Difference
Compression wave also longitudinal wave are wave whose vibration of particles is parallel to the wave motion. Water waves are transverse waves, such that the vibration of particles is perpendicular to the direction at which the wave is travelling.
Similarity
Both are mechanical wave such that they require a material medium for transmission; water wave require water as the material medium, while longitudinal waves such as sound require medium such air, string. Additionally, all these waves are oscillations that carry energy from one place to another.
