On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
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 supe...
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| Дата: | 2015 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147112 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1471122019-02-14T01:23:33Z On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces Bertrand, S. Grundland, A.M. Hariton, A.J. 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. 2015 Article 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. 1815-0659 2010 Mathematics Subject Classification: 35Q51; 53A05; 22E70 DOI:10.3842/SIGMA.2015.046 http://dspace.nbuv.gov.ua/handle/123456789/147112 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Bertrand, S. Grundland, A.M. Hariton, A.J. |
| spellingShingle |
Bertrand, S. Grundland, A.M. Hariton, A.J. On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bertrand, S. Grundland, A.M. Hariton, A.J. |
| author_sort |
Bertrand, S. |
| title |
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces |
| title_short |
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces |
| title_full |
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces |
| title_fullStr |
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces |
| title_full_unstemmed |
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces |
| title_sort |
on the integrability of supersymmetric versions of the structural equations for conformally parametrized surfaces |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147112 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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