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Solitary wave instability in a cold plasma. (English) Zbl 0944.76021
Maiellaro, Michele (ed.) et al., The proceedings of the 9th international conference on Waves and stability in continuous media, Bari, Italy, October 6-11, 1997. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 57, 33-38 (1998).
Summary: The numerical investigation of evolution of localized disturbances in the form of solitary waves is performed for the full system of equations describing planar waves in a cold collisionless quasi-neutral plasma. It is shown that for the wide range of angles of inclination of magnetic field to the direction of wave propagation, such kind of initial disturbance never produces a wave propagating steadily, but decays due to radiation of periodic waves. These results confirm the theoretical conclusion about the nonexistence of solitary waves in a cold plasma for the range of angles of inclination in question.
For the entire collection see [Zbl 0912.00027].

76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76X05 Ionized gas flow in electromagnetic fields; plasmic flow