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Influence of a double continuous spectrum of the Dirac operator on the asymptotic solitons of a nonlinear Schrödinger equation

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Literature cited

  1. V. P. Kotlyarov and E. Ya. Khruslov, “On the solitons of the nonlinear Schrödinger equation, generated by the continuous spectrum” Teor. Mat. Fiz.,68, No. 2, 172–186 (1986).

    Google Scholar 

  2. A. R. Its, The method of isomonodromic deformations in the theory of completely integrable nonlinear evolution systems. Doctoral dissertation, Leningrad State Univ., Leningrad (1986).

    Google Scholar 

  3. V. Yu. Novokshenov, “Asymptotic behavior as t → ∞ of the solution of the Cauchy problem for a nonlinear Schrödinger equation,” Dokl. Akad. Nauk SSSR,251, No. 4, 799–802 (1980).

    Google Scholar 

  4. E. Ya. Khruslov, “Asymptotic behavior of the solution of the Cauchy problem for the Korteweg-de Vries equation with steplike initial data,” Mat. Sb.,99 (141), No. 2, 261–281 (1976).

    Google Scholar 

  5. V. P. Kotlyarov and E. Ya. Khruslov, “Asymptotic solitons of the modified Kortewegde Vries equation,” Inverse Problems,5, No. 5, 1075–1088 (1989).

    Google Scholar 

  6. V. E. Zakharov and A. V. Mikhailov, “Relativistically invariant two-dimensional models of field theory which are integrable by the inverse problem method,” Zh. Éksp. Teor. Fiz.,74, No. 6, 1953–1973 (1978).

    Google Scholar 

  7. M. Reed and B. Simon, Methods of Modern Mathematical Physics. I. Functional Analysis, Academic Press, New York (1972).

    Google Scholar 

  8. S. V. Manakov, “The nonlinear Fraunhofer diffraction,” Zh. Éksp. Teor. Fiz.,65, 1392–1403 (1973).

    Google Scholar 

  9. R. F. Bikbaev, “On the asymptotic behavior as t → ∞ of the solution of the Cauchy problem for the Landau-Lifshits equation,” Teor. Mat. Fiz.,77, No. 2, 163–170 (1988).

    Google Scholar 

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Authors and Affiliations

  1. Physical-Technical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Ukraine

    V. P. Kotlyarov

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  1. V. P. Kotlyarov
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Translated from Matematicheskie Zametki, Vol. 49, No. 2, pp. 84–94, February, 1991.

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Kotlyarov, V.P. Influence of a double continuous spectrum of the Dirac operator on the asymptotic solitons of a nonlinear Schrödinger equation. Mathematical Notes of the Academy of Sciences of the USSR 49, 172–180 (1991). https://doi.org/10.1007/BF01137548

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  • DOI: https://doi.org/10.1007/BF01137548

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