# wave equation

- 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.

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Compare Schrödinger equation.

## Origin of wave equation^{}

First recorded in 1925–30

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## wave equation

- 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

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Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## 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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The American Heritage® Science Dictionary
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