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Title: Kovalevskaya exponents of systems with exponential interaction

Journal Article · · Sbornik. Mathematics
 [1];  [2]
  1. Udmurt State University, Izhevsk (Russian Federation)
  2. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)

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.

OSTI ID:
21202972
Journal Information:
Sbornik. Mathematics, Vol. 191, Issue 10; Other Information: DOI: 10.1070/SM2000v191n10ABEH000514; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

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