Dispersionless Hirota Equations of Two-Component BKP Hierarchy
The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the τ-function. The so called dispersionless Hirota equations are obtained from the Hirota equations of the τ-function. These dispersionless Hiro...
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| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146164 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Dispersionless Hirota Equations of Two-Component BKP Hierarchy / K. Takasaki // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 30 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146164 |
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dspace |
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irk-123456789-1461642019-02-08T01:23:27Z Dispersionless Hirota Equations of Two-Component BKP Hierarchy Takasaki, K. The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the τ-function. The so called dispersionless Hirota equations are obtained from the Hirota equations of the τ-function. These dispersionless Hirota equations turn out to be equivalent to a system of Hamilton-Jacobi equations. Other relevant equations, in particular, dispersionless Lax equations, can be derived from these fundamental equations. For comparison, another approach based on auxiliary linear equations is also presented. 2006 Article Dispersionless Hirota Equations of Two-Component BKP Hierarchy / K. Takasaki // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 30 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35Q58; 37K10; 58F07 http://dspace.nbuv.gov.ua/handle/123456789/146164 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 BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the τ-function. The so called dispersionless Hirota equations are obtained from the Hirota equations of the τ-function. These dispersionless Hirota equations turn out to be equivalent to a system of Hamilton-Jacobi equations. Other relevant equations, in particular, dispersionless Lax equations, can be derived from these fundamental equations. For comparison, another approach based on auxiliary linear equations is also presented. |
| format |
Article |
| author |
Takasaki, K. |
| spellingShingle |
Takasaki, K. Dispersionless Hirota Equations of Two-Component BKP Hierarchy Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Takasaki, K. |
| author_sort |
Takasaki, K. |
| title |
Dispersionless Hirota Equations of Two-Component BKP Hierarchy |
| title_short |
Dispersionless Hirota Equations of Two-Component BKP Hierarchy |
| title_full |
Dispersionless Hirota Equations of Two-Component BKP Hierarchy |
| title_fullStr |
Dispersionless Hirota Equations of Two-Component BKP Hierarchy |
| title_full_unstemmed |
Dispersionless Hirota Equations of Two-Component BKP Hierarchy |
| title_sort |
dispersionless hirota equations of two-component bkp hierarchy |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146164 |
| citation_txt |
Dispersionless Hirota Equations of Two-Component BKP Hierarchy / K. Takasaki // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 30 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:24:00Z |
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2023-05-20T17:24:00Z |
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1796153206788587520 |