The stability of parallel-propagating circularly polarized Alfvén waves revisited

Journal of Plasma Physics

Volumn 70, Issue 2, 2004, Pages 143-153

  Ruderman, Michael S ^a   Simpson, David ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVES; APPROXIMATION THEORY; FUNCTIONS; LINEARIZATION; MAGNETOHYDRODYNAMICS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; PROTONS;

DISPERSION EQUATIONS; PUMP WAVES;

PLASMA STABILITY;

EID: 2142755296     PISSN: 00223778     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022377803002599     Document Type: Article

References (21)

1. Derby, N. F. J. 1978 Modulational instability of finite-amplitude circularly polarized Alfvén waves. Astrophys. J. 224, 1013-1016.
2. Galeev, A. A. and Oraevskii, V. N. 1963 The stability of Alfvén waves. Sov. Phys. Dokl. Engl. Transl. 7, 988-993.
3. Goldstein, M. L. 1978 An instability of finite-amplitude circularly polarized Alfvén waves. Astrophys. J. 219, 700-704.
4. ++. J. Geophys. Res. 98, 3491-3500.
5. Inhester, B. 1990 A drift-kinetic treatment of the parametric decay of large-amplitude Alfvén waves. J. Geophys. Res. 95, 10525-10539.
6. Jayanti, V. and Hollweg, J. V. 1993a On the dispersion relation for parametric instabilities of parallel-propagating Alfvén waves. J. Geophys. Res. 98, 13247-13252.
7. Jayanti, V. and Hollweg, J. V. 1993b Parametric instabilities of parallel-propagating Alfvén waves: some analytical results. J. Geophys. Res. 98, 19049-19063.
8. Ling, K. M. and Abraham-Shrauner, B. 1979 Parametric decay instability in high-speed solar wind streams. J. Geophys. Res. 84, 6713-6716.
9. Longtin, M. and Sonnerup, B. U. Ö. 1986 Modulational instability of circularly polarized Alfven waves. J. Geophys. Res. 91, 6816-6824.
10. Mio, J., Ogino, T., Minami, K. and Takeda, S. 1976a Modified non-linear Schrödinger equation for Alfvén waves propagating along the magnetic field in cold plasmas. J. Phys. Soc. Japan 41, 260-271.
11. Mio, J., Ogino, T., Minami, K. and Takeda, S. 1976b. Modulational instability and envelope solitons for non-linear Alfvén waves propagating along the magnetic field in plasmas. J. Phys. Soc. Japan 41, 667-673.
12. Mjølhus, E. 1976 On the modulational instability of hydrodynamic waves parallel to the magnetic field. J. Plasma. Phys. 16, 321-334.
13. Ovenden, C. R., Shah, H. A. and Schwartz, S. J. 1983 Alfvén solitons in the solar wind. J. Geophys. Res. 88, 6095-6101.
14. Sagdeev, R. Z. and Galeev, A. A. 1969 Non-linear Plasma Theory. New York: Benjamin.
15. Sakai, J. I. and Sonnerup, B. U. Ö. 1983 Modulational instability of finite-amplitude dispersive Alfvén waves. J. Geophys. Res. 88, 9069-9079.
16. Spangler, S. R. 1989 Kinetic effects of Alfvén wave non-linearity. I. Ponderomotive density fluctuations. Phys. Fluids, 8, 1738-1746.
17. Spangler, S. R. 1997 Nonlinear evolution of MHD waves at the Earth's bow shock: opinions on the confrontations between theory, simulations, and measurements. Nonlinear waves and Chaos in Space Plasmas (ed. T. Hada and H. Matsumoto). Tokyo: TERRAPUB, pp. 171-223.
18. Spangler, S. R. and Sheerin, J. P. 1982 Properties of Alfvén solitons in a finite beta plasma. J. Plasma Phys. 27, 193-198.
19. Spangler, S. R. and Sheerin, J. P. 1983 Alfvén wave collapse and the stability of a relativistic electron beam in a magnetized astrophysical plasma. Astrophys. J. 272, 273-278.
20. Vinas, A. F and Goldstein, M. L. 1991 Parametric instabilities of circularly polarized, large amplitude, dispersive Alfvén waves - excitation of obliquely-propagating daughter and side-band waves. J. Plasma. Phys. 46, 129-152.
21. Wong, H. K. and Goldstein, M. L. 1986 Parametric instabilities of circularly polarized Alfvén waves. J. Geophys. Res. 91, 5617-5628.