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Bound quasiparticles scattering by point impurities in one-dimensional systems as a soliton problem

  • A. M. Kosevich
  • Yu. S. Kivshar
  • O. A. Chubykalo
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 285)

Keywords

Reflection Coefficient Born Approximation Soliton Amplitude Spectral Energy Density Point Impurity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J.B. McGuire: J. Math. Phys. 5, 622 (1964).CrossRefGoogle Scholar
  2. 2.
    F. Calogero and A. Degasperis: Phys. Rev. 11 A, 265 (1975).Google Scholar
  3. 3.
    A.S. Kovalev and A.M. Kosevich: Fiz. Nizk. Temp. 2, 913 (1976).Google Scholar
  4. 4.
    A.M. Kosevich, B.A. Ivanov and A.S. Kovalev: Nonlinear Magnetiza tion Waves. Dynamical and Topological Solitons (Naukova Dumka, Kiev, 1983) (in Russian).Google Scholar
  5. 5.
    V. Narayanamurti and C.M. Varma: Phys. Rev. Lett., 25, 1105 (1970).CrossRefGoogle Scholar
  6. 6.
    F.D. Tappertand C.M. Varma: Phys. Rev. Lett. 25, 1108 (1970).CrossRefGoogle Scholar
  7. 7.
    T. Sakuma and Y. Kawanami: Phys. Rev. 29B, 869, 880 (1984).Google Scholar
  8. 8.
    K.K. Likharev: Introduction in Dynamics of Josephson Junctions (Nauka, Moscow 1985), (in Russian)Google Scholar
  9. 9.
    A.M. Kosevich and A.S. Kovalev: Zh. Eksp. Teor. Fiz. 67, 1793 (1974).Google Scholar
  10. 10.
    V.E. Zakharov, S.V. Manakov, S.P. Novikov and L.P. Pitaevskii: Theory of Solitons (Nauka, Moscow, 1980).Google Scholar
  11. 11.
    V.I. Karpman and E.M. Maslov: Zh. Eksp. Teor. Fiz. 73, 537 (1977).Google Scholar
  12. 12.
    V.I. Karpman: Physica Scripta 20, 462 (1979).Google Scholar
  13. 13.
    A.M. Kosevich: Foundations of Crystal Lattice Mechanics (Nauka, Moscow, 1972) (in Russian).Google Scholar
  14. 14.
    Yu. S. Kivshar and B.A. Malomed: Phys. Letters 115 A, 377 (1986);J. Phys. 19A, L967 (1986); Physica 24D, in press (1986).Google Scholar
  15. 15.
    I.M. Lifshitz, S.A. Gredeskul and L.A. Pastur: Introduction in Theory of Random Systems (Nauka, Moscow, 1982 (in Russian.Google Scholar
  16. 16.
    T.H.R. Skyrme: Proc. R. Soc. 247 A, 260 (1958); 262 A 233(1961).Google Scholar
  17. 17.
    L.D. Faddeev and V.E. Korepin: Phys. Reports 42 C, 1 (1978).CrossRefGoogle Scholar
  18. 18.
    R. Rajaraman: Solitons and Instantons (North Holland Publishing Company, Amsterdam et al, 1982)Google Scholar
  19. 19.
    D.W. McLaughlin and A.C. Scott: Phys. Rev. 18 A, 1652 (1978).Google Scholar
  20. 20.
    D.J. Kaup and A.C. Newell: Proc. R. Soc. 361 A, 413 (1978).Google Scholar
  21. 21.
    Yu. S. Kivshar: On the Perturbation Theory for Sine-Gordon Equation Solitons (ILTP preprint No. 24–84, Kharkov, 1984 (in Russian)Google Scholar
  22. 22.
    A.C. Newe: J. Math. Phys., 19 1126 (1978).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • A. M. Kosevich
    • 1
  • Yu. S. Kivshar
    • 1
  • O. A. Chubykalo
    • 1
  1. 1.Institute for Low Temperature Physics and EngineeringKharkov-164USSR

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