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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 2, Pages 196–207
DOI: https://doi.org/10.4213/tmf8359 (Mi tmf8359) 		 
This article is cited in 2 scientific papers (total in 2 papers)

New integrable systems as a limit of the elliptic $SL(N,\mathbb C)$ top

S. Arthamonovab

a Moscow Institute for Physics and Technology, Moscow, Russia
b Institute for Theoretical and Experimental Physics, Moscow, Russia
Full-text PDF (461 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf8359
Abstract: We consider the scaling limit of an elliptic top. This limit is a combination of a scaling of the elliptic top variables, an infinite shift of the spectral parameter, and the trigonometric limit. We give general necessary constraints on the scaling of the variables and examples of such a degeneracy. A certain subclass of limit systems is integrable in the Liouville sense, which can also be shown directly.
Keywords: integrable system, Inozemtsev limit, integrability test, elliptic top.
Received: 16.05.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 2, Pages 589–599
DOI: https://doi.org/10.1007/s11232-012-0057-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Arthamonov, “New integrable systems as a limit of the elliptic $SL(N,\mathbb C)$ top”, TMF, 171:2 (2012), 196–207; Theoret. and Math. Phys., 171:2 (2012), 589–599
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8359
  • https://doi.org/10.4213/tmf8359
  • https://www.mathnet.ru/eng/tmf/v171/i2/p196
    • This publication is cited in the following 2 articles:
    1. G. Aminov, S. Arthamonov, “New $2\times 2$ 2 × 2 -Matrix Linear Problems for the Painlevé Equations III, V”, Constr Approx, 41:3 (2015), 357  crossref
    2. G. Aminov, S. Arthamonov, “Degenerating the elliptic Schlesinger system”, Theoret. and Math. Phys., 174:1 (2013), 1–20  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  elib  elib
    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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    Abstract page:561
    Full-text PDF :216
    References:94
    First page:21
     
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