The Maximally-Efficient Generation Approach (MEGA) for an #x3B1;#x3C9;-dynamo is investigated based on the simplest model of the Parker Migratory Dynamo. The #x3B1;-effect is supposed inhomogeneous. The equations which govern the magnetic field are solved with the use of a WKB method. Turning points and the behavior of the solution in their vicinity are derived. The point of maximum dynamo wave amplitude is shown to be shifted from the point where the generation sources are maximum towards the direction of the dynamo wave propagation. For the solar dynamo the obtained direction of the dynamo wave propagation reverses over the subpolar domains. Dynamo waves with a poleward migration are observable over the polar regions of the Sun. The generation threshold is calculated. The properties of the dynamo waves are compared with observational data for the solar cycle. An asymptotic solution for oscillating modes of the galactic disk dynamo is also obtained.
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