Wave is a disturbance or oscillation that travel through space and matter,transfering energy from one point to another without permanent displacement of the medium itself.

Am i correct?

Yes but this is a simple way to define it wave is a disturbance that transfers energy from one point to another through a medium with via average position of particles of medium remaining constant.for example take a stone and drop into a calmpond ripples are seen spreading on the surface of the water from the point source, the water does not move in the direction of the ripple.

He is right

Yes he is right