Benjamin–Bona–Mahony equation
id:
benjamin-bona-mahony-equation-303-4461416
title:
Benjamin–Bona–Mahony equation
text:
The Benjamin–Bona–Mahony equation is the partial differential equation This equation was studied in Benjamin, Bona, and Mahony (1972) as an improvement of the Korteweg–de Vries equation for modeling long surface gravity waves of small amplitude – propagating uni-directionally in 1+1 dimensions. They show the stability and uniqueness of solutions to the BBM equation. This contrasts with the KdV equation, which is unstable in its high wavenumber components. Further, while the KdV equation has an i
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Benjamin%E2%80%93Bona%E2%80%93Mahony_equation
date created:
date modified:
2022-12-25T02:58:38Z
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/23/BBM_equation_-_overtaking_solitary_waves_animation.gif","width":416,"height":160}
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