wave equation

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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
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Noun1.wave equation - a differential equation that describes the passage of harmonic waves through a medium
differential equation - an equation containing differentials of a function
References in periodicals archive ?
The wave equations for several components become for rotational symmetry with spherical coordinates
After discussing the theory of Radon transforms on symmetric spaces, inversion formulas, and range theorems, the book examines applications to invariant differential equations on symmetric spaces, existence theorems, and explicit solution formulas, particularly potential theory and wave equations.
Dalang and Sanz-Sole consider a dimensional random field that solves a nonlinear system of stochastic wave equations in spatial dimensions, driven by a spatially homogeneous Gaussian noise that is white in time.
Among the topics are the derivation of nonlinear wave equations, soliton perturbation theories and applications, and nonlinear wave phenomena in periodic media.
This is a quotation from a paper with the title "ECE Generalizations of the d'Alembert, Proca and Superconductivity Wave Equations .
ABSTRACT: The aim of this research was to deal with coupled problem of the symmetric regularized long wave equations.
But compressibility and gravity are not factored in typical water wave equations that characterize ocean wave interactions, and "without compressibility and gravity, we cannot describe low-frequency sound waves correctly," says Kadri; therefore such equations normally don't apply to acoustic gravity waves.
The Elastodynamics of the Spacetime Continuum (STCED) [16] has similarities to Bohmian mechanics in that the solutions of the STCED wave equations are similar to Louis de Broglie's "double solution" [17,18].
which is derived by Fokas [2] in the process of extending the integrable Kadomtsev-Petviashvili (KP) and Davey-Stewartson (DS) equations to some new higher-dimensional nonlinear wave equations.
This comprehensive encyclopedia describes the mathematics used for all sorts of scientific, engineering and social purposes, from algorithms and Benford's law to voting systems and wave equations.
Non linear wave equations are central in the description of many canonical models in physics from nonlinear optics to fluid mechanics.
Thus in [3], various electrodynamic wave equations were considered.