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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
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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
\crossref{https://doi.org/10.1023/A:1023618515312}
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  • https://doi.org/10.4213/tmf192
  • https://www.mathnet.ru/eng/tmf/v135/i2/p240
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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