Modulation instability of circularly polarized Alfven waves

Details Modulation instability of circularly polarized Alfven waves Modulation instability of circularly polarized Alfven waves

Jun 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jgr....91.6816l&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 91, June 1, 1986, p. 6816-6824.

Physics

Geophysics

92

Circular Polarization, Geophysics, Magnetohydrodynamic Stability, Plasma Waves, Space Plasmas, Linear Systems, Modulation, Perturbation Theory, Two Fluid Models, Wave Dispersion, Wave Equations

Scientific paper

The stability of a finite amplitude circularly polarized Alfvén wave of wave number k0 is studied by using the two-fluid isentropic equations. Linear perturbation analysis, involving two sideband transverse waves having wave numbers k0±k and a longitudinal wave with wave number k, is used to find the exact sixth-order dispersion relation. The analysis is then limited to the case where k very low k0. The resulting fourth-order dispersion relation is examined analytically and numerically, and a surface is found that separates stable and unstable regions in parameter space. This surface describes the boundary between stable and unstable regions not only for k very low k0 but for the entire branch of the dispersion relation which extends to k = 0.

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