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Nonlinear wave interactions in a collisionless space and time dependent warm fluid plasma

Published online by Cambridge University Press:  13 March 2009

Jonas Larsson
Affiliation:
Department of Plasma Physics, Umeå University, 90187 Umeå, Sweden

Abstract

Expressions for the current response operators of first and second order are calculated for a fluid plasma with isotropic pressure terms. The unperturbed state is an arbitrary space and time dependent solution of the basic equations. The response operators are given in a form which shows explicitly the mathematical structure behind the approximate conservation of wave energy in resonant wave interactions. The coefficients in the coupled mode equations are expressed in terms of these response operators.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1982

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References

REFERENCES

Aers, G. C., Boardman, A. D. & Issac, E. D. 1977 IEEE Trans Plasma Science, PS-5, 123.CrossRefGoogle Scholar
Arnold, V. I. 1978 Mathematical Methods of Classical Mechanics. Springer.CrossRefGoogle Scholar
Barr, H. C. & Boyd, T. J. M. 1972 J. Phys. A, 5, 1108.CrossRefGoogle Scholar
Giles, M. J. 1974 Plasma Phys. 16, 99.CrossRefGoogle Scholar
Johnston, S. & Kaufman, A. N. 1979 J. Plasma Phys. 22, 105.CrossRefGoogle Scholar
Kaufman, A. N. & Stenflo, L. 1979 Physica Scripta, 19, 523.CrossRefGoogle Scholar
Larsson, J. 1979 J. Math. Phys. 20, 1321.CrossRefGoogle Scholar
Larsson, J. 1982 a J. Math. Phys. 23, 176.CrossRefGoogle Scholar
Larsson, J. 1982 b J. Math. Phys. 23, 183.CrossRefGoogle Scholar
Larsson, J. & Stenflo, L. 1973 Beitr. Plasmaphysik, 13, 169.CrossRefGoogle Scholar
Lindgren, T., Larsson, J. & Stenflo, L. 1981 J. Plasma Phys. 26, 407.CrossRefGoogle Scholar
Lindgren, T., Larsson, J. & Stenflo, L. 1982 Plasma Phys. (In press.)Google Scholar
Pustovalov, V. V. & Silin, V. P. 1975 Proceedings of the Lebedev Physics Institute, 61, 37.Google Scholar
Shivarova, A. & Zhelyazkov, I. 1978 Plasma Phys. 20, 1049.CrossRefGoogle Scholar
Sitenko, A. G. & Pavlenko, V. N. 1978 Soviet Phys. JETP, 47, 65.Google Scholar
Sjölund, A. & Stenflo, L. 1967 Physica, 35, 499.CrossRefGoogle Scholar
Watson, D. C. & Bers, A. 1975 Quarterly Progress Report No. 115, M.I.T., p. 172.Google Scholar
Weiland, J. & Wilhelmsson, H. 1977 Coherent Non-Linear Interaction of Waves in Plasmas. Pergamon.Google Scholar