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 |
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| 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| Summary: | 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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| ISSN: | 1815-0659 |