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On a family of exact nonlinear waves in plasmas

Published online by Cambridge University Press:  13 March 2009

Shyke Goldstein
Affiliation:
Department of Physics and Astronomy, Tel-Aviv University
Yehuda Salu
Affiliation:
Department of Physics and Astronomy, Tel-Aviv University

Abstract

We describe a family of exact nonlinear solutions of Vlasov's equations; the linear counterpart being circularly waves. An exact solution for a sub-group of initial conditions is given. The plasmas treated are multi-species, infinite and homogeneous, embedded in a uniform magnetic field.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1973

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References

REFERENCES

Hasegawa, A. & Okuda, H. 1968 Phys. Fluids, 11, 1995Google Scholar
Montgomery, D. & Tidman, D. A. 1964 Plasma Kinetic Theory. McGraw-Hill.Google Scholar
Salu, Y. 1972 J. Plasma Phys. 7, 255.CrossRefGoogle Scholar