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періодичних видань НАН України
Dispersionless Hirota Equations of Two-Component BKP Hierarchy
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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| dc.contributor.author | Takasaki, K. | |
| dc.date.accessioned | 2019-02-07T19:55:15Z | |
| dc.date.available | 2019-02-07T19:55:15Z | |
| dc.date.issued | 2006 | |
| dc.identifier.citation | Dispersionless Hirota Equations of Two-Component BKP Hierarchy / K. Takasaki // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 30 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 35Q58; 37K10; 58F07 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146164 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Dispersionless Hirota Equations of Two-Component BKP Hierarchy | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
