Alfvén ‘resonance’ reconsidered: Exact equations for wave propagation across a cold inhomogeneous plasma
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چکیده
منابع مشابه
ARTICLES Alfvbn ‘resonance’ reconsidered: Exact equations for wave propagation across a cold inhomogeneous plasma
Previous discussions of Alfvdn wave propagation across an inhomogeneous plasma predicted that shear Alfvin waves become singular (resonant) at the w = kzuA layer and that there is a strong wave absorption at this layer giving localized ion heating. In this paper the three standard derivations of the Alfvdn ‘resonance’ (incompressible magnetohydrodynamics, compressible magnetohydrodynamics, and ...
متن کاملResponse to Comments on “Alfvk ‘resonance’ reconsidered: Exact equations for wave propagation across a cold inhomogeneous plasma”
We agree with both Goedbloed and Lifschitz (whom we will refer to as GL) and Ruderman, Goossens and Zhelyazkov (RGZ) that the apparent violation of quasi-neutrality in Ref. 1 is not a true problem and rescind this particular argument against MHD. However, the rest of the discussion in our paper is independent of this argument regarding quasi-neutrality, and as discussed below, the conclusions i...
متن کاملNonlinear Wave Propagation Through Cold Plasma
An exciting and extremely active area of research investigation during the past years has been the study of solitons and the related issue of the construction of solutions to a wide class of nonlinear equations. The concept of solitons has now become umbiquitous in modern nonlinear science and indeed can be found in various branches of physics. In nonlinear wave propagation through continuous m...
متن کاملExact solutions for wave-like equations by differential transform method
Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Some examples are prepared to show theefficiency and simplicity of th...
متن کاملA bidirectional wave transformation of the cold plasma equations
The bidirectional wave transformation developed for scalar equations is shown to have interesting extensions for first-order hyperbolic systems. Assuming a localized waveform of the solution gives an equation for the envelope of the localized wave. The type of the envelope equation depends on the characteristics of the original hyperbolic equations, and the speed of the localized wave. This met...
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ژورنال
عنوان ژورنال: Physics of Plasmas
سال: 1994
ISSN: 1070-664X,1089-7674
DOI: 10.1063/1.870888