Geodesic
Invariant Integrability Criterion for Equations of Hydrodynamic Type
Funkcionalʹnyj analiz i ego priloženiâ, Tome 30 (1996) no. 1, pp. 18-29 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{FAA_1996_30_1_a1,
     author = {M. V. Pavlov and S. I. Svinolupov and R. A. Sharipov},
     title = {Invariant {Integrability} {Criterion} for {Equations} of {Hydrodynamic} {Type}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {18--29},
     year = {1996},
     volume = {30},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1996_30_1_a1/}
}
TY  - JOUR
AU  - M. V. Pavlov
AU  - S. I. Svinolupov
AU  - R. A. Sharipov
TI  - Invariant Integrability Criterion for Equations of Hydrodynamic Type
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1996
SP  - 18
EP  - 29
VL  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/FAA_1996_30_1_a1/
LA  - ru
ID  - FAA_1996_30_1_a1
ER  - 
%0 Journal Article
%A M. V. Pavlov
%A S. I. Svinolupov
%A R. A. Sharipov
%T Invariant Integrability Criterion for Equations of Hydrodynamic Type
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1996
%P 18-29
%V 30
%N 1
%U http://geodesic.mathdoc.fr/item/FAA_1996_30_1_a1/
%G ru
%F FAA_1996_30_1_a1
M. V. Pavlov; S. I. Svinolupov; R. A. Sharipov. Invariant Integrability Criterion for Equations of Hydrodynamic Type. Funkcionalʹnyj analiz i ego priloženiâ, Tome 30 (1996) no. 1, pp. 18-29. http://geodesic.mathdoc.fr/item/FAA_1996_30_1_a1/

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

[2] Tsarev S. P., “Geometriya gamiltonovykh sistem gidrodinamicheskogo tipa. Obobschennyi metod godografa”, Izv. AN SSSR, ser. matem., 54:5 (1990), 1048–1068 | MR | Zbl

[3] Haantjes A., “On $X_{n-1}$-forming sets of eigenvectors”, Indag. Math., 17:2 (1955), 158–162 | DOI | MR

[4] Ferapontov E. V., Tsarev S. P., “Sistemy gidrodinamicheskogo tipa, voznikayuschie v khromatografii. Invarianty Rimana i tochnye resheniya”, Matem. modelirovanie, 3:2 (1991), 82–91 | MR

[5] Nijenhuis A., “$X_{n-1}$-forming sets of eigenvectors”, Indag. Math., 13:2 (1951), 200–212 | DOI | MR | Zbl

[6] Froelicher A., Nijenhuis A., “Some new cohomology invariants for complex manifolds”, Proc. Koninkl. Nederl. Akad. Wetensch. A, 59:5 (1956), 540–564 | MR | Zbl

[7] Berezin F. A., Vvedenie v algebru i analiz s antikommutiruyuschimi peremennymi, Izd-vo MGU, M., 1983 | MR

[8] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, T. 1, Nauka, M., 1981 | MR