Three-wave coupling in a stratified MHD plasma

Nonlinear Processes in Geophysics

Volumn 5, Issue 2, 1998, Pages 105-110

  Axelsson, P ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLING; PLANETARY ATMOSPHERE; PLASMA;

EID: 0032450362     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-5-105-1998     Document Type: Article

References (33)

1. Axelsson, P., Larsson, J., and Stenflo, L., Nonlinear interaction between acoustic gravity waves, Ann. Geophysicae, 14, 304-308, 1996a
2. Axelsson, P., Larsson, J., and Stenflo, L., Nonlinear interaction between acoustic gravity waves in an rotating atmosphere, Nonlin. Proc. in Geophysics, 3, 216-220, 1996b
3. Axelsson, P., Dispersion relations for waves in anisotropic and stratified magnetoplasmas, Physica Scripta, 57, 242-245, 1998
4. Brodin, G. and Stenflo, L., Three-wave coupling coefficients for MHD plasmas, J. Plasma Phys., 39, 277-284, 1988
5. Brodin, G. and Stenflo, L., Three-wave coupling coefficients for magnetized plasmas with pressure anisotropy, J. Plasma Phys., 41, 199-208, 1989
6. Dong, B. and Yeh, K. C., Resonant and nonresonant wave-wave interactions in an isothermal atmosphere, J. Geophys. Res., 93, 3729-3744, 1988
7. Dong, B. and Yeh, K. C., On resonant interactions of atmospheric waves in a rotating Earth, Physica Scripta, 43, 534-544, 1991
8. Duhau, S. and Gratton, J., Kelvin-Helmholtz instability of anisotropic plasma in a magnetic field, J. Plasma Phys., 13, 451-479, 1975
9. Gryanik, V. M. and Dobritsyn, A. A., Localized vortices with finite cores in the equatorial atmosphere: structure and dynamics, Izv. Atmos. Ocean Phys., 26, 260-266, 1990
10. Hau, L.-N., Phan, T.-D., Sonnerup, B. U. Ö., and Paschmann, G., Double-polytropic closure in the magnetosheath, Geophys. Res. Lett., 20, 2255-2258, 1993
11. Larsson, J., A new Hamiltonian formulation for fluids and plasmas. part 2. MHD models, J. Plasma Phys., 55, 261-278, 1996
12. Larsson, J., The Hamiltonian adjoint equation and perturbation theory, Physica Scripta, 58, 97-101, 1998a
13. Larsson, J., Hamiltonian theory for waves and the resonant three-wave interaction process, Physica Scripta, T75, 173-175, 1998b
14. Lindgren, T., Wave coupling in nonuniform plasmas, Physica Scripta, 25, 568-572, 1982
15. Morrison, P. J. and Green, J. M., Noncanonical Hamiltonian density formulation of hydrodynamics and ideal magnetohydrodynamics, Phys. Rev. Lett., 45, 790-794, 1980
16. Morrison, P. J., Mathematical methods in hydrodynamics and integrability in dynamical systems, AIP conference proceedings, 1982
17. Morrison, P. J. and Pfirsch, D., Dielectric energy versus plasma energy, and Hamiltonian action-angle variables for the Vlasov equation, Phys. Fluids B, 4, 3038-3057, 1992
18. Morrison, P. J., Hamiltonian description of the ideal fluid. Rev. Mod. Phys., 70, 467-521, 1998
19. Olver, P. J., Applications of lie groups to differential equations, Springer-Verlag, 1993
20. Pavlenko, V. P. and Stenflo, L., The acoustic-gravity vortex turbulence spectrum, Europhys. Lett., 20, 693-695, 1992
21. Shukla, P. K. and Shaikh, A. A., Dust-acoustic gravity vortices in a nonuniform dusty atmosphere, Physica Scripta, T-75, In press, 1998
22. Shukla, P. K. and Stenflo, L., Comment on "two dimensional solitary kinetic Alfvén waves and dipole vortex structures" [Phys. Plasmas 4, 611 (1997)], Phys. Plasmas, 4, 3445-3446, 1997
23. Shukla, P. K. and Stenflo, L., Comment on "two dimensional solitary kinetic Alfvén waves and dipole vortex structures" [Phys. Plasmas 4, 611 (1997)], Phys. Plasmas, 4, 3445-3446, 1997
24. Stenflo, L., Nonlinear equations for acoustic gravity waves, Physica Scripta, 33, 156-158, 1986
25. Stenflo, L., A nonlinear equation for low-frequency acoustic gravity waves, Physica Scripta, 35, 488-489, 1987a
26. Stenflo, L., Acoustic solitary vortices, Phys. Fluids, 30, 3297-3299, 1987b
27. Stenflo, L., Resonant three-wave interactions in plasmas, Physica Scripta, T50, 15-19, 1994
28. Stepanyants, Y. A., Cylindrical eddies with a horizontal axis in the equatorial atmosphere, Izv. Atmos. Ocean. Phys., 25, 729-731, 1989
29. Stepanyants, Y. A., Cylindrical vortices in an unstably stratified fluid, Soviet Phys. Dokl., 36, 127-129, 1991
30. Thomas, J. H., Magneto-atmospheric waves, Ann. Rev. Fluid Mech., 15, 321-343, 1983
31. Yeh, K. C. and Liu, C. H., The instability of atmospheric gravity waves through wave-wave interactions, J. Geophys. Res., 86, 9722-9728, 1981
32. Zhou, C. T., Lai, C. H., and Yu, M. Y., Chaos, bifurcations and periodic orbits of the Lorenz-Stenflo system, Physica Scripta, 55, 394-402, 1997a
33. Zhou, C. T., Lai, C. H., and Yu, M. Y., Bifurcation behaviour of the generalized Lorenz equations at large rotation numbers, J. Math. Phys., 38, 5225-5239, 1997b