Telegraphic equation

From Glossary of Meteorology

telegraphic equation

(Also called telegrapher's equation.) A partial differential equation usually written in the form
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 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.