What is definition of waves

Question

What is the definition of waves

Answer 1

I would say a wave w is a pattern that oscillates between extreme values repetitively as a function of space x and/or time t, and is characterized by amplitude A, phase φ, and frequency f (or multiple of these). Mathematically, a single wave is expressed as w = A cos(2π f (x/c – t) – φ) where the wavespeed c is often a constant depending on the medium supporting the wave e.g., air vs water.