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@article{FAA_1988_22_3_a3, author = {I. M. Krichever}, title = {Method of averaging for two-dimensional ``integrable'' equations}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {37--52}, publisher = {mathdoc}, volume = {22}, number = {3}, year = {1988}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1988_22_3_a3/} }
I. M. Krichever. Method of averaging for two-dimensional ``integrable'' equations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 22 (1988) no. 3, pp. 37-52. http://geodesic.mathdoc.fr/item/FAA_1988_22_3_a3/
[1] Dobrokhotov S. Yu., Maslov V. P., “Konechnozonnye pochti-periodicheskie resheniya v VKB-priblizheniyakh”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 15, VINITI, M., 1980, 3–94 | MR
[2] Dobrokhotov S. Yu., Maslov V. P., “Multiphase asymptotics of nonlinear partial differential equations with a small parameter”, Soviet Scientific Reviews. Math. Phys. Reviews: OPA, Amsterdam, 3 (1982), 221–280 | MR
[3] Flaschka H., Forest M., McLaudhlin D., “The multiphase averaging and the inverse spectral solution of the Korteweg–de Vries equation”, Comm. Pure and Appl. Math., 33:6 (1980), 739–784 | DOI | MR | Zbl
[4] Dubrovin B. L., Novikov S. P., “Gamiltonov formalizm odnomernykh sistem gidrodinamicheskogo tipa i metod usredneniya Bogolyubova–Uizema”, DAN SSSR., 270:4 (1983), 781–785 | MR | Zbl
[5] Tsarev S. P., “O skobkakh Puassona i odnomernykh gamiltonovykh sistemakh gidrodinamicheskogo tipa”, DAN SSSR, 282:3 (1985), 534–537 | MR | Zbl
[6] Dubrovin B. A., Matveev V. B., Novikov S. P., “Nelineinye uravneniya tppa Kortevega–de Friza, konechnozonnye lineinye operatory i abelevy mnogoobraziya”, UMN, 31:1 (1976), 55–136 | MR | Zbl
[7] Zakharov V. E., Manakov S. V,, Novikov S. P., Pitaevskii L. P., Teoriya solitonov: metod obratnoi zadachi, Nauka, M., 1980 | MR
[8] Lax P. D., “Periodic solutions of Korteweg–de Vries equation”, Comm. Pure and Appl. Math., 28 (1975), 141–188 | DOI | MR | Zbl
[9] McKean H., Moerbeke P. van., “The spectrum of Hill's equation”, Invent. Math., 30:3 (1975), 217–274 | DOI | MR | Zbl
[10] Zakharov B. E., Shabat A. B., “Skhema integrirovaniya nelineinykh uravnenii matematicheskoi fiziki metodom obratnoi zadachi teorii rasseyaniya. 1”, Funktsion. analiz i ego pril., 8:3 (1974), 43–53 | MR
[11] Krichever I. M., “Algebro-geometricheskoe postroenie uravnenii Zakharova–Shabata i ikh periodicheskikh reshenii”, DAN SSSR, 227:2 (1976), 291–294 | MR | Zbl
[12] Krichever I. M., “Integrirovanie nelineinykh uravnenii metodami algebraicheskoi geometrii”, Funktsion. analiz i ego pril., 11:1 (1977), 15–31 | MR | Zbl
[13] Dubrovin B. A., “Teta-funktsii i nelineinye uravneniya”, UMN, 36:2 (1981), 11–80 | MR | Zbl
[14] Krichever I. M., “Metody algebraicheskoi geometrii v teorii nelineinykh uravnenii”, UMN, 32:6 (1977), 183–208 | MR | Zbl
[15] Krichever I. M., Novikov S. P., “Golomorfnye rassloeniya nad algebraicheskimi krivymi i nelineinye uravneniya”, UMN, 35:6 (1980), 47–68 | MR | Zbl
[16] Dubrovin V. A., Krichever I. M., Novikov S. R., “Topological and algebraic geometry methods on contemporary mathematical physic. II”, Soviet Scientific Reviews. Math. Phys. Reviews: OPA, Amsterdam, 3 (1982), 1–151 | MR
[17] Dubrovin B. A., Krichever I. M., Novikov S. P., “Integriruemye sistemy. I”, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 4, VINITI, M., 1985, 179–285 | MR | Zbl
[18] Gurevich A. V., Pitaevskii L. P., “Nestatsionarnaya struktura besstolknovitelnoi udarnoi volny”, ZhETF, 65 (1973), 590–604
[19] Krichever I. M., “Perpodicheskaya zadacha dlya uravneniya Kadomtseva–Petviashvili”, DAN SSSR, 298:4 (1988), 565–569
[20] Zverovich E. I., “Kraevye zadachi teorii analiticheskikh funktsii”, UMN, 26:1 (1971), 113–179 | MR | Zbl
[21] Cherednik I. V., “Ellipticheskie krivye i matrichnye solitonnye differentsialnye uravneniya”, Itogi nauki i tekhniki. Algebra. Geometriya. Topologiya, 22, VINITI AN SSSR, M., 1984, 205–265 | MR | Zbl
[22] Manakov S. V., “Metod obratnoi zadachi rasseyaniya i dvumernye evolyutsionnye uravneniya”, UMN, 31:5 (1976), 245–246 | MR | Zbl
[23] Veselov A. P., Novikov S. P., “Konechnozonnye dvumernye periodicheskie operatory Shredingera: yavnye formuly i evolyutsionnye uravneniya”, DAN SSSR, 279:1 (1984), 20–24 | MR | Zbl