Geodesic
Modulation instability of solutions of the nonlinear Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 2, pp. 163-172 Cet article a éte moissonné depuis la source Math-Net.Ru

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Multiphase solutions that describe the modulation instability of spatially periodic solutions of the nonlinear Schrödinger equation are constructed. 
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     title = {Modulation instability of~solutions of~the nonlinear {Schr\"odinger} equation},
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G. L. Alfimov; A. R. Its; N. E. Kulagin. Modulation instability of solutions of the nonlinear Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 2, pp. 163-172. http://geodesic.mathdoc.fr/item/TMF_1990_84_2_a0/

[1] Akhmediev N. N., Eleonskii V. M., Kulagin V. E., ZhETF, 89:5(11) (1985), 1542–1551

[2] Its A. R., Rybin A. V., Sall M. A., TMF, 74:1 (1988), 29–45 | MR | Zbl

[3] Dubrovin B. A., Krichever I. M., Malanyuk T. G., Makhankov V. G., Exact solutions to a time depended Schrödinger equation with selfconsistent potential, Preprint E5-87-710, JINR, Dubna, 1987 | MR

[4] Its A. R., Kotlyarov V. P., Dokl. AN USSR. Ser. A, 1976, no. 11, 965–968 | MR | Zbl

[5] Its A. R., Vestn. LGU, Vyp. 2, 1976, no. 7, 39–46 | MR | Zbl

[6] Dubrovin B. A., Itogi nauki i tekhniki. Sovremennye problemy matematiki, 23, VINITI, M., 1983, 33–78 | MR | Zbl

[7] Its A. R., Problemy matematicheskoi fiziki, no. 10, LGU, L., 1983, 118–137 | MR

[8] Uitteker E. T., Vatson G. N., Kurs sovremennogo analiza, ch. II, Fizmatgiz, M., 1963

[9] Eleonskii V. M., Kulagin N. E., Novozhilova N. S., TMF, 65:3 (1985), 391–399 | MR

[10] Eleonskii V. M., Kulagin N. E., Lerman L. M., Umanskii Ya. L., Izv. vuzov. Radiofizika, 31:2 (1988), 149–163 | MR

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