Summary
The general problem of the dynamics and stability of nonlinear ionacoustic waves and solitons in magnetized plasmas is important in ionospheric and laboratory applications. Here the geometrical-optics approximation solution is presented in the form of a quartic inω/k. Some growth rate and phase diagrams are also presented. The external magnetic field is seen to play a dual role: it strongly destabilizes the waves, and it introduces resonances not unlike those of the Bernstein modes. A perpendicular perturbation analysis is seen to be much too restricted.
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Infeld, E., Frycz, P. & Czerwiśka-Lenkowska, T. Dynamics of nonlinear ion-acoustic waves in an external magnetic field. Lett. Nuovo Cimento 44, 537–543 (1985). https://doi.org/10.1007/BF02746756
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DOI: https://doi.org/10.1007/BF02746756