Lax Representations for Separable Systems from Benenti Class
In this paper, we construct Lax pairs for Stäckel systems with separation curves from the so-called Benenti class. For each system of the considered family, we present an infinite family of Lax representations, parameterized by smooth functions of the spectral parameter.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2019 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210177 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Lax Representations for Separable Systems from Benenti Class / M. Błaszak, Z. Domański // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862624447983255552 |
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| author | Błaszak, M. Domański, Z. |
| author_facet | Błaszak, M. Domański, Z. |
| citation_txt | Lax Representations for Separable Systems from Benenti Class / M. Błaszak, Z. Domański // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper, we construct Lax pairs for Stäckel systems with separation curves from the so-called Benenti class. For each system of the considered family, we present an infinite family of Lax representations, parameterized by smooth functions of the spectral parameter.
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| first_indexed | 2025-12-07T21:24:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210177 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:39Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Błaszak, M. Domański, Z. 2025-12-03T14:25:55Z 2019 Lax Representations for Separable Systems from Benenti Class / M. Błaszak, Z. Domański // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70H06; 37J35 arXiv: 1811.09096 https://nasplib.isofts.kiev.ua/handle/123456789/210177 https://doi.org/10.3842/SIGMA.2019.045 In this paper, we construct Lax pairs for Stäckel systems with separation curves from the so-called Benenti class. For each system of the considered family, we present an infinite family of Lax representations, parameterized by smooth functions of the spectral parameter. We would like to thank the referees for many useful suggestions and constructive criticisms concerning the first version of this article. Z. Dománski has been partially supported by the grant 04/43/DSPB/0094 from the Polish Ministry of Science and Higher Education. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Lax Representations for Separable Systems from Benenti Class Article published earlier |
| spellingShingle | Lax Representations for Separable Systems from Benenti Class Błaszak, M. Domański, Z. |
| title | Lax Representations for Separable Systems from Benenti Class |
| title_full | Lax Representations for Separable Systems from Benenti Class |
| title_fullStr | Lax Representations for Separable Systems from Benenti Class |
| title_full_unstemmed | Lax Representations for Separable Systems from Benenti Class |
| title_short | Lax Representations for Separable Systems from Benenti Class |
| title_sort | lax representations for separable systems from benenti class |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210177 |
| work_keys_str_mv | AT błaszakm laxrepresentationsforseparablesystemsfrombenenticlass AT domanskiz laxrepresentationsforseparablesystemsfrombenenticlass |