Literature Cited
S. P. Novikov, in: R. K. Bullough and P. J. Caudrey (eds), Solitons, Springer, Berlin (1980). (The reference is to pp. 348–362 of the Russian translation published by Mir, Moscow (1983).
A. R. Its and V. P. Kotlyarov, Dokl. Akad. Nauk Uzb. SSR, Ser. A, No. 11, 965 (1976).
M. V. Babich, A. I. Bobenko, and V. B. Mateev Izv. Akad. Nauk SSSR, Ser. Mat.,49, 511 (1985).
Y. C. Ma and M. J. Ablowitz, Stud. Appl. Math.,65, 113 (1981).
E. R. Tracy, H. H. Chen, and Y. C. Lee, Phys. Rev. Lett.,53, 218 (1984).
A. Hasegawa, Opt. Lett.,9, 288 (1984).
D. Anderson and M. Lisak, Opt. Lett.,9, 468 (1984).
V. I. Bespalov and V. I. Talanov, Pis'ma Zh. Eksp. Teor. Fiz.,3, 471 (1966).
L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media [in Russian], Nauka, Mir (1982). (English translation of earlier edition published by Pergamon Press, Oxford (1960).)
H. C. Yuen and B. Lake, in: Solitons in Action (Proc. of a Workshop, Redstone Arsenal, 1977, eds K. Longren and A. Scott), United States Army Research Office, Durham, Math. Div., New York (1978).
H. C. Yuen and W. E. Ferguson, Phys. Fluids,21, 1275 (1978).
N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuz'menko, Zh. Eksp. Teor. Fiz.,88, 107 (1985).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 69, No. 2, pp. 189–194, November, 1986.
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Akhmediev, N.N., Korneev, V.I. Modulation instability and periodic solutions of the nonlinear Schrödinger equation. Theor Math Phys 69, 1089–1093 (1986). https://doi.org/10.1007/BF01037866
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DOI: https://doi.org/10.1007/BF01037866