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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm514https://doi.org/10.1070/sm2000v191n10ABEH000514 https://www.mathnet.ru/eng/sm/v191/i10/p39
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Abstract page: | 412 | Russian version PDF: | 199 | English version PDF: | 12 | References: | 52 | First page: | 2 |
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