Journal of Plasma Physics

Research Article

Contribution of higher-order nonlinearity to nonlinear ion-acoustic waves in a weakly relativistic warm plasma. Part 1. Isothermal case

S. K. El-Labanya1 p1

a1 Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt

Abstract

The contribution of higher-order nonlinearity to nonlinear ion-acoustic waves in a weakly relativistic plasma consisting of warm ion-fluid and hot isothermal electrons is investigated using reductive perturbation theory. A Korteweg-de Vries-type equation, with temperature- and relativistic-parameter-dependent coefficients is obtained. The renormalization method is applied to the equations obtained from the different orders of perturbation theory to obtain a stationary solution. Relativistic cold and non-relativistic warm plasma limits are considered in order to make comparisons with previous results.

(Received May 19 1992)

(Revised April 23 1993)

Correspondence:

p1 Present address: Teacher Training College, Alqunfudah 21912, P.O. Box 21, Saudi Arabia.