## 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 where Electromagnetic waves are governed by a set of vector wave equations.

*v*is the phase speed. An example of a nonlinear wave equation is the Korteweg–deVries equation

Copyright 2022 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.