Bäcklund transformations of the Bullough–Dodd–Zhiber–Shabat equation and symmetries of integrable equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 151-154
Cet article a éte moissonné depuis la source Math-Net.Ru
Bäcklund transformations are constructed for the Bullof–Dodd–Giber–Shabat equation. Connection between the symmetries corresponding to the Bäcklund transformations and the reductions of integrable equations is investigated.
@article{TMF_1989_79_1_a14,
author = {V. A. Andreev},
title = {B\"acklund transformations of~the {Bullough{\textendash}Dodd{\textendash}Zhiber{\textendash}Shabat} equation and symmetries of~integrable equations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {151--154},
year = {1989},
volume = {79},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a14/}
}
TY - JOUR AU - V. A. Andreev TI - Bäcklund transformations of the Bullough–Dodd–Zhiber–Shabat equation and symmetries of integrable equations JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1989 SP - 151 EP - 154 VL - 79 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a14/ LA - ru ID - TMF_1989_79_1_a14 ER -
V. A. Andreev. Bäcklund transformations of the Bullough–Dodd–Zhiber–Shabat equation and symmetries of integrable equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 151-154. http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a14/
[1] Kolodzhero F., Degasperis A., Spektralnye preobrazovaniya i solitony, Mir, M., 1985 | MR
[2] Andreev V. A., TMF, 61:1 (1984), 29–34 | MR | Zbl
[3] Dodd R. K., Bullough R. K., Proc. Roy. Soc. London A, 352 (1977), 481 | DOI | MR
[4] Zhiber A. V., Shabat A. B., DAN SSSR, 247:5 (1979), 1103–1105 | MR
[5] Mikhailov A. V., Physica D, 1:2 (1981), 73–117 | DOI | Zbl
[6] Andreev V. A., TMF, 75:3 (1988), 340–352 | MR
[7] Popowicz Z., J. Phys. A: Math. Gen., 20:10 (1987), 2685–2691 | DOI | MR | Zbl