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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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146345 |
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| Цитувати: | The Integrability of New Two-Component KdV Equation / Z. Popowicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 25 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146345 |
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dspace |
| spelling |
irk-123456789-1463452019-02-10T01:23:46Z The Integrability of New Two-Component KdV Equation Popowicz, Z. 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. 2010 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146345 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 |
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. |
| format |
Article |
| author |
Popowicz, Z. |
| spellingShingle |
Popowicz, Z. The Integrability of New Two-Component KdV Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Popowicz, Z. |
| author_sort |
Popowicz, Z. |
| title |
The Integrability of New Two-Component KdV Equation |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:24:06Z |
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2023-05-20T17:24:06Z |
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