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Solitary wave trains in a cold plasma. (English. Russian original) Zbl 0923.76356
Fluid Dyn. 31, No. 5, 754-761 (1996); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza. 1996, No. 5, 154-161 (1996).
Summary: The existence of traveling solitary waves, the products of modulation instability in a cold quasi-neutral plasma, is considered. Solitary waves of this type (“solitary wave trains”) are formed as a result of bifurcation from a nonzero wave number of the linear wave spectrum. It is shown that the complete system of equations describing the wave process in a cold plasma has solutions of the solidary wave train type, at least when the undisturbed magnetic field is perpendicular to the wave front. Sufficient conditions of existence of solitary wave trains in weakly dispersive media are also formulated.
MSC:
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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References:
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