wave equation


noun

Mathematics, Physics. any differential equation that describes the propagation of waves or other disturbances in a medium.
Physics. any of the fundamental equations of quantum mechanics whose solutions are possible wave functions of a particle.

Origin of wave equation

First recorded in 1925–30

British Dictionary definitions for wave equation

wave equation

noun

physics a partial differential equation describing wave motion. It has the form ∇²φ = (1/ c ²) × (∂²φ/∂ t ²), where ∇² is the Laplace operator, t the time, c the speed of propagation, and φ is a function characterizing the displacement of the wave

Scientific definitions for wave equation

wave equation

A partial differential equation that describes the shape and movement of waves, given a set of boundary conditions (such as the initial shape of the wave, or the evolution of a force affecting the wave).
The fundamental equation of wave mechanics. See also Schrödinger's equation.