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Comparison of the exact quantum and quasiclassical results for a nonlinear Schrödinger equation

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Literature Cited

  1. C. Gardner, J. Green, M. Kruskal, and R. Miura, Phys. Rev. Lett.,19, 1095 (1967).

    Google Scholar 

  2. P. D. Lax, Commun. Pure and Appl. Math.,21, 467 (1968).

    Google Scholar 

  3. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz.,61, 118 (1971).

    Google Scholar 

  4. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz.,64, 1627 (1973).

    Google Scholar 

  5. M. Y. Ablowitz, D. Y. Kaup, A. C. Newel, and H. Segur, Phys. Rev. Lett.,30, 1262 (1973).

    Google Scholar 

  6. V. E. Zakharov, L. A. Takhtadzhyan, and L. D. Faddeev, Dokl. Akad. Nauk SSSR,219, 1334 (1974).

    Google Scholar 

  7. V. E. Zakharov and L. D. Faddeev, Funktsional. Analiz i Ego Prilozhen.,5, No. 4, 18 (1971).

    Google Scholar 

  8. V. E. Zakharov and S. V. Manakov, Teor. Mat. Fiz.,19, 332 (1974).

    Google Scholar 

  9. L. A. Takhtadzhyan and L. D. Faddeev, Teor. Mat. Fiz.,21, 160 (1974).

    Google Scholar 

  10. F. A. Berezin, G. P. Pokhil, and V. M. Finkel'berg, Vestn. MGU, Ser. 1, No. 1, 21 (1964).

    Google Scholar 

  11. J. B. McGuire, J. Math. Phys.,5, 622 (1964).

    Google Scholar 

  12. E. H. Lieb and W. Liniger, Phys. Rev.,130, 1605 (1963).

    Google Scholar 

  13. E. H. Lieb, Phys. Rev.,130, 1616 (1963).

    Google Scholar 

  14. Yu. S. Tyupkin, V. A. Fateev, and A. S. Shvarts, Yad. Fiz.,22, 622 (1975).

    Google Scholar 

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Authors
  1. P. P. Kulish
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  2. S. V. Manakov
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  3. L. D. Faddeev
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Additional information

Leningrad Branch, V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 28, No. 1, pp. 38–45, July, 1976.

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Kulish, P.P., Manakov, S.V. & Faddeev, L.D. Comparison of the exact quantum and quasiclassical results for a nonlinear Schrödinger equation. Theor Math Phys 28, 615–620 (1976). https://doi.org/10.1007/BF01028912

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  • DOI: https://doi.org/10.1007/BF01028912

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