dc.identifier.uri |
http://dx.doi.org/10.15488/1675 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/1700 |
|
dc.contributor.author |
Escher, Joachim
|
|
dc.contributor.author |
Ivanov, Rossen
|
|
dc.contributor.author |
Kolev, Boris
|
|
dc.date.accessioned |
2017-07-04T10:06:07Z |
|
dc.date.available |
2017-07-04T10:06:07Z |
|
dc.date.issued |
2011 |
|
dc.identifier.citation |
Escher, J.; Ivanov, R.; Kolev, B.: Euler equations on a semi-direct product of the diffeomorphisms group by itself. In: Journal of Geometric Mechanics 3 (2011), Nr. 3, S. 313-322. DOI: https://doi.org/10.3934/jgm.2011.3.313 |
|
dc.description.abstract |
The geodesic equations of a class of right invariant metrics on the semi-direct product Diff(S 1)sDiff(S 1) are studied. The equations are explicitly described, they have the form of a system of coupled equations of Camassa-Holm type and possess singular (peakon) solutions. Their integrability is further investigated, however no compatible bi-Hamiltonian structures on the corresponding dual Lie algebra (Vect(S 1) sVect(S 1))* are found. |
eng |
dc.description.sponsorship |
Science Foundation Ireland (SFI)/09/RFP/MTH2144 |
|
dc.description.sponsorship |
Science Foundation Ireland (SFI)/09/RFP/MTH2144 |
|
dc.language.iso |
eng |
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dc.publisher |
Springfield, MO : American Institute of Mathematical Sciences |
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dc.relation.ispartofseries |
Journal of Geometric Mechanics 3 (2011), Nr. 3 |
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dc.rights |
CC BY-NC-SA 3.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by-nc-sa/3.0/ |
|
dc.subject |
Dieomorphism group of the circle |
eng |
dc.subject |
Euler equation |
eng |
dc.subject |
Integrable systems |
eng |
dc.subject |
Peakons |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Euler equations on a semi-direct product of the diffeomorphisms group by itself |
|
dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
1941-4889 |
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dc.relation.doi |
https://doi.org/10.3934/jgm.2011.3.313 |
|
dc.bibliographicCitation.issue |
3 |
|
dc.bibliographicCitation.volume |
3 |
|
dc.bibliographicCitation.firstPage |
313 |
|
dc.bibliographicCitation.lastPage |
322 |
|
dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|