Continuous mechanical waves are typically described as oscillatory waves. In this context, "oscillate" refers to the repetitive back-and-forth motion of particles in a medium, producing wave patterns that propagate through that medium.
In contrast, a "pulse" is a single, non-repetitive disturbance that travels through a medium, rather than a continuous oscillation.
So, in summary, continuous mechanical waves oscillate. Examples include sound waves in air or water waves on the surface of the ocean.