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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.

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

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References

REFERENCES

Bernstein, I. B., Greene, J. M. & Kruskal, M. D. 1957 Phys. Rev. 108, 546.CrossRefGoogle Scholar
Davidson, R. C. 1972 Methods in Nonlinear Plasma Theory. Academic.Google Scholar
Dewar, R. L., Kruer, W. L. & Manheimer, W. M. 1972 Phys. Rev. Lett. 28, 215.CrossRefGoogle Scholar
Jeffrey, A. & Kakutani, T. 1972 SIAM Review, 14, 582.CrossRefGoogle Scholar
Karpman, V. I. & Krushkal, E. M. 1969 Soviet Phys. JETP, 28, 277.Google Scholar
Lighthill, M. J. 1965 J. Inst. Math. Appl. 1, 269.CrossRefGoogle Scholar
Morales, G. J. & O'Neil, T. M. 1972 Phys. Rev. Lett. 28, 417.CrossRefGoogle Scholar
Ozawa, Y., Kaji, I. & Kito, M. 1964 Plasma Phys. 6, 227.Google Scholar
Sagdeev, R. Z. 1966 Rev. Plasma Phys. 4, 23.Google Scholar
Schamel, H. 1972 Plasma Phys. 14, 905.CrossRefGoogle Scholar
Schamel, H. 1973 MPI-PAE/Astro. 57.Google Scholar
Taniuti, T. & Yajima, N. 1969 J. Math. Phys. 10, 1369.CrossRefGoogle Scholar