Geodesic
Elliptic in $t$ solutions of the nonlinear Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 188-200 Cet article a éte moissonné depuis la source Math-Net.Ru

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Four various ansatz of the Krichever curves for the elliptic in $t$ solutions of the nonlinear Schrödinger equation are considered. An example is given. 
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A. O. Smirnov. Elliptic in $t$ solutions of the nonlinear Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 188-200. http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a1/

[1] Zakharov V. E., Manakov S. V., Novikov S. P., Pitaevskii L. P., Teoriya solitonov: metod obratnoi zadachi, Nauka, M., 1980 | MR

[2] Takhtadzhyan L. A., Faddeev L. D., Gamiltonov podkhod v teorii solitonov, Nauka, M., 1986 | MR | Zbl

[3] Kalodzhero F., Degasperis A., Spektralnye preobrazovaniya i solitony, Mir, M., 1985 | MR

[4] Ablovits M., Sigur Kh., Solitony i metod obratnoi zadachi, Mir, M., 1987 | MR

[5] Dodd R., Eilbek Dzh., Gibbon Dzh., Morris Kh., Solitony i nelineinye volnovye uravneniya, Mir, M., 1988 | MR

[6] Nyuell A., Solitony v matematike i fizike, Mir, M., 1989 | MR

[7] Dubrovin B. A., Novikov S. P., ZhETF, 67:12 (1974), 2131–2143 | MR

[8] Airault H., McKean H. P., Moser J., Commun. Pure Appl. Math., 30 (1977), 95–148 | DOI | MR | Zbl

[9] Krichever I. M., Funkts. analiz i ego prilozh., 14:4 (1980), 45–54 | MR | Zbl

[10] Belokolos E. D., Enolskii V. Z., TMF, 53:2 (1982), 271–282 | MR | Zbl

[11] Babich M. V., Bobenko A. I., Matveev V. B., Izv. AN SSSR, ser. matem., 49:3 (1985), 511–529 | MR | Zbl

[12] Belokolos E. D., Bobenko A. I., Matveev V. B., Enolskii V. Z., UMN, 41:2 (1986), 3–42 | MR | Zbl

[13] Verdier J. -L., Algebraic Analysis, Micio Sato Sixtieth Birthday Vol., V. II, Academic Press, 1988, 901–910 | DOI | MR

[14] Treibich A., Duke Math. J., 59:3 (1989), 611–627 | DOI | MR | Zbl

[15] Treibich A., Verdier J.-L., Solitons elliptiques, Volume en l'honneur du $60^e$ anniversaire du prof. A. Grothendieck, Birkhäuser, Boston, 1990 | MR | Zbl

[16] Belokolos E. D., Enolskii V. Z., UMN, 44:5 (1989), 155–156 | MR | Zbl

[17] Belokolos E. D., Enolskii V. Z., Funkts. analiz i ego prilozh., 23:1 (1989), 57–58 | MR | Zbl

[18] Smirnov A. O., Mat. zametki, 46:5 (1989), 100–102 | MR | Zbl

[19] Smirnov A. O., Mat. zametki, 45:6 (1989), 66–73 | MR | Zbl

[20] Taimanov I. A., TMF, 84:1 (1990), 38–45 | MR | Zbl

[21] Smirnov A. O., TMF, 100:2 (1994), 183–198 | MR | Zbl

[22] Smirnov A. O., Acta Appl. Math., 36 (1994), 125–166 | DOI | MR | Zbl

[23] Krichever I. M., UMN, 33:4 (1978), 215–216 | MR | Zbl

[24] Krichever I. M., UMN, 36:2 (1981), 79–80 | MR

[25] Smirnov A. O., TMF, 78:1 (1989), 11–21 | MR

[26] Smirnov A. O., Mat. sbornik, 185:8 (1994), 103–114 | Zbl

[27] Bobenko A. I., Funkts. analiz i ego prilozh., 18:3 (1984), 73–74 | MR | Zbl

[28] Smirnov A. O., Mat. sbornik, 181:6 (1990), 804–812 | Zbl

[29] Smirnov A. O., Voprosy kvantovoi teorii polya i statisticheskoi fiziki, Zap. nauchn. semin. POMI, 205, Nauka, S.-Pb., 1993

[30] Its A. R., Vestn. LGU, ser. mat.-mekh.-astr., 1976, no. 7(2), 39–46 | MR | Zbl

[31] Its A. R., Tochnoe integrirovanie v rimanovykh $\Theta$-funktsiyakh nelineinogo uravneniya Shredingera i modifitsirovannogo uravneniya Kortevega–de Friza, Dis. ...kand. fiz. -matem. nauk, LGU, L., 1977

[32] Its A. R., Kotlyarov V. P., DAN USSR, ser. A, 1976, no. 11, 965–968 | Zbl

[33] Matveev V. B., Abelian functions and solitons, Preprint No 373, Univ. of Wrocław, 1976

[34] Its A. R., Izv. AN SSSR, ser. matem., 49:3 (1985), 530–565 | MR | Zbl

[35] Krazer A., Lehrbuch der Thetafunktionen, Teubner, Leipzig, 1903 | MR | Zbl

[36] Akhiezer N. I., Elementy teorii ellipticheskikh funktsii, Nauka, M., 1970 | MR | Zbl