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 ?
To complete the PV perspective, the space and time derivatives in the scaler wave equation
The nonlinear wave equation with unbounded domain and several other such equations gains a lot of attention of scientists and engineers (Debnath, 1997).
Kadri and Akylas derived a new wave equation that includes both compressibility and gravity.
Long, "New exact solutions for a higher-order wave equation of KdV type using extended F-expansion method," Mathematical Problems in Engineering, vol.
The general wave equation regarding all scalar components of the unknown electromagnetic field vector intensities [?
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.
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.
Exact solution of the wave equation in inhomogeneous media is known for only a few particular profiles; and due to this, the scattering from inhomogeneous media has been intensively investigated and several approaches for analyzing such problems have been presented [4-17].
This specific circumstance hints at the necessity to check the wave equation.