Lax Representations for Separable Systems from Benenti Class

Symmetry Integrability and Geometry-Methods and Applications

article

Maciej Błaszak¹  Ziemowit Domański² 

[1] Faculty of Physics, Division of Mathematical Physics, A. Mickiewicz University;Institute of Mathematics, Poznań University of Technology

关键词: Lax representation;    St¨ackel system;    Benenti system;    Hamiltonian mechanics;   

DOI  :  10.3842/SIGMA.2019.045

来源: National Academy of Science of Ukraine

【 摘 要 】

In this paper we construct Lax pairs for Stäckel systems with separation curves from so-called Benenti class. For each system of considered family we present an infinite family of Lax representations, parameterized by smooth functions of spectral parameter.

【 授权许可】

Unknown