# wave equation

Also found in: Thesaurus, Encyclopedia, Wikipedia.
Related to wave equation: wave function, Schrodinger wave equation, Heat equation

## wave equation

n.
1. A differential or partial differential equation used to represent wave motion.
2. The fundamental equation of wave mechanics.

## wave equation

n
(General Physics) 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
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 wave equation - a differential equation that describes the passage of harmonic waves through a mediumdifferential equation - an equation containing differentials of a function
References in periodicals archive ?
There have been many discoveries on these particles' existence and verity in the past - among which is Nobel laureate Paul Dirac's wave equation - but all of these discoveries are only founded on mathematical equations.
The finite difference formulation derived by strong form of wave equation with coefficient variations is efficient and accurate for the wave motion simulation of inhomogeneous media with gradient material properties.
The evolution of long internal waves (IWs) with small amplitudes in a stably stratified fluid is governed approximately by a linear wave equation, with small but cumulative corrections due to weak nonlinearity, dispersion and dissipation, and possibly to a slowly varying background.
Accuracy: The Acoustic Wave Equation Solver accurately predicts the propagation of acoustic waves generated by the near field CFD solution.
As pointed out in [7] and references therein, the photon wave equation is now used to study the propagation of photons in media, the quantum properties of electromagnetic waves in structured media, and the scattering of electromagnetic waves in both isotropic and anisotropic inhomogeneous media.
This led Maxwell to interpret his wave equation as governing light and to declare that light itself was a fundamentally electromagnetic phenomenon.
Chapters four through six are heavy with mathematics, discussing wave reduction with data processing, integral solutions to the wave equation with boundary and initial value conditions--using a variety of mathematical tools including Green's functions, Kirchoff integral formula, and the eikonal equation--and decomposition and continuation of seismic wave field using Fourier integrals.
Hirota: Exact N-soliton of the wave equation of long waves in shallow water and in nonlinear lattices, J.
From one side, the wave equation is one of 17 equations "that changed the world" [1], from the other side, it has an important role to play in mechanics.
The partial differential equation in space and time associated with a local disturbance in an infinite medium, generally is a wave equation with solutions representing traveling waves.
4:30 A COMPARISON OF TWO DIFFERENT NUMERICAL SOLUTIONS FOR THE TWO DIMENSIONAL ELASTIC WAVE EQUATION **, David C.

Site: Follow: Share:
Open / Close