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.
Why Are We Calling Everything A “Wave”?Why have so many waves found their way into our cultural lexicon in recent years? In this article, the first in the column Mincing Metaphors, we unpack this oceanic metaphor to better understand what it means and why it’s proving so useful right now.
Compare Schrödinger equation.
Origin of wave equation
First recorded in 1925–30
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
British Dictionary definitions for 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
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
Science definitions for 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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