Lax Representations for Separable Systems from Benenti Class

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• ISSN: 1815-0659
• Main Authors: Błaszak, M., Domański, Z.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210177
• 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.

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.