Real algebrogeometric solutions of the Landau--Lifshits equation in prym theta functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 19 (1985) no. 1, pp. 6-19.

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A. I. Bobenko. Real algebrogeometric solutions of the Landau--Lifshits equation in prym theta functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 19 (1985) no. 1, pp. 6-19. http://geodesic.mathdoc.fr/item/FAA_1985_19_1_a1/

[1] Sklyanin E.K., On complete integrability of the Landau–Lifshitz equation, Preprint LOMI, E-3-79, LOMI, Leningrad, 1979 | MR

[2] Mikhailov A.V., “The Landau–Lifshitz equation and the Riemann boundary problem on a torus”, Phys. Lett., 92A:2 (1982), 51–55 | DOI | MR

[3] Rodin Yu.L., “The Riemann boundary problem on a torus and the inverse scattering problem for the Landau–Lifshitz equation”, Lett. Math. Phys., 7 (1983), 3–8 | DOI | MR | Zbl

[4] Borisov A.B., “Mnogosolitonnye resheniya uravnenii neizotropnogo magnetika”, FMM, 55:2 (1983), 230–234

[5] Bobenko A.I., “Uravnenie Landau–Lifshitsa. Protsedura «odevaniya». Elementarnye vozbuzhdeniya”, Zap. nauch. sem. LOMI, 123, 1983, 58–66 | MR | Zbl

[6] Bikbaev R.F., Bobenko A.I., Its A.R., “O konechnozonnom integrirovanii uravneniya Landau–Lifshitsa”, DAN SSSR, 272:6 (1983), 1293–1298 | MR | Zbl

[7] 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

[8] Matveev V.B., Abelian functions and solutions, Preprint University of Wroclaw, no. 373, Wroclaw, 1976 | MR

[9] Dubrovin B.A., “Teta-funktsii i nelineinye uravneniya”, UMN, 36:2 (1981), 11–80 | MR | Zbl

[10] Zakharov V.E., Shabat A.B., “Integrirovanie nelineinykh uravnenii matematicheskoi fiziki metodom obratnoi zadachi rasseyaniya II”, Funkts. analiz, 13:3 (1979), 13–22 | MR | Zbl

[11] Its A.R., “Teorema Liuvillya i metod obratnoi zadachi”, Zap. nauch. sem. LOMI, 133, 1984, 113–125 | MR | Zbl

[12] Jimbo M., Miwa T., Ueno K., Monodromy preserving deformations of the linear differential equations with the rational coefficients I, Preprint RIMS. 319, RIMS, Kyoto, 1980 | MR

[13] Jimbo M., Miwa T., Monodromy preserving deformations of the linear differential equations with the rational coefficients II, Preprint RIMS. 327, RIMS, Kyoto, 1980 | MR

[14] Cherednik I.V., “O resheniyakh algebraicheskogo tipa asimmetrichnykh differentsialnykh uravnenii”, Funkts. analiz, 15:3 (1981), 93–94 | MR

[15] Cherednik I.V., “Integriruemye differentsialnye uravneniya i nakrytiya ellipticheskikh krivykh”, Izv. AN SSSR, ser. mat., 47:2 (1983), 384–406 | MR

[16] Date E., Jimbo M., Kashiwara M., Miwa T., Landau–Lifshitz equation: solutions, quasi-periodic solutions and infinite dimensional Lie algebras, Preprint RIMS. 395, RIMS, Kyoto, 1982 | MR

[17] Fay J., Theta-functions of Riemann surfaces, Lect. Notes Math., 352, 1973 | DOI | MR | Zbl

[18] Babich M.V., Bobenko A.I., Matveev V.B., “Reduktsii teta-funktsii Rimana roda $g$ k teta-funktsiyam mladshikh rodov i simmetrii algebraicheskikh krivykh”, DAN SSSR, 272:1 (1983), 13–17 | MR | Zbl

[19] Bikbaev R.F., Bobenko A.I., On finite-gap integration of the Landau–Lifshitz equation. XYZ case, Preprint LOMI. E-8-83, LOMI, Leningrad, 1983 | MR

[20] Dubrovin B.A., Natanzon S.M., “Veschestvennye dvukhzonnye resheniya uravneniya Sine-Gordon”, Funkts. analiz, 16:1 (1982), 27–43 | MR | Zbl

[21] Veselov A.P., “Uravnenie Landau–Lifshitsa i integriruemye sistemy klassicheskoi mekhaniki”, DAN SSSR, 270:5 (1983), 1094–1097 | MR

[22] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. 3, Nauka, M., 1967 | MR

[23] Steklov V.A., O dvizhenii tverdogo tela v zhidkosti, Kharkov, 1893

[24] Kötter F., “Über die Bewegung eines festen Korpers in einer Flussigkeit I, II”, J. Reine und Angew. Math., 1892, no. 109, 51–81 ; 89–111 | DOI | MR

[25] Bogdan M.M., Nelineinye samolokalizovannye vozbuzhdeniya v odnomernykh kristallakh, Avtoref. dis. ... na soisk. uch. st. k-ta fiz.-mat. nauk, FTINT, Kharkov, 1983

[26] Cherednik I.V., “Ob integriruemosti uravnenii dvumernogo asimmetrichnogo kiralnogo $O(3)$-polya i ego kvaktovogo analoga”, Yadernaya fizika, 33:1 (1981), 278–282