Nonlinear resonant wave dynamics in the solar atmopshere

The nonlinear analogue of the connection formulae for slow MHD waves are derived. This nonlinear theory of driven MHD waves is then used to study the interaction of sound waves with one-dimensional isotropic steady plasmas modelling, e.g., the wave interaction in the magnetic canopy.

We 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 the nonlinear part of resonant absorption can be strongly enhanced by the equilibrium flow.

For preprints contact: Robertus@sheffield.ac.uk