Stability of Large Amplitude Waves in the One-Dimensional Plasma

1 March 1960

journal article
research article
Published by AIP Publishing in Physics of Fluids

Vol. 3 (2) , 274-277
https://doi.org/10.1063/1.1706026

Abstract

The problem of the stability of the nonlinear plasma oscillations of Bernstein, Greene, and Kruskal is discussed. The eigenvalue equation for the perturbed distribution function possesses an expansion in powers of a parameter proportional to the maximum value of the equilibrium electrostatic potential. The stability of any given distribution can be inferred from consideration of the zeroth order alone.

Keywords

ELECTROSTATIC POTENTIAL
DISTRIBUTION FUNCTION
EIGENVALUES
DIFFERENTIAL EQUATION
OSCILLATIONS

This publication has 3 references indexed in Scilit:

On the theory of stationary waves in plasmas
Published by Elsevier ,2004
Plasma oscillations
Annals of Physics, 1959
Exact Nonlinear Plasma Oscillations
Physical Review B, 1957