Euler Equations Related to the Generalized Neveu-Schwarz Algebra
In this paper, we study supersymmetric or bi-superhamiltonian Euler equations related to the generalized Neveu-Schwarz algebra. As an application, we obtain several supersymmetric or bi-superhamiltonian generalizations of some well-known integrable systems including the coupled KdV equation, the 2-c...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2013 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149205 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Euler Equations Related to the Generalized Neveu-Schwarz Algebra / D. Zuo // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 39 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862573870464106496 |
|---|---|
| author | Zuo, D. |
| author_facet | Zuo, D. |
| citation_txt | Euler Equations Related to the Generalized Neveu-Schwarz Algebra / D. Zuo // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 39 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper, we study supersymmetric or bi-superhamiltonian Euler equations related to the generalized Neveu-Schwarz algebra. As an application, we obtain several supersymmetric or bi-superhamiltonian generalizations of some well-known integrable systems including the coupled KdV equation, the 2-component Camassa-Holm equation and the 2-component Hunter-Saxton equation. To our knowledge, most of them are new.
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| first_indexed | 2025-11-26T08:29:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149205 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T08:29:07Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Zuo, D. 2019-02-19T18:35:28Z 2019-02-19T18:35:28Z 2013 Euler Equations Related to the Generalized Neveu-Schwarz Algebra / D. Zuo // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 39 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K10; 35Q51 DOI: http://dx.doi.org/10.3842/SIGMA.2013.045 https://nasplib.isofts.kiev.ua/handle/123456789/149205 In this paper, we study supersymmetric or bi-superhamiltonian Euler equations related to the generalized Neveu-Schwarz algebra. As an application, we obtain several supersymmetric or bi-superhamiltonian generalizations of some well-known integrable systems including the coupled KdV equation, the 2-component Camassa-Holm equation and the 2-component Hunter-Saxton equation. To our knowledge, most of them are new. The author thanks Qing-Ping Liu and the anonymous referees for valuable suggestions and
 Qing Chen, Bumsig Kim and Youjin Zhang for the continued supports. This work is partially
 supported by “PCSIRT” and the Fundamental Research Funds for the Central Universities
 (WK0010000024) and NSFC(11271345) and SRF for ROCS,SEM. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Euler Equations Related to the Generalized Neveu-Schwarz Algebra Article published earlier |
| spellingShingle | Euler Equations Related to the Generalized Neveu-Schwarz Algebra Zuo, D. |
| title | Euler Equations Related to the Generalized Neveu-Schwarz Algebra |
| title_full | Euler Equations Related to the Generalized Neveu-Schwarz Algebra |
| title_fullStr | Euler Equations Related to the Generalized Neveu-Schwarz Algebra |
| title_full_unstemmed | Euler Equations Related to the Generalized Neveu-Schwarz Algebra |
| title_short | Euler Equations Related to the Generalized Neveu-Schwarz Algebra |
| title_sort | euler equations related to the generalized neveu-schwarz algebra |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149205 |
| work_keys_str_mv | AT zuod eulerequationsrelatedtothegeneralizedneveuschwarzalgebra |