Geodesic
Solitary waves in a~cold plasma
Matematičeskie zametki, Tome 59 (1996) no. 5, pp. 719-728

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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. 
@article{MZM_1996_59_5_a7,
     author = {A. T. Il'ichev},
     title = {Solitary waves in a~cold plasma},
     journal = {Matemati\v{c}eskie zametki},
     pages = {719--728},
     publisher = {mathdoc},
     volume = {59},
     number = {5},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_5_a7/}
}
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A. T. Il'ichev. Solitary waves in a~cold plasma. Matematičeskie zametki, Tome 59 (1996) no. 5, pp. 719-728. http://geodesic.mathdoc.fr/item/MZM_1996_59_5_a7/