Journal of Plasma Physics

Research Article

A modified Korteweg-de Vries equation for ion acoustic wavess due to resonant electrons

Hans Schamela1

a1 Max-Planck-Institut für Physik and Astrophysik, Munich

Abstract

The dependence of the asymptotic behaviour of small ion-acoustic waves on the number of resonant electrons is investigated by assuming an electron equation of state corresponding to the observed flat-topped electron distribution functions. The result is a modified Korteweg-de Vries equation with a stronger nonlinearity.

(Received October 05 1972)

(Revised February 01 1973)