Nonlinearly coupled upper-hybrid and magnetoacoustic waves in collisional magnetoplasmas

P.K. Shukla, B. Eliasson, L. Stenflo

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The nonlinear interaction between large amplitude electrostatic upper-hybrid (UH) waves and magnetoacoustic perturbations in a collisional magnetoplasma is considered. For this purpose, we present a nonlinear Schrödinger equation for the UH wave envelope in the presence of the electron density, electron temperature, and compressional magnetic field perturbations of the dispersive magnetoacoustic waves, and derive an equation for the latter taking into account the combined influence of the UH ponderomotive force and the differential electron Joule heating in the UH wave electric field. The coupled equations are employed to investigate modulational instabilities of a constant amplitude UH wave, and the density profile modifications due to the UH ponderomotive and thermal forces. It is found that the thermal instability has its maximum at a wavelength half the one of the UH wave, and a numerical solution of the coupled time-dependent system of equations reveals that localized density cavities are also created with a spacing approximately half the wavelength of the pump wave.
LanguageEnglish
Article number067401
Number of pages4
JournalPhysical Review E
Volume68
Issue number6
DOIs
Publication statusPublished - 23 Dec 2003

Fingerprint

magnetoacoustic waves
ponderomotive forces
Electron
magnetoacoustics
perturbation
Wavelength
thermal instability
Joule Heating
Perturbation
Modulational Instability
Joule heating
Nonlinear Interaction
wavelengths
Density Profile
nonlinear equations
Nonlinear Schrödinger Equation
Electrostatics
envelopes
Envelope
Pump

Keywords

  • collisional magnetoplasma
  • upper hybrid waves
  • wavelength

Cite this

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title = "Nonlinearly coupled upper-hybrid and magnetoacoustic waves in collisional magnetoplasmas",
abstract = "The nonlinear interaction between large amplitude electrostatic upper-hybrid (UH) waves and magnetoacoustic perturbations in a collisional magnetoplasma is considered. For this purpose, we present a nonlinear Schr{\"o}dinger equation for the UH wave envelope in the presence of the electron density, electron temperature, and compressional magnetic field perturbations of the dispersive magnetoacoustic waves, and derive an equation for the latter taking into account the combined influence of the UH ponderomotive force and the differential electron Joule heating in the UH wave electric field. The coupled equations are employed to investigate modulational instabilities of a constant amplitude UH wave, and the density profile modifications due to the UH ponderomotive and thermal forces. It is found that the thermal instability has its maximum at a wavelength half the one of the UH wave, and a numerical solution of the coupled time-dependent system of equations reveals that localized density cavities are also created with a spacing approximately half the wavelength of the pump wave.",
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Nonlinearly coupled upper-hybrid and magnetoacoustic waves in collisional magnetoplasmas. / Shukla, P.K.; Eliasson, B.; Stenflo, L.

In: Physical Review E, Vol. 68, No. 6, 067401, 23.12.2003.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Nonlinearly coupled upper-hybrid and magnetoacoustic waves in collisional magnetoplasmas

AU - Shukla, P.K.

AU - Eliasson, B.

AU - Stenflo, L.

N1 - Copyright ©2003 American Physical Society. Shukla, P. K. and Eliasson, B. and Stenflo, L. (2003). Nonlinearly coupled upper-hybrid and magnetoacoustic waves in collisional magnetoplasmas., Phys. Rev. E., 68, 067401 http://link.aps.org/doi/10.1103/PhysRevE.68.067401

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Y1 - 2003/12/23

N2 - The nonlinear interaction between large amplitude electrostatic upper-hybrid (UH) waves and magnetoacoustic perturbations in a collisional magnetoplasma is considered. For this purpose, we present a nonlinear Schrödinger equation for the UH wave envelope in the presence of the electron density, electron temperature, and compressional magnetic field perturbations of the dispersive magnetoacoustic waves, and derive an equation for the latter taking into account the combined influence of the UH ponderomotive force and the differential electron Joule heating in the UH wave electric field. The coupled equations are employed to investigate modulational instabilities of a constant amplitude UH wave, and the density profile modifications due to the UH ponderomotive and thermal forces. It is found that the thermal instability has its maximum at a wavelength half the one of the UH wave, and a numerical solution of the coupled time-dependent system of equations reveals that localized density cavities are also created with a spacing approximately half the wavelength of the pump wave.

AB - The nonlinear interaction between large amplitude electrostatic upper-hybrid (UH) waves and magnetoacoustic perturbations in a collisional magnetoplasma is considered. For this purpose, we present a nonlinear Schrödinger equation for the UH wave envelope in the presence of the electron density, electron temperature, and compressional magnetic field perturbations of the dispersive magnetoacoustic waves, and derive an equation for the latter taking into account the combined influence of the UH ponderomotive force and the differential electron Joule heating in the UH wave electric field. The coupled equations are employed to investigate modulational instabilities of a constant amplitude UH wave, and the density profile modifications due to the UH ponderomotive and thermal forces. It is found that the thermal instability has its maximum at a wavelength half the one of the UH wave, and a numerical solution of the coupled time-dependent system of equations reveals that localized density cavities are also created with a spacing approximately half the wavelength of the pump wave.

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