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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 141, Number 1, Pages 24–37
DOI: https://doi.org/10.4213/tmf118 (Mi tmf118) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Integrable Deformations of Tops Related to the Algebra so(p,q)

A. V. Tsiganov

St. Petersburg State University, Faculty of Physics
Full-text PDF (258 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf118
Abstract: We propose an integrable deformation of the known model of two interacting tops on the algebra so(p,q). We consider particular cases including the generalized Lagrange and Kovalevskaya tops. We construct the Lax matrices and the corresponding classical R-matrices.
Keywords: integrable systems, classical R-matrix, Kovalevskaya top.
Received: 19.12.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 141, Issue 1, Pages 1348–1360
DOI: https://doi.org/10.1023/B:TAMP.0000043853.36789.02
Bibliographic databases:
Language: Russian
Citation: A. V. Tsiganov, “Integrable Deformations of Tops Related to the Algebra so(p,q)”, TMF, 141:1 (2004), 24–37; Theoret. and Math. Phys., 141:1 (2004), 1348–1360
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf118
  • https://doi.org/10.4213/tmf118
  • https://www.mathnet.ru/eng/tmf/v141/i1/p24
    • This publication is cited in the following 4 articles:
    1. A. V. Vershilov, Yu. A. Grigorev, A. V. Tsyganov, “Ob odnoi integriruemoi deformatsii volchka Kovalevskoi”, Nelineinaya dinam., 10:2 (2014), 223–236  mathnet
    2. Komarov, IV, “On classical r matrix for the Kowalevski gyrostat on so(4)”, Physics of Atomic Nuclei, 70:3 (2007), 554  crossref  adsnasa  isi  scopus  scopus
    3. Igor V. Komarov, Andrey V. Tsiganov, “On Classical r-Matrix for the Kowalevski Gyrostat on so(4)”, SIGMA, 2 (2006), 012, 9 pp.  mathnet  crossref  mathscinet  zmath
    4. I. Z. Golubchik, V. V. Sokolov, “Factorization of the Loop Algebra and Integrable Toplike Systems”, Theoret. and Math. Phys., 141:1 (2004), 1329–1347  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  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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    Full-text PDF :218
    References:94
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