Theoretical and Mathematical Physics

, Volume 28, Issue 1, pp 615–620 | Cite as

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

  • P. P. Kulish
  • S. V. Manakov
  • L. D. Faddeev
Article

Keywords

Exact Quantum Quasiclassical Result 

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Literature Cited

  1. 1.
    C. Gardner, J. Green, M. Kruskal, and R. Miura, Phys. Rev. Lett.,19, 1095 (1967).Google Scholar
  2. 2.
    P. D. Lax, Commun. Pure and Appl. Math.,21, 467 (1968).Google Scholar
  3. 3.
    V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz.,61, 118 (1971).Google Scholar
  4. 4.
    V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz.,64, 1627 (1973).Google Scholar
  5. 5.
    M. Y. Ablowitz, D. Y. Kaup, A. C. Newel, and H. Segur, Phys. Rev. Lett.,30, 1262 (1973).Google Scholar
  6. 6.
    V. E. Zakharov, L. A. Takhtadzhyan, and L. D. Faddeev, Dokl. Akad. Nauk SSSR,219, 1334 (1974).Google Scholar
  7. 7.
    V. E. Zakharov and L. D. Faddeev, Funktsional. Analiz i Ego Prilozhen.,5, No. 4, 18 (1971).Google Scholar
  8. 8.
    V. E. Zakharov and S. V. Manakov, Teor. Mat. Fiz.,19, 332 (1974).Google Scholar
  9. 9.
    L. A. Takhtadzhyan and L. D. Faddeev, Teor. Mat. Fiz.,21, 160 (1974).Google Scholar
  10. 10.
    F. A. Berezin, G. P. Pokhil, and V. M. Finkel'berg, Vestn. MGU, Ser. 1, No. 1, 21 (1964).Google Scholar
  11. 11.
    J. B. McGuire, J. Math. Phys.,5, 622 (1964).Google Scholar
  12. 12.
    E. H. Lieb and W. Liniger, Phys. Rev.,130, 1605 (1963).Google Scholar
  13. 13.
    E. H. Lieb, Phys. Rev.,130, 1616 (1963).Google Scholar
  14. 14.
    Yu. S. Tyupkin, V. A. Fateev, and A. S. Shvarts, Yad. Fiz.,22, 622 (1975).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • P. P. Kulish
  • S. V. Manakov
  • L. D. Faddeev

There are no affiliations available

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