Geodesic
Matrix sine-Gordon equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 3, pp. 353-365 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A generalization of the sine-Gordon equation to the case when the unknown function is a matrix is considered. For it, Bäcklund transformations are constructed and used to find several exact solutions. The algebraic structure of the linear problem associated with this equation is studied. A connection between matrix Toda chains and self-dual Yang–Mills equations is found. 
@article{TMF_1990_84_3_a2,
     author = {V. A. Andreev},
     title = {Matrix {sine-Gordon} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {353--365},
     year = {1990},
     volume = {84},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a2/}
}
TY  - JOUR
AU  - V. A. Andreev
TI  - Matrix sine-Gordon equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 353
EP  - 365
VL  - 84
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a2/
LA  - ru
ID  - TMF_1990_84_3_a2
ER  - 
%0 Journal Article
%A V. A. Andreev
%T Matrix sine-Gordon equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 353-365
%V 84
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a2/
%G ru
%F TMF_1990_84_3_a2
V. A. Andreev. Matrix sine-Gordon equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 3, pp. 353-365. http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a2/

[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, 84:7 (1981), 349–352 | DOI | MR

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

[6] Budagov A. S., Takhtadzhyan L. A., DAN SSSR, 235:4 (1977), 805–808 | MR

[7] Budagov A. S., Zap. nauch. sem. LOMI, 77, 1978, 24–56 | MR | Zbl

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

[9] Andreev V. A., TMF, 36:3 (1978), 335–344 | MR | Zbl

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

[11] Andreev V. A., TMF, 83:1 (1990), 41–50 | MR | Zbl

[12] Belavin A. A., Zakharov V. E., Pisma v ZhETF, 25:12 (1977), 603–607