Dear Student,
The characteristics of wave motion are:
1) The particles of the medium do not move from one place to another, they vibrate about their mean position.
2) The wave motion travels at the same speed in all directions.
3) The speed of a wave depends upon the medium it is traveling in and the physical properties of the medium.
4) During wave motion energy is transferred from one point of the medium to another and the is no transfer of matter through the medium.
Regards.