Wave-equation


noun
1.
Mathematics, Physics. any differential equation that describes the propagation of waves or other disturbances in a medium.
2.
Physics. any of the fundamental equations of quantum mechanics whose solutions are possible wave functions of a particle.
wave equation
noun
1.
(physics) a partial differential equation describing wave motion. It has the form ∇²φ = (1/c²) × (∂²φ/∂t²), 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
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.

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