Geodesic
A class of exact solutions for a kinetic model of an equilibrium plasma
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 129-141 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {A~class of exact solutions for a~kinetic model of an equilibrium plasma},
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}
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Yu. A. Markov. A class of exact solutions for a kinetic model of an equilibrium plasma. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 129-141. http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a9/

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