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Nonlinear coupling of three waves in non-uniform plasma

Published online by Cambridge University Press:  13 March 2009

G. C. Pramanik
G. C. Pramanik
Affiliation:
Vill. Jhokurkul, P. O. Jafully-Bibiehak, Via-Mechada, Dist. Midnapur, West Bengal, India
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Abstract

This paper considers nonlinear interaction between three monochromatic waves in a hot non-uniform electron plasma. With the aid of coupled mode theory the interaction of three longitudinal waves is studied and a specific case of the interaction of two longitudinal waves and one perpendicular wave is derived for the limiting case of long wavelength. Furthermore, the non-uniformity involves generalization of the theory of the interaction of two transverse waves and one longitudinal wave of a previous contribution.

Type
Research Article
Information
Journal of Plasma Physics , Volume 22 , Issue 2 , October 1979 , pp. 353 - 359
Copyright
Copyright © Cambridge University Press 1979

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References

REFERENCES

Altshul, L. & Karpman, V. 1965 Soviet Phys. JJTP, 20, 1043.Google Scholar
Bonnedal, M. & Wilhelmsson, H. 1974 J. Plasma Phys. 12, 81.CrossRefGoogle Scholar
Chakraborty, B. N. 1970 J. Math. Phys. 11, 2570.CrossRefGoogle Scholar
Chakraborty, B. N. 1971 J. Math. Phys. 12, 529.CrossRefGoogle Scholar
Chakraborty, B. N. 1973 Appl. Sci. Res. 28, 466.CrossRefGoogle Scholar
Davidson, R. C. 1968 Phys. Rev. 176, 344.CrossRefGoogle Scholar
Davidson, R. C. 1972 Methods in Nonlinear Plasma Theory. Academic.Google Scholar
Dougherty, J. P. 1970 J. Plasma Phys. 4, 761.CrossRefGoogle Scholar
Field, G. B. 1956 Astrophys. J. 124, 555.CrossRefGoogle Scholar
Galloway, J. & Kim, H. 1971 J. Plasnia Phys. 6, 53.CrossRefGoogle Scholar
Ginzburg, V. L. & Zueleznyakov, V. V. 1958 Soviet Astron. 2, 653.Google Scholar
Harris, E. G. 1969 Advances in Plasma Physics (ed. Simon, A. and Thompson, W. B.), vol. 3, p. 157. Interscienco.Google Scholar
Kaplan, S. A. & Tsytovich, V. N. 1969 Soviet Phys. Uspekhi, 12, 42.CrossRefGoogle Scholar
Kaufman, A. N. & Stenflo, L. 1975 Plasma Phys. 17, 403.CrossRefGoogle Scholar
Liu, C. S. 1976 Advances in Plasma Physics (ed. Simon, A. and Thompson, W. B.), vol. 6, p. 121. Interscience.Google Scholar
Liu, C.S., Rosenbluth, M. N. & White, R.B. 1974 Phys. Fluids, 17, 1211.CrossRefGoogle Scholar
Louisell, W. H. 1960 Coupled Mode and Parametric Electronics. Wiley.Google Scholar
Montgomery, D. 1965 Physica, 31, 693.CrossRefGoogle Scholar
Rosenbluth, M. N. 1972 Phys. Rev. Lett. 29, 565.CrossRefGoogle Scholar
Sagdeev, R. Z. & Galeev, A. A. 1969 Nonlinear Plasma Theory. Benjamin.Google Scholar
Schmidt, M. 1965 Galactic Structure (ed. Blaux, A. and Schmidt, M.). University of Chicago Press.Google Scholar
Selim, A. A. 1978 J. Plasma Phys. 19, 405.CrossRefGoogle Scholar
Sjolund, A. & Stenflo, L. 1967a J. Appl. Phys. 38, 2676.CrossRefGoogle Scholar
Sjolund, A. & Stenflo, L. 1967b Physica, 35, 499.CrossRefGoogle Scholar
Stenflo, L. 1970 Physica Scripta (Sweden), 2, 50.CrossRefGoogle Scholar
Tsytovich, V. N. 1970 Soviet Phys. Techn. Phys. 14, 1321.Google Scholar
White, R., Kaw, P., Pesme, D., Rosenbluth, M. N., Leval, G., Huff, R. & Verma, R. 1974 Nucl. Fusion, 14, 45.CrossRefGoogle Scholar
Wilhelmsson, H. 1969 J. Plasma Phys. 3, 215.CrossRefGoogle Scholar
Yip, W. K. 1970 Planet Space sci. 184, 473.Google Scholar
Zheleznyakov, V. N. 1964 Radio Emission of the Sun and Planets. Pergamon.Google Scholar