WAVES
wave is a disturbance that propagates (travels) through space and time, usually by transference of energy. A mechanical wave is a wave that propagates through a medium due to restoring forces produced upon its deformation. For example, sound waves propagate via air molecules bumping into their neighbors.

vibration can be defined as a back-and-forth motion around a reference value. However, a vibration is not necessarily a wave.
http://en.wikipedia.org/wiki/Wave