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Symmetry, Integrability and Geometry: Methods and Applications, 2019, Volume 15, 045, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2019.045 (Mi sigma1481) 		 
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
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DOI: https://doi.org/10.3842/SIGMA.2019.045
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.
Funding agency Grant number
Ministry of Science and Higher Education (Poland) 04/43/DSPB/0094
Z. Domański has been partially supported by the grant 04/43/DSPB/0094 from the Polish Ministry of Science and Higher Education.
Received: December 13, 2018; in final form June 7, 2019; Published online June 18, 2019
Bibliographic databases:
Document Type: Article
MSC: 70H06, 37J35
Language: English
Citation: Maciej Błaszak, Ziemowit Domański, “Lax Representations for Separable Systems from Benenti Class”, SIGMA, 15 (2019), 045, 18 pp.
Citation in format AMSBIB
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\by Maciej~B\l aszak, Ziemowit~Doma{\'n}ski
\paper Lax Representations for Separable Systems from Benenti Class
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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