Wave equation

From Glossary of Meteorology
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wave equation

Any of a general class of linear and nonlinear scalar and vector partial differential equations in time and space.

An example of a wave equation is the linear scalar equation
ams2001glos-We2
where v is the phase speed. An example of a nonlinear wave equation is the Korteweg–deVries equation
ams2001glos-We3
Electromagnetic waves are governed by a set of vector wave equations.