Geodesic
Vector-matrix generalizations of classical integrable equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 214-218 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Some vector-matrix generalizations, both known and new, for well-known integrable equations are presented. All of them possess higher symmetries and conservation laws. 
@article{TMF_1994_100_2_a4,
     author = {S. I. Svinolupov and V. V. Sokolov},
     title = {Vector-matrix generalizations of classical integrable equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {214--218},
     year = {1994},
     volume = {100},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a4/}
}
TY  - JOUR
AU  - S. I. Svinolupov
AU  - V. V. Sokolov
TI  - Vector-matrix generalizations of classical integrable equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 214
EP  - 218
VL  - 100
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a4/
LA  - ru
ID  - TMF_1994_100_2_a4
ER  - 
%0 Journal Article
%A S. I. Svinolupov
%A V. V. Sokolov
%T Vector-matrix generalizations of classical integrable equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 214-218
%V 100
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a4/
%G ru
%F TMF_1994_100_2_a4
S. I. Svinolupov; V. V. Sokolov. Vector-matrix generalizations of classical integrable equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 214-218. http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a4/

[1] Athorne C., Fordy A. P., J. Phys. A: Math. Gen., 19 (1986)

[2] Svinolupov S. I., TMF, 87:3 (1991), 391–403 | MR | Zbl

[3] Vinberg E. B., Tr. MMO, 1963, no. 12, 340–403 | MR | Zbl

[4] Svinolupov S. I., Phys. Lett. A, 135:1 (1989), 32–36 | DOI | MR

[5] Sokolov V. V., UMN, 43:5 (1988), 133–163 | MR | Zbl

[6] Semenov-Tyan-Shanskii M. A., Faddeev L. D., Vestnik LGU, 3:13 (1977), 81–88 | MR

[7] Fordy A. P., Kulish P. P., Commun. Math. Phys., 89 (1983), 427–443 | DOI | MR | Zbl

[8] Fordy A. P., J. Phys. A: Math. Gen., 17 (1984), 1235–1245 | DOI | MR | Zbl

[9] Svinolupov S. I., Commun. Math. Phys., 143 (1992), 559–575 | DOI | MR | Zbl

[10] Svinolupov S. I., Funkts. analiz i ego prilozh., 27:4 (1993), 40–53 | MR | Zbl

[11] Koecher M., An elementary approach to bounded symmetric domains, Rice University, Houston, Tex., 1969 | MR | Zbl

[12] Loos O., Simmetricheskie prostranstva, Nauka, M., 1985 | MR

[13] Loos O., Jordan pairs, Lecture Notes in Mathematics, 460, Springer-Verlag, Berlin, 1975 | DOI | MR | Zbl