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  • Cited by 5
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Ruderman, M. S. and Terradas, J. 2015. Standing kink oscillations of thin twisted magnetic tubes with continuous equilibrium magnetic field. Astronomy & Astrophysics, Vol. 580, p. A57.

    Ruderman, M. S. 2015. Propagating kink waves in thin twisted magnetic tubes with continuous equilibrium magnetic field. Astronomy & Astrophysics, Vol. 575, p. A130.

    Ballai, Istvan and Ruderman, Michael S. 2011. Nonlinear Effects in Resonant Layers in Solar and Space Plasmas. Space Science Reviews, Vol. 158, Issue. 2-4, p. 421.

    Ruderman, M. S. 2007. Nonaxisymmetric Oscillations of Thin Twisted Magnetic Tubes. Solar Physics, Vol. 246, Issue. 1, p. 119.

    Ruderman, M. S 2006. Nonlinear waves in the solar atmosphere. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 364, Issue. 1839, p. 485.


Nonlinear theory of resonant slow MHD waves in twisted magnetic flux tubes

  • I. BALLAI (a1) and R. ERDÉLYI (a2)
  • DOI:
  • Published online: 01 June 2002

The nonlinear dynamics of resonant slow MHD waves in weakly dissipative plasmas is investigated in cylindrical geometry with a twisted equilibrium magnetic field. Linear theory has shown that the wave motion is governed by conservation laws and jump conditions across the resonant surface considered as a singularity – first derived in linear ideal MHD theory by Sakurai, Goossens and Hollweg [Solar Phys.133, 227 (1991)]. By means of the simplified method of matched asymptotic expansions, we obtain the generalized connection formulae for the variables across the dissipative layer, and we derive a non-homogeneous nonlinear partial differential equation for the wave dynamics in the dissipative layer.

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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
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