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Sbornik: Mathematics, 2000, Volume 191, Issue 10, Pages 1459–1469
DOI: https://doi.org/10.1070/sm2000v191n10ABEH000514 (Mi sm514) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Kovalevskaya exponents of systems with exponential interaction

K. V. Emel'yanova, A. V. Tsygvintsevb

a Udmurt State University
b M. V. Lomonosov Moscow State University
English version PDF (179 kB) Citations (6) Russian version article
References:
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DOI: https://doi.org/10.1070/sm2000v191n10ABEH000514
Abstract: The Kovalevskaya exponents are calculated for a class of systems generalizing Toda chains: systems with exponential interaction. It is shown that the known cases of algebraic integrability have no direct analogues in the case of spaces with pseudo-Euclidean metrics because the full-parameter expansions of the general solution contain complex powers of the independent variable.
Received: 15.11.1999
Bibliographic databases:
UDC: 517.9
MSC: 37J30, 37J35, 70H05
Language: English
Original paper language: Russian
Citation: K. V. Emel'yanov, A. V. Tsygvintsev, “Kovalevskaya exponents of systems with exponential interaction”, Sb. Math., 191:10 (2000), 1459–1469
Citation in format AMSBIB
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\by K.~V.~Emel'yanov, A.~V.~Tsygvintsev
\paper Kovalevskaya exponents of systems with exponential interaction
\jour Sb. Math.
\yr 2000
\vol 191
\issue 10
\pages 1459--1469
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  • https://doi.org/10.1070/sm2000v191n10ABEH000514
  • https://www.mathnet.ru/eng/sm/v191/i10/p39
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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