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Head-on collision of ion thermal waves in a magnetized pair-ion plasma containing charged dust impurities
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Obliquely propagating cnoidal waves in a magnetized dusty plasma with variable dust charge

Phys. Plasmas 16, 113703 (2009); doi:10.1063/1.3255593

Published 5 November 2009

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L. L. Yadav1 and V. K. Sayal2
1Kigali Institute of Education, P.O. Box 5039, Kigali, Rwanda
2Department of Physics, Sikkim Manipal Institute of Technology, Majhitar, Rangpo 737132, Sikkim, India
We have studied obliquely propagating dust-acoustic nonlinear periodic waves, namely, dust-acoustic cnoidal waves, in a magnetized dusty plasma consisting of electrons, ions, and dust grains with variable dust charge. Using reductive perturbation method and appropriate boundary conditions for nonlinear periodic waves, we have derived Korteweg–de Vries (KdV) equation for the plasma. It is found that the contribution to the dispersion due to the deviation from plasma approximation is dominant for small angles of obliqueness, while for large angles of obliqueness, the dispersion due to magnetic force becomes important. The cnoidal wave solution of the KdV equation is obtained. It is found that the frequency of the cnoidal wave depends on its amplitude. The effects of the magnetic field, the angle of obliqueness, the density of electrons, the dust-charge variation and the ion-temperature on the characteristics of the dust-acoustic cnoidal wave are also discussed. It is found that in the limiting case the cnoidal wave solution reduces to dust-acoustic soliton solution. ©2009 American Institute of Physics
History: Received 23 March 2009; accepted 6 October 2009; published 5 November 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/113703/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.27.Lw
    Dusty or complex plasmas; plasma crystals
  • 52.35.Fp
    Plasma electrostatic waves and oscillations
  • 52.35.Dm
    Plasma sound waves
  • 52.35.Mw
    Nonlinear phenomena: plasma waves, wave propagation and other interactions
  • YEAR: 2009

PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
Publisher:
AIP is a member of CrossRef AIP

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