A CLASS OF EXACT-SOLUTIONS FOR A KINETIC-MODEL OF AN EQUILIBRIUM PLASMA

被引:0
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作者
MARKOV, YA
机构
关键词
D O I
10.1007/BF01019834
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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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页码:418 / 427
页数:10
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