Wave equation: Difference between revisions

From Glossary of Meteorology
(Created page with " {{TermHeader}} {{TermSearch}} <div class="termentry"> <div class="term"> == wave equation == </div> <div class="definition"><div class="short_definition">Any of a gene...")
 
m (Rewrite with Template:Term and clean up)
 
Line 1: Line 1:
 
{{Term
 
|Display title=wave equation
{{TermHeader}}
|Definitions={{Definition
{{TermSearch}}
|Num=1
 
|Meaning=Any of a general class of [[linear]] and [[nonlinear]] scalar and [[vector]] partial differential  equations in time and space.
<div class="termentry">
|Explanation=An example of a wave equation is the linear scalar equation  <blockquote>[[File:ams2001glos-We2.gif|link=|center|ams2001glos-We2]]</blockquote> where ''v'' is the [[phase speed]]. An example of a nonlinear wave equation is the Korteweg&ndash;deVries  equation  <blockquote>[[File:ams2001glos-We3.gif|link=|center|ams2001glos-We3]]</blockquote>[[Electromagnetic waves]] are governed by a set of vector wave equations.
  <div class="term">
}}
== wave equation ==
}}
  </div>
 
<div class="definition"><div class="short_definition">Any of a general class of [[linear]] and [[nonlinear]] scalar and [[vector]] partial differential  equations in time and space.</div><br/> <div class="paragraph">An example of a wave equation is the linear scalar equation  <div class="display-formula"><blockquote>[[File:ams2001glos-We2.gif|link=|center|ams2001glos-We2]]</blockquote></div> where ''v'' is the [[phase speed]]. An example of a nonlinear wave equation is the Korteweg&ndash;deVries  equation  <div class="display-formula"><blockquote>[[File:ams2001glos-We3.gif|link=|center|ams2001glos-We3]]</blockquote></div>[[Electromagnetic waves]] are governed by a set of vector wave equations.</div><br/> </div>
</div>
 
{{TermIndex}}
{{TermFooter}}
 
[[Category:Terms_W]]

Latest revision as of 00:26, 29 March 2024

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.
Copyright 2025 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.