Telegraphic equation

From Glossary of Meteorology



telegraphic equation

(Also called telegrapher's equation.) A partial differential equation usually written in the form
ams2001glos-Te8
where t is a time coordinate, x is a space coordinate, and a and b are positive constants.

This is the equation governing the flow of electricity in a cable. When b < 0, the equation applies to the motion of long gravitational waves in a rotating ocean.


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.