Euler equations on a semi-direct product of the diffeomorphisms group by itself

Escher, Joachim; Ivanov, Rossen; Kolev, Boris

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
dc.publisher	Springfield, MO : American Institute of Mathematical Sciences
dc.relation.ispartofseries	Journal of Geometric Mechanics 3 (2011), Nr. 3
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
dc.type	Text
dc.relation.issn	1941-4889
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
tib.accessRights	frei zug�nglich