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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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Dispersionless Hirota Equations of Two-Component BKP Hierarchy
Інший ID:
2000 Mathematics Subject Classification: 35Q58; 37K10; 58F07
Посилання:
Dispersionless Hirota Equations of Two-Component BKP Hierarchy / K. Takasaki // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 30 назв. — англ.
Підтримка:
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.
Дата:
2006
Переглядів:
595
Завантажень:
278
Анотація:
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.
