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Alfvén-wave propagation described by a nonlinear Landau-damping equation
Published online by Cambridge University Press: 31 January 2002
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.
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- 2001 Cambridge University Press