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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2010 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2010
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146345 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862679890902384640 |
|---|---|
| author | Popowicz, Z. |
| author_facet | Popowicz, Z. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T15:44:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146345 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:44:47Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The Integrability of New Two-Component KdV Equation Popowicz, Z. |
| title | 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_short | The Integrability of New Two-Component KdV Equation |
| title_sort | integrability of new two-component kdv equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146345 |
| work_keys_str_mv | AT popowiczz theintegrabilityofnewtwocomponentkdvequation AT popowiczz integrabilityofnewtwocomponentkdvequation |