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Exact first-order solutions of the nonlinear Schrödinger equation

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Literature Cited

  1. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz.,118, 118 (1971).

    Google Scholar 

  2. M. V. Babich, A. I. Bobenko, and V. B. Matveev, Izv. Akad. Nauk SSSR, Ser. Mat.,49, 511 (1985).

    Google Scholar 

  3. A. R. Its and V. P. Kotlyarov, Dokl. Akad. Nauk SSSR, Ser. A, No. 11, 965 (1976).

    Google Scholar 

  4. Y. C. Ma and M. J. Ablowitz, Stud. Appl. Math.,65, 113 (1981).

    Google Scholar 

  5. M. A. Sall', Teor. Mat. Fiz.,53, 227 (1982).

    Google Scholar 

  6. N. N. Akhmediev and V. I. Korneev, Teor. Mat. Fiz.,69, 189 (1986).

    Google Scholar 

  7. N. N. Akhmediev, V. M. Eleonskii, and N. E. Kulagin, Zh. Eksp. Teor. Fiz.,89, 1542 (1985).

    Google Scholar 

  8. V. M. Eleonskii, N. E. Kulagin, and N. S. Novozhilova, Zh. Eksp. Teor. Fiz.,89, 2174 (1985).

    Google Scholar 

  9. 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.

    Google Scholar 

  10. A. Érdelyi et al. (eds.), Higher Transcendental Functions (California Institute of Technology H. Bateman M. S. Project), Vol. 3, McGraw Hill, New York (1955).

    Google Scholar 

  11. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw Hill, New York (1961).

    Google Scholar 

  12. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover (1964).

  13. V. I. Vespalov and V. I. Talanov, Pis'ma Zh. Eksp. Teor. Fiz.,3, 471 (1966).

    Google Scholar 

  14. D. Anderson and M. Lisak, Optics Letters,9, 468 (1984).

    Google Scholar 

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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

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