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Solitary waves in a cold plasma

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Abstract

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 norperturbed magnetic field and the wave propagation direction there exists a branch of solitary hydromagnetic waves that is a bifurcation of the zero wave number. These solutions lie on a two-dimensional center manifold.

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Authors and Affiliations

  1. Steklov Mathematics Institute, Russian Academy of Sciences, USSR

    A. T. Il'ichev

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  1. A. T. Il'ichev
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Translated fromMatematicheskie Zametki, Vol. 59, No. 5, pp. 719–728, May, 1996.

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Il'ichev, A.T. Solitary waves in a cold plasma. Math Notes 59, 518–524 (1996). https://doi.org/10.1007/BF02308819

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  • DOI: https://doi.org/10.1007/BF02308819

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