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періодичних видань НАН України
періодичних видань НАН України
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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| dc.contributor.author | Bertrand, S. | |
| dc.contributor.author | Grundland, A.M. | |
| dc.contributor.author | Hariton, A.J. | |
| dc.date.accessioned | 2019-02-13T16:52:14Z | |
| dc.date.available | 2019-02-13T16:52:14Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces / S. Bertrand, A.M. Grundland, A.J. Hariton // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 51 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 35Q51; 53A05; 22E70 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.046 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147112 | |
| dc.description.abstract | The paper presents the bosonic and fermionic supersymmetric extensions of the structural equations describing conformally parametrized surfaces immersed in a Grasmann superspace, based on the authors' earlier results. A detailed analysis of the symmetry properties of both the classical and supersymmetric versions of the Gauss-Weingarten equations is performed. A supersymmetric generalization of the conjecture establishing the necessary conditions for a system to be integrable in the sense of soliton theory is formulated and illustrated by the examples of supersymmetric versions of the sine-Gordon equation and the Gauss-Codazzi equations. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html. We thank professor D. Levi (University of Roma Tre) for useful discussions on this topic. AMG’s work was supported by a research grant from NSERC. SB acknowledges a doctoral fellowship provided by the FQRNT of the Gouvernement du Qu´ebec. AJH wishes to acknowledge and thank the Mathematical Physics Laboratory of the Centre de Recherches Math´ematiques for the opportunity to contribute to this research. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
