Whitham Deformations of Top-Like Integrable Dynamical Systems
Funkcionalʹnyj analiz i ego priloženiâ, Tome 27 (1993) no. 2, pp. 50-62.

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V. Yu. Novokshenov. Whitham Deformations of Top-Like Integrable Dynamical Systems. Funkcionalʹnyj analiz i ego priloženiâ, Tome 27 (1993) no. 2, pp. 50-62. http://geodesic.mathdoc.fr/item/FAA_1993_27_2_a3/

[1] Dubrovin B. A., Matveev V. B., Novikov S. P., “Nelineinye uravneniya tipa Kortevega–de Friza, konechnozonnye lineinye operatory i abelevy mnogoobraziya”, UMN, 31:1 (1976), 55–136 | MR | Zbl

[2] Dubrovin B. A., Krichever I. M., Novikov S. P., “Integriruemye sistemy, 1”, Sovremennye problemy matematiki. Fundamentalnye napravleniya, 4, VINITI, M., 1985, 179–284 | MR

[3] Manakov S. V., “Zamechanie ob integrirovanii uravnenii Eilera dinamiki $n$-mernogo tverdogo tela”, Funkts. analiz i ego pril., 10:4 (1976), 93–94 | MR | Zbl

[4] Bobenko A. I., Reyman A. G., Semenov-Tian-Shansky M. A., “The Kovalewski top 99 years later: A Lax pair, generalizations and explicit solutions”, Comm. Math. Phys., 122 (1989), 321–354 | DOI | MR

[5] Flaschka H., Forest M. G., McLaughlin D., “Multiphase averaging and the inverse scattering solutions of KdV”, Comm. Pure Appl. Math., 33:6 (1980), 739–784 | DOI | MR | Zbl

[6] Bobenko A. I., Integrirovanie klassicheskikh volchkov metodom obratnoi zadachi, Preprint LOMI, P–10–87, Leningrad, 1987

[7] Fay J. D., Theta functions on Riemann surfaces, Lecture Notes in Math., 352, Springer-Verlag, NY, 1973 | DOI | MR | Zbl

[8] Bikbaev R. F., Novokshenov V. Yu., “Self-similar solutions of the Whitham equations and KdV equation with finite-gap boundary conditions”, Proc. III Intern. Kiev Workshop, 1, Kiev, 1988, 32–35 | MR

[9] Levermore C. D., “Hyperbolic structure of the KdV zero dispersion limit”, Comm. Partial Diff. Equat., 13:4 (1988), 495–511 | DOI | MR

[10] Bikbaev R. F., “Perestroika Uizema i vremennaya asimptotika resheniya nelineinogo uravneniya Shredingera s konechnozonnym povedeniem pri $x\to\pm\infty$”, Algebra i analiz, 2:3 (1990), 131–143 | MR

[11] Novikov S. P., “Kvantovanie konechnozonnykh potentsialov i nelineinaya kvaziklassika, voznikayuschie v neperturbativnoi teorii strun”, Funkts. analiz i ego pril., 24:4 (1990), 43–53 | MR | Zbl

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

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

[14] Tsarev S. P., “Skobki Puassona i odnomernye sistemy gidrodinamicheskogo tipa”, Doklady AN SSSR, 282:3 (1985), 534–537 | MR | Zbl