dc.identifier.uri | http://dx.doi.org/10.15488/1633 | |
dc.identifier.uri | http://www.repo.uni-hannover.de/handle/123456789/1658 | |
dc.contributor.author | Galajinsky, Anton | |
dc.contributor.author | Lechtenfeld, Olaf | |
dc.date.accessioned | 2017-06-15T08:00:07Z | |
dc.date.available | 2017-06-15T08:00:07Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Galajinsky, Anton; Lechtenfeld, Olaf: On two-dimensional integrable models with a cubic or quartic integral of motion. In: Journal of High Energy Physics 2013 (2013), Nr. 9, 113. DOI: https://doi.org/10.1007/JHEP09(2013)113 | |
dc.description.abstract | Integrable two-dimensional models which possess an integral of motion cubic or quartic in velocities are governed by a single prepotential, which obeys a nonlinear partial differential equation. Taking into account the latter's invariance under continuous rescalings and a dihedral symmetry, we construct new integrable models with a cubic or quartic integral, each of which involves either one or two continuous parameters. A reducible case related to the two-dimensional wave equation is discussed as well. We conjecture a hidden D (2n) dihedral symmetry for models with an integral of nth order in the velocities. | eng |
dc.description.sponsorship | DFG/LE 838/12-1 | |
dc.description.sponsorship | RFBR/13-02-91330 | |
dc.language.iso | eng | |
dc.publisher | New York, NY : Springer International Publishing | |
dc.relation.ispartofseries | Journal of High Energy Physics 2013 (2013), Nr. 9 | |
dc.rights | CC BY 4.0 Unported | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Integrable Equations in Physics | eng |
dc.subject | Discrete and Finite Symmetries | eng |
dc.subject | rigid-body dynamics | eng |
dc.subject | conservative-systems | eng |
dc.subject | invariants | eng |
dc.subject | potentials | eng |
dc.subject | freedom | eng |
dc.subject | momenta | eng |
dc.subject | hamiltonians | eng |
dc.subject | construction | eng |
dc.subject | s(2) | eng |
dc.subject.ddc | 530 | Physik | ger |
dc.title | On two-dimensional integrable models with a cubic or quartic integral of motion | |
dc.type | Article | |
dc.type | Text | |
dc.relation.issn | 1029-8479 | |
dc.relation.doi | https://doi.org/10.1007/JHEP09(2013)113 | |
dc.bibliographicCitation.issue | 9 | |
dc.bibliographicCitation.volume | 2013 | |
dc.bibliographicCitation.firstPage | 113 | |
dc.description.version | publishedVersion | |
tib.accessRights | frei zug�nglich |
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