ISSN:
1573-9333
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01019834
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