Change search
ReferencesLink to record
Permanent link

Direct link
Multi-symplectic integration of the Camassa-Holm equation
Department of Mathematical Sciences, NTNU.
Department of Mathematical Sciences, NTNU.
Department of Mathematical Sciences, NTNU.
2008 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 227, no 11, 5492-5512 p.Article in journal (Refereed) Published
Abstract [en]

The Camassa-Holm equation is rich in geometric structures, it is completely integrable, bi-Hamiltonian, and it represents geodesics for a certain metric in the group of diffeomorphism. Here two new multi-symplectic formulations for the Camassa-Holm equation are presented, and the associated local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. The multi-symplectic discretisation of each formulation is exemplified by means of the Euler box scheme. Numerical experiments show that the schemes have good conservative properties, and one of them is designed to handle the conservative continuation of peakon-antipeakon collisions. (c) 2008 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
2008. Vol. 227, no 11, 5492-5512 p.
Keyword [en]
Camassa-Holm equation, multi-symplecticity, Euler box scheme, peakon-antipeakon collisions, conservation laws
National Category
Computational Mathematics
URN: urn:nbn:se:umu:diva-59175DOI: 10.1016/ 000256501800006OAI: diva2:551376
Available from: 2012-09-11 Created: 2012-09-11 Last updated: 2012-10-22Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Cohen, David
In the same journal
Journal of Computational Physics
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 23 hits
ReferencesLink to record
Permanent link

Direct link