The Integrability of New Two-Component KdV Equation
We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and rediscovered by Sakovich and Foursov. Connection of this equation with the supersymmetric Kadomtsev-Petviashvilli-Radul-Manin hierarchy is presented. For this new sup...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146345 |
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| Cite this: | The Integrability of New Two-Component KdV Equation / Z. Popowicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 25 назв. — англ. |
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Popowicz, Z. 2019-02-09T09:01:21Z 2019-02-09T09:01:21Z 2010 The Integrability of New Two-Component KdV Equation / Z. Popowicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 25 назв. — англ. 1815-0659 DOI:10.3842/SIGMA.2010.018 2010 Mathematics Subject Classification: 35J05; 81Q60 https://nasplib.isofts.kiev.ua/handle/123456789/146345 We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and rediscovered by Sakovich and Foursov. Connection of this equation with the supersymmetric Kadomtsev-Petviashvilli-Radul-Manin hierarchy is presented. For this new supersymmetric equation the Lax representation and odd Hamiltonian structure is given. This paper is a contribution to the Proceedings of the XVIIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 18–20, 2009, Prague, Czech Republic). The full collection is available at http://www.emis.de/journals/SIGMA/ISQS2009.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Integrability of New Two-Component KdV Equation Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
The Integrability of New Two-Component KdV Equation |
| spellingShingle |
The Integrability of New Two-Component KdV Equation Popowicz, Z. |
| title_short |
The Integrability of New Two-Component KdV Equation |
| title_full |
The Integrability of New Two-Component KdV Equation |
| title_fullStr |
The Integrability of New Two-Component KdV Equation |
| title_full_unstemmed |
The Integrability of New Two-Component KdV Equation |
| title_sort |
integrability of new two-component kdv equation |
| author |
Popowicz, Z. |
| author_facet |
Popowicz, Z. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and rediscovered by Sakovich and Foursov. Connection of this equation with the supersymmetric Kadomtsev-Petviashvilli-Radul-Manin hierarchy is presented. For this new supersymmetric equation the Lax representation and odd Hamiltonian structure is given.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146345 |
| citation_txt |
The Integrability of New Two-Component KdV Equation / Z. Popowicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 25 назв. — англ. |
| work_keys_str_mv |
AT popowiczz theintegrabilityofnewtwocomponentkdvequation AT popowiczz integrabilityofnewtwocomponentkdvequation |
| first_indexed |
2025-12-07T15:44:47Z |
| last_indexed |
2025-12-07T15:44:47Z |
| _version_ |
1850864867286712320 |