Geodesic
Kovalevskaya exponents of systems with exponential interaction
Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1459-1469 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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K. V. Emel'yanov; A. V. Tsygvintsev. Kovalevskaya exponents of systems with exponential interaction. Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1459-1469. http://geodesic.mathdoc.fr/item/SM_2000_191_10_a2/

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