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Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces
Інший ID:
2000 Mathematics Subject Classification: 35Q53; 35Q58; 37K10; 37K30; 37K35; 58A50
Посилання:
Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces / O.Ye. Hentosh // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 22 назв. — англ.
Підтримка:
The author thanks Professor A.K. Prykarpatsky for useful discussions and Organizers of Sixth International Conference “Symmetry in Nonlinear Mathematical Physics” (2005, Kyiv) for invitation to take part in the conference. The present paper is the written version of the talk delivered by the author at this conference.
Дата:
2006
Переглядів:
555
Завантажень:
276
Анотація:
We obtain via Bäcklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra of super-integral-differential operators of one anticommuting variable, extended by evolutions of the corresponding spectral problem eigenfunctions and adjoint eigenfunctions, as well as for the hierarchies of their additional symmetries. The relation of these hierarchies with the integrable by Lax (2|1+1)-dimensional supersymmetric Davey-Stewartson system is investigated.
