Geodesic
Kovalevskaya exponents of systems with exponential interaction
Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1459-1469

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{SM_2000_191_10_a2,
     author = {K. V. Emel'yanov and A. V. Tsygvintsev},
     title = {Kovalevskaya exponents of systems with exponential interaction},
     journal = {Sbornik. Mathematics},
     pages = {1459--1469},
     publisher = {mathdoc},
     volume = {191},
     number = {10},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2000_191_10_a2/}
}
TY  - JOUR
AU  - K. V. Emel'yanov
AU  - A. V. Tsygvintsev
TI  - Kovalevskaya exponents of systems with exponential interaction
JO  - Sbornik. Mathematics
PY  - 2000
SP  - 1459
EP  - 1469
VL  - 191
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2000_191_10_a2/
LA  - en
ID  - SM_2000_191_10_a2
ER  - 
%0 Journal Article
%A K. V. Emel'yanov
%A A. V. Tsygvintsev
%T Kovalevskaya exponents of systems with exponential interaction
%J Sbornik. Mathematics
%D 2000
%P 1459-1469
%V 191
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2000_191_10_a2/
%G en
%F SM_2000_191_10_a2
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/