Differential geometry of strongly integrable systems of hydrodynamic type
Funkcionalʹnyj analiz i ego priloženiâ, Tome 24 (1990) no. 4, pp. 25-30.

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

@article{FAA_1990_24_4_a2,
     author = {B. A. Dubrovin},
     title = {Differential geometry of strongly integrable systems of hydrodynamic type},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {25--30},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1990_24_4_a2/}
}
TY  - JOUR
AU  - B. A. Dubrovin
TI  - Differential geometry of strongly integrable systems of hydrodynamic type
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1990
SP  - 25
EP  - 30
VL  - 24
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1990_24_4_a2/
LA  - ru
ID  - FAA_1990_24_4_a2
ER  - 
%0 Journal Article
%A B. A. Dubrovin
%T Differential geometry of strongly integrable systems of hydrodynamic type
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1990
%P 25-30
%V 24
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1990_24_4_a2/
%G ru
%F FAA_1990_24_4_a2
B. A. Dubrovin. Differential geometry of strongly integrable systems of hydrodynamic type. Funkcionalʹnyj analiz i ego priloženiâ, Tome 24 (1990) no. 4, pp. 25-30. http://geodesic.mathdoc.fr/item/FAA_1990_24_4_a2/

[1] Novikov S.P., “Geometriya konservativnykh sistem gidrodinamicheskogo tipa. Metod usredneniya dlya teoretiko-polevykh sistem”, UMN, 40:4 (1985), 79–89 | MR

[2] 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

[3] Tsarev S.P., “O skobkakh Puassona i odnomernykh gamiltonovykh sistemakh gidrodinamicheskogo tipa”, DAN SSSR, 282:3 (1985), 534–537 | MR | Zbl

[4] Dubrovin B.A., Novikov S.P., “Gidrodinamika slabo deformirovannykh solitonnykh reshetok. Differentsialnaya geometriya i gamiltonova teoriya”, UMN, 44:6 (1989), 29–98 | MR | Zbl

[5] Krichever I.M., “Metod usredneniya dlya dvumernykh uravnenii”, Funktsion. analiz i ego pril., 22:3 (1988), 37–52 | MR | Zbl

[6] Pavlov M.V., “Gamiltonov formalizm slabonelineinykh uravnenii gidrodinamiki”, Teoret. i mat. fizika, 71:3 (1987), 351–356 | MR | Zbl

[7] Darhoux G., Leçons sur les systemes ortogonaux et les coordonnees curvilignes, Paris, 1897 | MR

[8] Egorov D.F., “Ob odnom klasse ortogonalnykh sistem”, Uch. zap. Mosk. un-ta. Otd. fiz.-mat., 18 (1901), 1–239

[9] Tsarev S.N., “Geometriya gamiltonovykh sistem gidrodinamicheskogo tipa. Obobschennyi metod godografa”, Izv. AN SSSR. Ser. mat., 54:5 (1990), 1048–1068 | MR | Zbl

[10] Serre D., Systemes hyperboliques riches de lois de conservations, Preprint \char242 74, Ecole Norm. Super de Lyon, 1988 | MR

[11] Dubrovin B.A., “Vpolne integriruemye gamiltonovy sistemy, svyazannye s matrichnymi operatorami, i abelevy mnogoobraziya”, Funktsion. analiz i ego pril., 11:4 (1977), 28–41 | MR | Zbl

[12] Teoriya solitonov: metod obratnoi zadachi, Pod red. S.P. Novikova, Nauka, M., 1980. | MR

[13] Dubrovin B.A., “Matrichnye konechnozonnye operatory”, Sovremennye problemy matematiki, 23, VINITI, M., 1983, 33–78 | MR

[14] Dubrovin B.A., “Teoriya operatorov i veschestvennaya algebraicheskaya geometriya”, Globalnyi analiz i matematicheskaya fizika, Izd-vo VGU, Voronezh, 1987, 42–59

[15] Zhivkov A., “Geometriya invariantnykh mnogoobrazii volchka v pole kvadratichnogo potentsiala”, Izv. AN SSSR. Ser. matem., 54:4 (1990), 879–893 | MR | Zbl

[16] Krichever I.M., “Avtomodelnye resheniya uravnenii tipa Kortevega–de Friza”, Funktsion. analiz i ego pril., 14:3 (1980), 83–84 | MR | Zbl

[17] Fokas A.S., Leo R.A., Martina L., Soliani G., Fhys. Lett. A., 115A:7 (1986), 329–332 | DOI | MR

[18] Lukashevich H.A., Yablonskii A.I., “06 odnom klasse reshenii shestogo uravneniya Penleve”, Differents. uravneniya, 3:3 (1967), 520–523 | MR | Zbl