GENERATION OF WAVES BY A MOVING OSCILLATORY SOURCE IN MAGNETOHYDRODYNAMICS

The two-dimensional linear gravity waves created by a moving oscillato ry source in an incompressible, inviscid, electrically conducting flui d of infinite depth where a constant magnetic field acts outside the a ir-water interface are considered. To determine the unsteady asymptoti c waves, Bleistein's method had been applied to the Fourier transform solution. Several physically interesting results about the four waves generated, together with their fronts, are found and also the effect o f magnetic force on the gravity waves has been studied.