Abstract
The nonlinear propagation of the Alfven and magnetosonic waves in the solar corona is investigated in terms of mode1 equations. Due to viscous ef- fects taken into account the propagation of the Alfven wave itself is governed by a Burgers-type equation. The Alfven waves exhibit a tendency to drive both the slow and fast magnetosonic waves. For this process model equations are a generalization of the Zakharov equations. The propagation of the mag- netosonic waves is described by linearized Boussinesq-type equations with ponderomotive terms due to the Alfven wave. Both long and short Alfven waves are considered. Also the limits of the slow and fast modes are investi- gated. An approximate shock wave solution has been found for a vertically propagating slow mode. Numerical results for the fast mode propagating perpendicular to the magnetic field show the effect of inhomogeneity and pumping on a shock as the solution of the homogeneous Burgers equation.
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