Coupled nonlinear helicon-acoustic waves in a semiconductor piezoelectric plasma - via a new type of KdV equation

Shah, Haseeb; Ikram, Nadia; Abdullah, Tariq

doi:10.1016/0375-9601(91)90856-4

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1996

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“…Ghosh and Khan (1986) have studied the excitation of acoustic-helicon waves and the subsequent parametric amplification of acoustic waves in piezoelectric semiconducting crystals under the influence of an external magnetic field. Shah et al (1991) have investigated the non-linear behaviour of coupled helicon-acoustic waves in a piezoelectric semiconductor plasma via a Korteveg deVries (KdV) type of equation. In later work, Shah et al (1993) studied the propagation of non-linear helicon waves in a layered structure.…”

Section: Introductionmentioning

confidence: 99%

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

Anwar¹,

Shah²,

Ali³

1996

J. Phys.: Condens. Matter

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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 multiplescale analysis to arrive at the non-linear Schrödinger 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.

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Section: Introductionmentioning

confidence: 99%