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This article is cited in 2 scientific papers (total in 2 papers)
Lax Representations for Separable Systems from Benenti Class
Maciej Błaszaka, Ziemowit Domańskib 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.
Received: December 13, 2018; in final form June 7, 2019; Published online June 18, 2019
Citation:
Maciej Błaszak, Ziemowit Domański, “Lax Representations for Separable Systems from Benenti Class”, SIGMA, 15 (2019), 045, 18 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1481 https://www.mathnet.ru/eng/sigma/v15/p45
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Abstract page: | 111 | Full-text PDF : | 19 | References: | 11 |
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