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Solitary waves in a cold plasma. (English. Russian original) Zbl 0879.76118
Math. Notes 59, No. 5, 518-524 (1996); translation from Mat. Zametki 59, No. 5, 719-728 (1996).
Summary: We study the existence of soliton-like solutions (solitary waves) to the equations describing the one-dimensional motion of a cold quasi-neutral plasma. It is shown that in some range of the angle between the nonperturbed magnetic field and the wave propagation direction there exists a branch of solitary hydromagnetic waves that can be interpreted as a bifurcation of the zero wave number. This solution lies on a two-dimensional center manifold.
MSC:
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
35Q51 Soliton equations
82D10 Statistical mechanics of plasmas
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