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Analytic BGK modes and their modulational instability

Published online by Cambridge University Press:  13 March 2009

Hans Schamel
Hans Schamel
Affiliation:
Max-Planck-Institut für Physik und Astrophysik, Munich
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Extract

Physically acceptable solutions of the time-independent Vlasov–Poisson system are found by applying a method which is analogous to the soliton method in Korteweg–de Vries theory. Cnoidal wave solutions for small-amplitude Langmuir and ion acoustic waves are derived, in which the nonlinearity is determined by trapped electrons. The class of weakly distorted waves is shown to be modulational unstable.

Type
Articles
Information
Journal of Plasma Physics , Volume 13 , Issue 1 , February 1975 , pp. 139 - 145
Copyright
Copyright © Cambridge University Press 1975

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References

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