This article is cited in 1 paper

Propagation of nonlinear perturbations in a quasineutral collisionless plasma

A. K. Khe^ab, A. A. Chesnokov<sup>ab

a</sup> Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
^b Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: For the nonlinear kinetic equation describing the one-dimensional motion of a quasineutral collisionless plasma, perturbation velocities are determined and conditions of generalized hyperbolicity are formulated. Exact (in particular, periodical) solutions of the model are constructed and interpreted physically for the class of traveling waves. Differential conservation laws approximating the basic integrodifferential equation are proposed. These laws are used to perform numerical calculations of wave propagation, which show the possibility of turnover of the kinetic distribution function.

Keywords: quasineutral plasma, integrodifferential equations, hyperbolicity, nonlinear waves, conservation laws.

UDC: 533.951+517.948

Received: 02.09.2010

 English version: Journal of Applied Mechanics and Technical Physics, 2011, 52:5, 677–688

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