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Evolution of nonlinear Alfvén waves propagating along the magnetic field in a collisionless plasma

Published online by Cambridge University Press:  13 March 2009

M. Khanna  and
R. Rajaram
M. Khanna
Affiliation:
Indian Institute of Geomagnetism, Colaba, Bombay 400 005, India
R. Rajaram
Affiliation:
Indian Institute of Geomagnetism, Colaba, Bombay 400 005, India
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Abstract

It is shown that the asymptotic evolution of a finite-amplitude Alfvén wave propagating parallel to the uniform magnetic field in a warm homogeneous collisionless plasma is governed by the modified nonlinear Schrödinger equation. The dispersion is provided by the ion finite Larmor radius (FLR) effects in the momentum equation and the Hall current and electron pressure corrections to the generalized Ohm's law. In the cold plasma limit the equations reduce to those available in the literature. It is suggested that these calculations can have a bearing on the investigation of the structure of MHD waves in the solar wind.

Type
Research Article
Information
Journal of Plasma Physics , Volume 28 , Issue 3 , December 1982 , pp. 459 - 468
Copyright
Copyright © Cambridge University Press 1982

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References

REFERENCES

Abraham-Shrauner, B. 1967 J. Plasma Phys. 1, 361.CrossRefGoogle Scholar
Barnes, A. & Hollweg, J. V. 1974 J. Geophys. Res. 79, 2302.CrossRefGoogle Scholar
Chhajlani, R. K. & Bhand, S. C. 1980 J. Plasma Phys. 23, 205.CrossRefGoogle Scholar
Chew, G. F., Goldberger, M. L. & Low, F. E. 1956 Proc. Roy. Soc. A 236, 112.Google Scholar
Goldstein, M. L., Klimas, A. J. & Barish, F. D. 1974 Solar Wind Three (ed. C. T. Russel), p. 385.Google Scholar
Kalra, G. L., Rajaram, R. & Tandon, J. N. 1972 Aatrophys. Space Sci. 17, 87.CrossRefGoogle Scholar
Kaup, D. J. & Newell, A. C. 1978 J. Math. Phys. 19, 798.CrossRefGoogle Scholar
Kawahara, T. 1973 Seminar Notes from RIMS of Kyoto University, No. 187.Google Scholar
Lichtenstein, B. R. & Sonett, C. P. 1980 Geophys. Res. Lett. 7, 189.CrossRefGoogle Scholar
Mio, K., Ogino, T., Minami, K. & Takeda, S. 1976 J. Phys. Soc. Japan, 41, 265.CrossRefGoogle Scholar
Mjølhus, E. 1976 J. Plasma Phys. 16, 321.CrossRefGoogle Scholar
Mjølhus, E. 1978 J. Plasma Phys. 19, 437.CrossRefGoogle Scholar
Shkarofsky, I. P., Johnston, T. W. & Bachynski, M. P. 1966 The Particle Kinetics of Plasmas, p. 471. Addison-Wesley.Google Scholar
Thompson, W. B. 1961 Rep. Prog. Phys. 24, 363.CrossRefGoogle Scholar
Yajima, N. 1966 Prog. Theor. Phys. 36, 1.CrossRefGoogle Scholar