Parametric instabilities and wave coupling in Alfvén simple waves

G. M. Webb; A. R. Zakharian; M. Brio; G. P. Zank

doi:10.1017/S0022377801001283

Parametric instabilities and wave coupling in Alfvén simple waves

G. M. Webb, A. R. Zakharian, M. Brio, G. P. Zank

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5 Scopus citations

Abstract

The parametric instabilities in the large-amplitude Alfv́en wave (pump waves) were studied. The study was based on the formulation of a wave coupling for magnetohydrodynamic (MHD) waves in a non-uniform background flow. The small-amplitude MHD waves interact with the pump wave via wave coupling coefficients that were dependent on the gradient and time dependence of the background flow. The dispersion equations for different short- and long-wavelength eigenmodes, based on initial value problem, were utilized in discussing the wave stability phenomenon.

Original language	English (US)
Pages (from-to)	167-212
Number of pages	46
Journal	Journal of Plasma Physics
Volume	66
Issue number	3
DOIs	https://doi.org/10.1017/S0022377801001283
State	Published - Sep 2001

ASJC Scopus subject areas

Condensed Matter Physics

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10.1017/S0022377801001283

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title = "Parametric instabilities and wave coupling in Alfv{\'e}n simple waves",

abstract = "The parametric instabilities in the large-amplitude Alf{\'v}en wave (pump waves) were studied. The study was based on the formulation of a wave coupling for magnetohydrodynamic (MHD) waves in a non-uniform background flow. The small-amplitude MHD waves interact with the pump wave via wave coupling coefficients that were dependent on the gradient and time dependence of the background flow. The dispersion equations for different short- and long-wavelength eigenmodes, based on initial value problem, were utilized in discussing the wave stability phenomenon.",

author = "Webb, {G. M.} and Zakharian, {A. R.} and M. Brio and Zank, {G. P.}",

year = "2001",

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language = "English (US)",

volume = "66",

pages = "167--212",

journal = "Journal of Plasma Physics",

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T1 - Parametric instabilities and wave coupling in Alfvén simple waves

AU - Webb, G. M.

AU - Zakharian, A. R.

AU - Brio, M.

AU - Zank, G. P.

PY - 2001/9

Y1 - 2001/9

N2 - The parametric instabilities in the large-amplitude Alfv́en wave (pump waves) were studied. The study was based on the formulation of a wave coupling for magnetohydrodynamic (MHD) waves in a non-uniform background flow. The small-amplitude MHD waves interact with the pump wave via wave coupling coefficients that were dependent on the gradient and time dependence of the background flow. The dispersion equations for different short- and long-wavelength eigenmodes, based on initial value problem, were utilized in discussing the wave stability phenomenon.

AB - The parametric instabilities in the large-amplitude Alfv́en wave (pump waves) were studied. The study was based on the formulation of a wave coupling for magnetohydrodynamic (MHD) waves in a non-uniform background flow. The small-amplitude MHD waves interact with the pump wave via wave coupling coefficients that were dependent on the gradient and time dependence of the background flow. The dispersion equations for different short- and long-wavelength eigenmodes, based on initial value problem, were utilized in discussing the wave stability phenomenon.

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SP - 167

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JO - Journal of Plasma Physics

JF - Journal of Plasma Physics

IS - 3

ER -

Parametric instabilities and wave coupling in Alfvén simple waves

Abstract

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