Geodesic
On Whitham's Averaging Method
Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 1, pp. 7-24.

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

@article{FAA_1995_29_1_a1,
     author = {A. Ya. Maltsev and M. V. Pavlov},
     title = {On {Whitham's} {Averaging} {Method}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {7--24},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1995_29_1_a1/}
}
TY  - JOUR
AU  - A. Ya. Maltsev
AU  - M. V. Pavlov
TI  - On Whitham's Averaging Method
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1995
SP  - 7
EP  - 24
VL  - 29
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1995_29_1_a1/
LA  - ru
ID  - FAA_1995_29_1_a1
ER  - 
%0 Journal Article
%A A. Ya. Maltsev
%A M. V. Pavlov
%T On Whitham's Averaging Method
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1995
%P 7-24
%V 29
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1995_29_1_a1/
%G ru
%F FAA_1995_29_1_a1
A. Ya. Maltsev; M. V. Pavlov. On Whitham's Averaging Method. Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 1, pp. 7-24. http://geodesic.mathdoc.fr/item/FAA_1995_29_1_a1/

[1] Uizem Dzh., Lineinye i nelineinye volny, Mir, M., 1977

[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] Dubrovin B. A., Novikov S. P., “Gidrodinamika slabo deformirovannykh solitonnykh reshetok. Differentsialnaya geometriya i gamiltonova teoriya”, UMN, 44:6(270) (1989), 29–98 | MR | Zbl

[4] Novikov S. P., Maltsev A. Ya., “Liuvilleva forma usrednennykh skobok Puassona”, UMN, 48:1(289) (1993), 155–156 | MR | Zbl

[5] Pavlov M. V., “Gamiltonova struktura uravnenii Uizema”, UMN, 49:1(295) (1994), 219–220 | MR | Zbl

[6] Pavlov M. V., “Dvoinoe lagranzhevo predstavlenie KdF”, Dokl. RAN, 339:2 (1994), 157–161 | MR | Zbl

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

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

[9] Krichever I. M., “Spektralnaya teoriya dvumernykh operatorov i ee prilozheniya”, UMN, 44:2 (1989), 121–184 | MR | Zbl

[10] Ablowitz M. J., Benney D. J., “The evolution of multiphase modes for nonlinear dispersive waves”, Stud. Appl. Math., 49:3 (1970), 225–238 | DOI | MR | Zbl

[11] Hayes W. D., “Group velocity and nonlinear dispersive wave propagation”, Proc. Roy. Soc. London, 332 (1973), 199–221 | DOI | MR | Zbl

[12] Flaschka H., Forest M. G., McLaughlin D. W., “Multiphase averaging and the inverse spectral solution of the Korteweg–de Vries equation”, Comm. Pure Appl. Math., 33:6 (1980), 739–784 | DOI | MR | Zbl

[13] Luke J. C., “A perturbation method for nonlinear dispersive wave problems”, Proc. Roy. Soc. London Ser. A, 292:1430 (1966), 403–412 | DOI | MR | Zbl

[14] S. Yu. Dobrokhotov, V. P. Maslov, “Konechnozonnye pochti periodicheskie resheniya v VKB-priblizheniyakh”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 15, VINITI, M., 1980, 3–94