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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)
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
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 10, Pages 39–50
DOI: https://doi.org/10.4213/sm514
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”, Mat. Sb., 191:10 (2000), 39–50; Sb. Math., 191:10 (2000), 1459–1469
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:52
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