What is a wave in physics and how does it propagate through different mediums?

In physics, a wave is a disturbance that travels through a medium, transferring energy without transferring matter. Waves can propagate through different mediums by causing particles in the medium to oscillate back and forth in the direction of the wave's movement. The type of medium can affect how the wave propagates, with factors like density and elasticity influencing the speed and behavior of the wave.