Maciej Błaszak, Ziemowit Domański, “Lax Representations for Separable Systems from Benenti Class”, SIGMA, 2019, Volume 15,045, 18 pp.

This article is cited in 3 papers

Lax Representations for Separable Systems from Benenti Class

Maciej Błaszak^a, Ziemowit Domański^b

^a Faculty of Physics, Division of Mathematical Physics, A. Mickiewicz University, Uniwersytetu Poznańskiego 2, 61-614 Poznań, Poland
^b Institute of Mathematics, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland

Abstract: 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.

Keywords: Lax representation, Stäckel system, Benenti system, Hamiltonian mechanics.

MSC: 70H06, 37J35

Received: December 13, 2018; in final form June 7, 2019; Published online June 18, 2019

Language: English

DOI: 10.3842/SIGMA.2019.045