Water Pulse
A wave is a propagating disturbance with a fixed shape and a constant velocity. As a wave enters a medium, the leading end of the waveform behaves as an impulse. This impulse is the transition from the previous state, such as at rest, to some propagation of energy through the medium. If the waveform is driven, there will eventually be a steady waveform. If the waveform is not driven, the energy will travel in the form of a wave through the medium, eventually dissipating due to resistive forces.
An undriven wave in a pool of water will rapidly decrease in amplitude due to the conservation of energy—as the impulse travels radially outward, there is more water to displace; thus, with a constant energy, the displacement must decrease.