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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2006 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862538458181926912 |
|---|---|
| author | Takasaki, K. |
| author_facet | Takasaki, K. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-24T12:50:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146164 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T12:50:23Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Takasaki, K. 2019-02-07T19:55:15Z 2019-02-07T19:55:15Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/146164 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. I would like to thank T. Ikeda, T. Shiota and T. Takebe for cooperation. I also would like to thank L. Martinez Alonso, B. Konopelchenko, M. Ma˜nas and A. Sorin for useful discussions during the SISSA conference “Riemann–Hilbert Problems, Integrability and Asymptotics” in September, 2005. This research was partially supported by Grant-in-Aid for Scientific Research No. 16340040 from the Japan Society for the Promotion of Science. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Dispersionless Hirota Equations of Two-Component BKP Hierarchy Article published earlier |
| spellingShingle | Dispersionless Hirota Equations of Two-Component BKP Hierarchy Takasaki, K. |
| title | 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_short | Dispersionless Hirota Equations of Two-Component BKP Hierarchy |
| title_sort | dispersionless hirota equations of two-component bkp hierarchy |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146164 |
| work_keys_str_mv | AT takasakik dispersionlesshirotaequationsoftwocomponentbkphierarchy |