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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 196, Number 3, Pages 465–486
DOI: https://doi.org/10.4213/tmf9470 (Mi tmf9470) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Separation of variables in the anisotropic Shottky–Frahm model

T. V. Skrypnikab

a University of Milano--Bicocca, Milano, Italy
b Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine
Full-text PDF (524 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9470
Abstract: We construct separated coordinates for the completely anisotropic Shottky–Frahm model on an arbitrary coadjoint orbit of SO(4)SO(4). We find explicit reconstruction formulas expressing dynamical variables in terms of the separation coordinates and write the equations of motion in the Abel-type form.
Keywords: integrable system, separation of variables, classical top.
Received: 29.09.2017
Revised: 11.10.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 196, Issue 3, Pages 1347–1365
DOI: https://doi.org/10.1134/S0040577918090088
Bibliographic databases:
MSC: 17B80;70H06;14H70
Language: Russian
Citation: T. V. Skrypnik, “Separation of variables in the anisotropic Shottky–Frahm model”, TMF, 196:3 (2018), 465–486; Theoret. and Math. Phys., 196:3 (2018), 1347–1365
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9470
  • https://www.mathnet.ru/eng/tmf/v196/i3/p465
    • This publication is cited in the following 2 articles:
    1. T. Skrypnyk, “Asymmetric separation of variables for the extended Clebsch and Manakov models”, Journal of Geometry and Physics, 197 (2024), 105078  crossref  mathscinet
    2. T. Skrypnyk, “Symmetric and asymmetric separation of variables for an integrable case of the complex Kirchhoff's problem”, J. Geom. Phys., 172 (2022), 104418  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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