Solar Physics

, Volume 186, Issue 1–2, pp 67–97 | Cite as

Resonant Absorption of Nonlinear Slow MHD Waves in Isotropic Steady Plasmas – II. Application: Resonant Acoustic Waves

  • Róbert Erdélyi
  • István Ballai
Article

Abstract

Nonlinear theory of driven magnetohydrodynamic (MHD) waves in the slow dissipative layer in isotropic steady plasmas developed by Ballai and Erdélyi (Solar Phys. 180 (1998)) is used to study the nonlinear interaction of sound waves with one-dimensional isotropic steady plasmas. An inhomogeneous magnetic slab with field-aligned plasma flow is sandwiched by a homogeneous static magnetic-free plasma and by a homogeneous steady magnetic plasma. Sound waves launched from the magnetic-free plasma propagate into the inhomogeneous region interacting with the localised slow dissipative layer and are partially reflected, dissipated or transmitted by this region. The nonlinearity parameter, introduced by Ballai and Erdélyi, is assumed to be small and a regular perturbation method is used to obtain analytical wave solutions. Analytical studies of resonant absorption of sound waves show that the efficiency of the process of resonant absorption strongly depends on both the equilibrium parameters and the characteristics of the resonant wave. We also find that a steady equilibrium shear flow can significantly influence the nonlinear resonant absorption in the limits of thin inhomogeneous layer and weak nonlinearity. The presence of an equilibrium flow may therefore be important for the nonlinear resonant MHD wave phenomena. A parametric analysis also shows that the nonlinear part of resonant absorption can be strongly enhanced by the equilibrium flow.

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Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Róbert Erdélyi
    • 1
  • István Ballai
    • 2
    • 3
  1. 1.Department of Applied MathematicsUniversity of Sheffield, The Hicks BuildingSheffieldEngland
  2. 2.Center for Plasma-Astrophysics, K.U. LeuvenHeverleeBelgium and
  3. 3.Department of AstronomyEötvös L. UniversityBudapestHungary

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