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Effects of individual linear damping on nonlinear instability

Published online by Cambridge University Press:  13 March 2009

Jan Weiland
Affiliation:
Institute of Electromagnetic Field Theory, Chalmers University of Technology, Gothenburg

Abstract

A computer investigation has been made for the problem of three coherent waves in a plasma system assuming a nonlinearly unstable situation and mutually different linear damping of the three interacting waves. The results agree satisfactorily with those of an analytic approach to the problem (Wilhelmsson 1970). In the present paper the solution near the explosion time has been further examined.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1972

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References

REFERENCES

Coppi, B., Rosenbluth, M. N. & Sudan, R. N. 1969 Ann. Phys. (N.Y.) 55, 207.CrossRefGoogle Scholar
Engelmann, F. & Wilhelmsson, H. 1969 Z. Naturforsch. A 24, 206.CrossRefGoogle Scholar
Harris, E. G. 1969 Classical Plasma Phenomena from a Quantum Mechanical Viewpoint. Advances in Plasma Physics vol. 3 (ed. Simon, A. and Tompson, W. B.). Interscience.Google Scholar
Jarmén, A., Stenflo, L., Wilhelmsson, H. & Engelmann, F. 1969 Phys. Lett. A 28, 748.CrossRefGoogle Scholar
Kadomtsev, B. B., Mikhailovskii, A. B. & Timofeev, A. V. 1965 Soviet Phys. JETP, 20, 1517.Google Scholar
Sagdeev, R. Z. & Galeev, A. A. 1964 Lectures on the Nonlinear Theory of Plasma, C/66/64. Trieste, Italy: International Centre for Theoretical Physics.Google Scholar
Stenflo, L. & Wilhelmsson, H. 1969 Phys. Lett. A 29, 217.CrossRefGoogle Scholar
Stenflo, L., Weiland, J. & Wilhelmsson, H. 1970 Physica Scripta, 1, 46.CrossRefGoogle Scholar
Stenflo, L., Wilhelmsson, H. & Östberg, K. 1971 Physica Scripta. 3, 231232.CrossRefGoogle Scholar
Sturrock, P. A. 1966 Physl Rev. Lett. 16, 270.CrossRefGoogle Scholar
Wilhelmsson, H., Stenflo, L. & Engelmann, F. 1970 J. Math. Phys. 11, 1738.CrossRefGoogle Scholar
Wilhelmsson, H. 1969 J. Plasma Phys. 3, 215.CrossRefGoogle Scholar
Wilhelmsson, H. 1970 Physica Scripta, 2, 113.CrossRefGoogle Scholar
Wilhelmsson, H. & Östberg, K. 1970 Proc. 4th. European Conf. Controlled Fusion and Plasma Phys., Rome, p. 176.Google Scholar