Geodesic
Integration of Hamiltonian systems of hydrodynamic type with two dependent variables with the aid of the Lie--B\"acklund group
Funkcionalʹnyj analiz i ego priloženiâ, Tome 20 (1986) no. 3, pp. 70-79.

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

@article{FAA_1986_20_3_a6,
     author = {M. B. Sheftel},
     title = {Integration of {Hamiltonian} systems of hydrodynamic type with two dependent variables with the aid of the {Lie--B\"acklund} group},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {70--79},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1986_20_3_a6/}
}
TY  - JOUR
AU  - M. B. Sheftel
TI  - Integration of Hamiltonian systems of hydrodynamic type with two dependent variables with the aid of the Lie--B\"acklund group
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1986
SP  - 70
EP  - 79
VL  - 20
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1986_20_3_a6/
LA  - ru
ID  - FAA_1986_20_3_a6
ER  - 
%0 Journal Article
%A M. B. Sheftel
%T Integration of Hamiltonian systems of hydrodynamic type with two dependent variables with the aid of the Lie--B\"acklund group
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1986
%P 70-79
%V 20
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1986_20_3_a6/
%G ru
%F FAA_1986_20_3_a6
M. B. Sheftel. Integration of Hamiltonian systems of hydrodynamic type with two dependent variables with the aid of the Lie--B\"acklund group. Funkcionalʹnyj analiz i ego priloženiâ, Tome 20 (1986) no. 3, pp. 70-79. http://geodesic.mathdoc.fr/item/FAA_1986_20_3_a6/

[1] Teoriya solitonov, ed. S.P. Novikov, Nauka, M., 1980 | MR

[2] Manin Yu.I., “Algebraicheskie aspekty nelineinykh differentsialnykh uravnenii”, Sovremennye problemy matematiki (Itogi nauki i tekhniki), 11, VINITI AN SSSR, M., 1978, 5–152 | MR

[3] Ibragimov N.X., Gruppy preobrazovanii v matematicheskoi fizike, Nauka, M., 1983 | MR

[4] Ibragimov N.X., Shabat A.B., “Evolyutsionnye uravneniya s netrivialnoi gruppoi Li–Beklunda”, Funktsion. analiz i ego pril., 14:1 (1980), 25–36 | MR | Zbl

[5] Dubrovin B.A., Novikov S.P., “Gamiltonov formalizm odnomernykh sistem gidrodinamicheskogo tipa i metod usredneniya Bogolyubova–Uizema”, DAN SSSR, 270:4 (1983), 781–785 | MR | Zbl

[6] Sheftel M.B., “O beskonechnomernoi nekommutativnoi algebre Li–Beklunda, svyazannoi s uravneniyami odnomernoi gazovoi dinamiki”, TMF, 56:3 (1983), 368–386 | MR | Zbl

[7] Ibragimov N.X., “K teorii grupp preobrazovanii Li–Beklunda”, Matem. sb., 109(151):2(6) (1979), 229–253 | MR | Zbl

[8] Rozhdestvenskii B.L., Yanenko N.N., Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1978 | MR