Literature Cited
V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz.,118, 118 (1971).
M. V. Babich, A. I. Bobenko, and V. B. Matveev, Izv. Akad. Nauk SSSR, Ser. Mat.,49, 511 (1985).
A. R. Its and V. P. Kotlyarov, Dokl. Akad. Nauk SSSR, Ser. A, No. 11, 965 (1976).
Y. C. Ma and M. J. Ablowitz, Stud. Appl. Math.,65, 113 (1981).
M. A. Sall', Teor. Mat. Fiz.,53, 227 (1982).
N. N. Akhmediev and V. I. Korneev, Teor. Mat. Fiz.,69, 189 (1986).
N. N. Akhmediev, V. M. Eleonskii, and N. E. Kulagin, Zh. Eksp. Teor. Fiz.,89, 1542 (1985).
V. M. Eleonskii, N. E. Kulagin, and N. S. Novozhilova, Zh. Eksp. Teor. Fiz.,89, 2174 (1985).
N. N. Akhmediev, V. M. Eleonskii, and N. E. Kulagin, in: Methods of the Qualitative Theory of Differential Equations [in Russian], Gor'ki University, Gor'ki (1985), p. 18.
A. Érdelyi et al. (eds.), Higher Transcendental Functions (California Institute of Technology H. Bateman M. S. Project), Vol. 3, McGraw Hill, New York (1955).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw Hill, New York (1961).
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover (1964).
V. I. Vespalov and V. I. Talanov, Pis'ma Zh. Eksp. Teor. Fiz.,3, 471 (1966).
D. Anderson and M. Lisak, Optics Letters,9, 468 (1984).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 72, No. 2, pp. 183–196, August, 1987.
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Akhmediev, N.N., Eleonskii, V.M. & Kulagin, N.E. Exact first-order solutions of the nonlinear Schrödinger equation. Theor Math Phys 72, 809–818 (1987). https://doi.org/10.1007/BF01017105
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DOI: https://doi.org/10.1007/BF01017105