Abstract
The MHD analog of vortex filaments in ordinary hydrodynamics is shown to be vortex-current filaments with circulation of both velocity and magnetic field around them, like in the Alfven waves, polarized circularly. So they can be treated as singular Alfven waves. The evolutionary equations of such filaments are derived from ideal MHD equations. The filaments interact if their cross-helicities have opposite sign.
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© 1993 Springer-Verlag Berlin Heidelberg
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Petviashvili, V.I. (1993). Dynamics of Vortex-Current Filaments in MHD Plasma. In: Fokas, A.S., Kaup, D.J., Newell, A.C., Zakharov, V.E. (eds) Nonlinear Processes in Physics. Springer Series in Nonlinear Dynamics . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77769-1_58
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DOI: https://doi.org/10.1007/978-3-642-77769-1_58
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