Journal of Plasma Physics

Research Article

Ion-acoustic solitary waves in a weakly relativistic warm plasma at the critical phase velocity

S. K. El-Labanya1, H. O. Nafiea2 and A. El-Sheikha1

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

a2 Physics Department, Faculty of Science, Zagazig University, Benha, Egypt

Abstract

Ion-acoustic solitary waves in a weakly relativistic warm plasma at the critical phase velocity are investigated using reductive perturbation theory. The basic set of fluid equations describing the system is reduced to a renormalized warmion modified Korteweg—de Vries (mKdV) equation for the first-order perturbed potential and a renormalized linear inhomogeneous equation for the second-order perturbed potential. The stationary solution of the coupled equations is obtained. The cold-plasma limit is considered in order to rule comparisons with work of Pakira et al.

(Received April 10 1995)