Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces
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 eigenfuncti...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2006 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146454 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862567059086376960 |
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| author | Hentosh, O.Ye. |
| author_facet | Hentosh, O.Ye. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-11-26T00:12:34Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146454 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T00:12:34Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hentosh, O.Ye. 2019-02-09T17:24:33Z 2019-02-09T17:24:33Z 2006 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. 1815-0659 2000 Mathematics Subject Classification: 35Q53; 35Q58; 37K10; 37K30; 37K35; 58A50 https://nasplib.isofts.kiev.ua/handle/123456789/146454 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces Article published earlier |
| spellingShingle | Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces Hentosh, O.Ye. |
| title | Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces |
| title_full | Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces |
| title_fullStr | Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces |
| title_full_unstemmed | Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces |
| title_short | Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces |
| title_sort | lax integrable supersymmetric hierarchies on extended phase spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146454 |
| work_keys_str_mv | AT hentoshoye laxintegrablesupersymmetrichierarchiesonextendedphasespaces |