Modulational stability of coupled non-linear helicon–acoustic waves in a piezoelectric semiconductor plasma

Abstract

In the present paper we investigate the behaviour and subsequent modulational instability or stability of coupled non-linear helicon–acoustic waves in a piezoelectric semiconductor plasma. We use the Krylov–Bogoluibov–Mitropolski technique of multiple scale analysis to arrive at the non-linear Schrodinger equation, which governs the behaviour ¨ of the above-mentioned waves. Physical parameters of InSb are used to investigate numerically whether the wave is modulationally stable or unstable