Nonlinear interaction of electromagnetic wave with electron acoustic wave in plasma

Abstract

An analysis on nonlinear interaction of electromagnetic wave with electron acoustic wave is performed in plasma with two different temperature electron fluid in presence of neutralizing static ion background. A newly structured Zakharov’s equations are derived employing two fluid two time scale theory. These coupled Zakharov’s equations describe the weakly nonlinear interaction of em wave perturbation with electron acoustic waves while propagating through plasma. In the low frequency or adiabatic limit, these Zakharov’s equations may be unified to produce a modified NLSE. A solution of the equation, novel in the literature, is derived following the method shown by Kudryashov. In resonant regime, the modified NLSE reduces to NLSE. Though, stable solution exists for both cases, instability analysis shows caviton instability may arise. The threshold value of electric field, at which instability sets in, is virtually zero for resonant region whereas, apart from that region there is a threshold value of electric field, determined by the frequency difference of em wave and electron plasma wave. Experimental observations support these results. This study is relevant
for laser-plasma interaction and astrophysical and space plasma.

Envelope solitary waves in two-negative ions with stationary dust grains

“…This figure shows that the relative density ratios have a significant effect on the stability of the envelope wave packet. According to the modulation stability analysis [26] or the caviton stability analysis [23,27], the wave packet will be stable in response to an external perturbation if PQ < 0. If PQ > 0 the wave packet will be unstable in response to an external perturbation.…”