On the modulational instability of hydromagnetic waves parallel to the magnetic field

1976/12/01 by Einar Mjølhus, E. Mjølhus · 12 citations
Earth and Planetary Sciences · Physics and Astronomy · #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes #Nonlinear Waves and Solitons

paper · doi:10.1017/s0022377800020249

Abstract

The stability of circularly polarized waves of finite amplitude propagating parallel to the magnetic field is studied. A set of equations for slowly varying waves of arbitrary amplitude is obtained. A discussion of the stability of the waces is based on this set of equations. Earlier results are confirmed; in addition we find that finite amplitude always promotes stability. An amplitude dependent stability condition for long waves, previously obtained by the author, is confirmed.

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