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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 2, Pages 240–247
DOI: https://doi.org/10.4213/tmf192 (Mi tmf192) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Separation of Variables in the Kovalevskaya–Goryachev–Chaplygin Gyrostat

A. V. Tsiganov

St. Petersburg State University, Faculty of Physics
Full-text PDF (206 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf192
Abstract: We construct separation variables for the Kovalevskaya–Goryachev–Chaplygin gyrostat for arbitrary values of the parameters. We show that different separation variables can be constructed for the same integrable system if different integrals of motion are chosen.
Keywords: integrable systems, Hamilton–Jacobi equation, separation of variables.
Received: 13.03.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 2, Pages 651–658
DOI: https://doi.org/10.1023/A:1023618515312
Bibliographic databases:
Language: Russian
Citation: A. V. Tsiganov, “Separation of Variables in the Kovalevskaya–Goryachev–Chaplygin Gyrostat”, TMF, 135:2 (2003), 240–247; Theoret. and Math. Phys., 135:2 (2003), 651–658
Citation in format AMSBIB
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\paper Separation of Variables in the Kovalevskaya--Goryachev--Chaplygin Gyrostat
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\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 135
\issue 2
\pages 651--658
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Linking options:
  • https://www.mathnet.ru/eng/tmf192
  • https://doi.org/10.4213/tmf192
  • https://www.mathnet.ru/eng/tmf/v135/i2/p240
    • This publication is cited in the following 4 articles:
    1. Borisov A. Mamaev I., “Rigid Body Dynamics”, Rigid Body Dynamics, de Gruyter Studies in Mathematical Physics, 52, Walter de Gruyter Gmbh, 2019, 1–520  mathscinet  isi
    2. M. P. Kharlamov, P. E. Ryabov, I. I. Kharlamova, “Topological Atlas of the Kovalevskaya–Yehia Gyrostat”, J. Math. Sci. (N. Y.), 227:3 (2017), 241–386  mathnet  mathnet  crossref  scopus
    3. A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Topology and stability of integrable systems”, Russian Math. Surveys, 65:2 (2010), 259–318  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    4. M. P. Kharlamov, “Topologicheskii analiz i bulevy funktsii: I. Metody i prilozheniya k klassicheskim sistemam”, Nelineinaya dinam., 6:4 (2010), 769–805  mathnet
    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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    References:82
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