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Alfvén-wave propagation described by a nonlinear Landau-damping equation

Published online by Cambridge University Press:  31 January 2002

A. ELHANBALY
A. ELHANBALY
Affiliation:
Theoretical Physics Research Group, Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt Present address: College of Science, Al-Qassem Branch, King Saud University, PO Box 237, Burieda 81999, Kingdom of Saudi Arabia
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Abstract

General similarity solutions of temporal decay of a power spectrum of Alfvén waves in a magnetized plasma are classified in terms of Lie group parameters. One class of these solutions can be mapped to a solution of the Abel equation. A second class is transformed to a solitary-wave solution where the spectrum at short wavelengths is more rapidly damped than at long wavelengths.

Type
Research Article
Information
Journal of Plasma Physics , Volume 66 , Issue 1-2 , July 2001 , pp. 65 - 69
Copyright
2001 Cambridge University Press

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