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Oscillating weakly localized solutions of the Korteweg-de Vries equation

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Literature Cited

  1. V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, The Theory of Solitons. The Inverse Scattering Method [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  2. L. D. Faddeev, in: Modern Problems of Mathematics, Vol. 3 [in Russian], VINITI, Moscow (1974), pp. 93–180.

    Google Scholar 

  3. V. A. Marchenko, Sturm-Liouville Operators and Their Applications [in Russian], Naukova Dumka, Kiev (1977).

    Google Scholar 

  4. P. B. Abraham, B. Defacio, and H. E. Moses, “Two distinet local potentials with no bound states can have the same scattering operator,” Preprint, University of Lowell, Massachusetts (1982).

    Google Scholar 

  5. R. N. Davydov, The Theory of Functions. Functional Analysis, and Their Applications, Vol. 40 [in Russian], Vishcha Shkola, Khar'kov (1983), pp. 47–56.

    Google Scholar 

  6. I. M. Gel'fand and B. M. Levitan, Izv. Akad. Nauk SSSR, Ser. Mat.,15, 309 (1951).

    Google Scholar 

  7. V. M. Markyshevich and E. L. Reznikov, Computational Seismology, Vol. 17 [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  8. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 3, Academic Press, New York (1979).

    Google Scholar 

  9. I. M. Krichever, Zap. Nauchnykh Seminarov LOMI,84, 117 (1979).

    Google Scholar 

  10. V. A. Arkad'ev, A. K. Pogrebkov, and M. K. Polivanov, Zap. Nauchnykh Seminarov LOMI,133, 17 (1984).

    Google Scholar 

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Authors
  1. R. G. Novikov
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  2. G. M. Khenkin
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Additional information

State University, Moscow. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 61. No. 2, pp. 199–213, November, 1984.

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Novikov, R.G., Khenkin, G.M. Oscillating weakly localized solutions of the Korteweg-de Vries equation. Theor Math Phys 61, 1089–1099 (1984). https://doi.org/10.1007/BF01029110

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  • DOI: https://doi.org/10.1007/BF01029110

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