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Bernstein–Greene–Kruskal solitary waves in three-dimensional magnetized plasma

Bernstein–Greene–Kruskal solitary waves in three-dimensional magnetized plasma

We study the width-amplitude relation for three-dimensional Bernstein-Greene-Kruskal (BGK) electrostatic solitary waves in magnetized plasmas, taking into account the dynamics of both electrons and ions. We obtain two coupled inequalities that constrain the amplitude and the widths parallel and perpendicular to the magnetic field for a Gaussian potential, and demonstrate …