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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
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Sum total of downloads: 127
| 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. | |
| License of this version: | CC BY-NC-SA 3.0 Unported |
| Document Type: | Article |
| Publishing status: | publishedVersion |
| Issue Date: | 2011 |
| Appears in Collections: | Fakultät für Mathematik und Physik |
distribution of downloads over the selected time period:
downloads by country:
| pos. | country | downloads | ||
|---|---|---|---|---|
| total | perc. | |||
| 1 |  |
Germany | 71 | 55.91% |
| 2 |  |
United States | 22 | 17.32% |
| 3 |  |
China | 12 | 9.45% |
| 4 |  |
United Kingdom | 6 | 4.72% |
| 5 |  |
Indonesia | 4 | 3.15% |
| 6 |  |
No geo information available | 3 | 2.36% |
| 7 |  |
Sweden | 2 | 1.57% |
| 8 |  |
Switzerland | 2 | 1.57% |
| 9 |  |
Russian Federation | 1 | 0.79% |
| 10 |  |
Hungary | 1 | 0.79% |
| other countries | 3 | 2.36% | ||
Further download figures and rankings:
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