Geodesic
Theory of group representations and integration of nonlinear dynamical systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 1, pp. 3-12

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

For nonlinear two-dimensional dynamical systems associated with graded Lie algebras a method is developed for constructing general solutions. The construction is based on the realization of a Lax type representation by operators which take values in the corresponding algebra and uses the theory of representations of algebras. 
@article{TMF_1981_48_1_a0,
     author = {A. N. Leznov and M. V. Saveliev and V. G. Smirnov},
     title = {Theory of group representations and integration of nonlinear dynamical systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--12},
     publisher = {mathdoc},
     volume = {48},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_1_a0/}
}
TY  - JOUR
AU  - A. N. Leznov
AU  - M. V. Saveliev
AU  - V. G. Smirnov
TI  - Theory of group representations and integration of nonlinear dynamical systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 3
EP  - 12
VL  - 48
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_48_1_a0/
LA  - ru
ID  - TMF_1981_48_1_a0
ER  - 
%0 Journal Article
%A A. N. Leznov
%A M. V. Saveliev
%A V. G. Smirnov
%T Theory of group representations and integration of nonlinear dynamical systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 3-12
%V 48
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1981_48_1_a0/
%G ru
%F TMF_1981_48_1_a0
A. N. Leznov; M. V. Saveliev; V. G. Smirnov. Theory of group representations and integration of nonlinear dynamical systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TMF_1981_48_1_a0/