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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 1, Pages 129–141
(Mi tmf5566)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf5566 https://www.mathnet.ru/eng/tmf/v91/i1/p129
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