What is SHOCK waves , BOW waves nad MACH number? Elaborate.

The sound wave is heard as the familiar "thud" or "thump" of a sonic boom, commonly created by the supersonic flight of aircraft. The shock wave is one of several different ways in which a gas in a supersonic flow can be compressed.
A bow wave is the wave that forms at the bow of a ship when it moves through the water. As the bow wavespreads out, it defines the outer limits of a ship's wake. A large bow wave slows the ship down, is a risk to smaller boats, and in a harbor can damage shore facilities and moored ships.
The Mach Number is a dimensionless value useful for analyzing fluid flow dynamics problems where compressibility is a significant factor. The Mach Number can be expressed as. M = v / c