EXACT NONLINEAR-WAVE SOLUTIONS OF THE INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS IN A SHEARED MAGNETIC-FIELD

Exact wave solutions of the nonlinear magnetohydrodynamic equations for a highly conducting incompressible fluid are obtained for the cases where the physical quantities are independent of one Cartesian co-ordinate and for where they vary three-dimensionally but both the streamlines and magnetic field lines lie in parallel planes. It is shown that there is a class of exact wave solutions with large amplitude propagating in a straight but non-uniform magnetic field with constant or non-uniform velocity. © 1990, Cambridge University Press. All rights reserved.