    Full-text PDF :132
    References:97
    First page:1
     
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