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Ion-acoustic waves in a degenerate multicomponent magnetoplasma

Published online by Cambridge University Press:  04 September 2012

U. M. ABDELSALAM  and
M. M. SELIM
U. M. ABDELSALAM
Affiliation:
Department of Mathematics, Faculty of Science, Fayoum University, Egypt (usama.ahmad@rub.de)
M. M. SELIM
Affiliation:
Theoretical Physics Research Group, Physics Department, Faculty of Science (Damietta), Mansoura University, Egypt
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Abstract

The hydrodynamic equations of positive and negative ions, degenerate electrons, and the Poisson equation are used along with the reductive perturbation method to derive the three-dimensional Zakharov–Kuznetsov (ZK) equation. The G′/G-expansion method is used to obtain a new class of solutions for the ZK equation. At certain condition, these solutions can describe the solitary waves that propagate in our plasma. The effects of negative ion concentrations, the positive/negative ion cyclotron frequency, as well as positive-to-negative ion mass ratio on solitary pulses are examined. Finally, the present study might be helpful to understand the propagation of nonlinear ion-acoustic solitary waves in a dense plasma, such as in astrophysical objects.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 2 , April 2013 , pp. 163 - 168
Copyright
Copyright © Cambridge University Press 2012

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