How is wind formed?
So first I'll just quickly explain how wind is formed
Wind is caused by difference in atmospheric pressure.
Atmospheric pressure is a measurement that is given for the amount that air is pressing down on the Earth's surface.
There are differences in atmospheric pressure because the particles in liquids and gases can move around, they move from areas of higher level particle density to areas of lower level particle density.
As gases heat they become less dense and therefore rise above the denser gasses, this essentially this is what changes the atmospheric pressure and forms wind.
How far can wind travel?
Air will always move from areas of high and low pressure to negate the differences in atmospheric pressure and this will go on until pressure has balanced. So wind will travel as far as it needs to before this happens.
Some winds blow across huge distances, take the Trade Winds that are caused by a combination of the differences in atmospheric pressure between the poles and the equator and the Coriolis effect. The Trades are a almost constant winds that blow across the globe.
Would I say wind is a wave?
Wind is not a wave it is just air moving to areas of low pressure. But moving air can cause waves in the air much like the water in the oceans is not always moving in waves.