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# wave equation

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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.

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Compare SchrÃ¶dinger equation.

## Origin of wave equation

First recorded in 1925â€“30

## Words nearby wave equation

wave cyclone, waved, wave down, wave election, wave energy, wave equation, wave farm, wave-form, wave front, wave function, waveguide

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, Â© Random House, Inc. 2022

## How to use wave equation in a sentence

## British Dictionary definitions for wave equation

wave equation

noun

physics a partial differential equation describing wave motion. It has the form âˆ‡Â²Ï† = (1/ c Â²)Â Ã—Â (âˆ‚Â²Ï†/âˆ‚ t Â²), where âˆ‡Â² is the Laplace operator, t the time, c the speed of propagation, and Ï† is a function characterizing the displacement of the wave

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

## 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 SchrÃ¶dinger's equation.

The American HeritageÂ® Science Dictionary
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