This article is cited in 2 papers

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

 English version: Theoretical and Mathematical Physics, 1992, 91:1, 418–427

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