Matrix Liouville equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 1, pp. 41-50 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Generalization of Liouville's equation to the case when the unknown function is a matrix is considered. For it, a Bicklund transformation is constructed and used to find several exact solutions. The question of the linear problem for such a matrix equation is discussed.
@article{TMF_1990_83_1_a4,
     author = {V. A. Andreev},
     title = {Matrix {Liouville} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {41--50},
     year = {1990},
     volume = {83},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_83_1_a4/}
}
TY  - JOUR
AU  - V. A. Andreev
TI  - Matrix Liouville equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 41
EP  - 50
VL  - 83
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_83_1_a4/
LA  - ru
ID  - TMF_1990_83_1_a4
ER  - 
%0 Journal Article
%A V. A. Andreev
%T Matrix Liouville equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 41-50
%V 83
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1990_83_1_a4/
%G ru
%F TMF_1990_83_1_a4
V. A. Andreev. Matrix Liouville equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 1, pp. 41-50. http://geodesic.mathdoc.fr/item/TMF_1990_83_1_a4/

[1] Wadati M., J. Phys. Soc. Jap., 38 (1975), 673–681 | DOI | MR

[2] Manakov S. V., ZhETF, 65:2 (1973), 505–513

[3] Kulish P. P., DAN SSSR, 255:2 (1980), 323–326 | MR

[4] Kulish P. P., Sklyanin E. K., Phys. Lett. A, 84A:7 (1981), 349–352 | DOI | MR

[5] Bogolyubov N. M., Budagov A. S., Zap. nauchn. sem. LOMI, 146, 1985, 3–19 | MR

[6] Popowicz Z., Inv. Probl., 3:2 (1987), 329–340 | DOI | MR | Zbl

[7] Andreev V. A., TMF, 75:3 (1988), 340–352 | MR