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Conservation laws of the Camassa-Holm equation
Lund University, Sweden .ORCID iD: 0000-0001-6191-7769
2005 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 38, no 4, 869-880 p.Article in journal (Refereed) Published
Abstract [en]

We use the bi-Hamiltonian structure of the Camassa-Holm equation to show that its conservation laws Hn[m] are homogeneous with respect to the scaling m → λm. Moreover, a direct argument is presented proving that H-1, H-2,..., are of local character. Finally, simple representations of the conservation laws in terms of their variational derivatives are derived and used to obtain a constructive scheme for computation of the Hns.

Place, publisher, year, edition, pages
2005. Vol. 38, no 4, 869-880 p.
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-163843DOI: 10.1088/0305-4470/38/4/007ISI: 000227044500009Scopus ID: 2-s2.0-12944314802OAI: oai:DiVA.org:kth-163843DiVA: diva2:802350
Note

QC 20150427

Available from: 2015-04-12 Created: 2015-04-12 Last updated: 2017-12-04Bibliographically approved

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Lenells, Jonatan

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