Camassa–Holm equation
id:
camassa-holm-equation-187-7363577
title:
Camassa–Holm equation
text:
In fluid dynamics, the Camassa–Holm equation is the integrable, dimensionless and non-linear partial differential equation
- u t + 2 κ u x − u x x t + 3 u u x = 2 u x u x x + u u x x x. The equation was introduced by Roberto Camassa and Darryl Holm as a bi-Hamiltonian model for waves in shallow water, and in this context the parameter κ is positive and the solitary wave solutions are smooth solitons. In the special case that κ is equal to zero, the Camassa–Holm equation has peakon solutions: s
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Camassa%E2%80%93Holm_equation
date created:
2008-04-11T00:35:41Z
date modified:
2024-09-08T12:04:32Z
main entity:
{"identifier":"Q5025006","url":"https://www.wikidata.org/entity/Q5025006"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/a/ac/Two-peakon.svg","width":950,"height":380}
fields total:
13
integrity:
15