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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 $SO(4)$. 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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    • 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
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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