Theoretical and Mathematical Physics

, Volume 64, Issue 2, pp 797–801 | Cite as

Spatial dispersion of nonlinearity and stability of multidimensional solitons

  • S. K. Turitsyn


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Literature Cited

  1. 1.
    R. K. Bullough and P. J. Caudrey (eds), Solitons, Springer, Berlin (1980).Google Scholar
  2. 2.
    V. I. Karpman, Nonlinear Waves in Dispersive Media, [in Russian], Nauka, Moscow (1973).Google Scholar
  3. 3.
    A. A. Kolokolov and N. G. Vakhitov, Izv. Vyssh. Uchebn. Zaved. Radiofiz.,16, 1020 (1973).Google Scholar
  4. 4.
    V. G. Bar'yakhtar, A. G. Kvirikadze, and V. A. Popov, Zh. Eksp. Teor. Fiz.,59, 898 (1970).Google Scholar
  5. 5.
    A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Fiz. Plazmy, No. 1, 60 (1975).Google Scholar
  6. 6.
    G. E. Brown and A. D. Jackson, Nucleon-Nucleon Interactions [Russian translation], Atomizdat (1979).Google Scholar
  7. 7.
    T. Witten, Nucl. Phys. B,160, 57 (1979).Google Scholar
  8. 8.
    V. E. Zakharov and E. A. Kuznetsov, Zh. Eksp. Teor. Fiz.,66, 594 (1974).Google Scholar
  9. 9.
    E. W. Laedke and K. H. Spatschek, Phys. Fluids,23, 44 (1980).Google Scholar
  10. 10.
    K. A. Gorshkov, V. A. Mironov, and A. M. Sergeev, “Bound stationary soliton formations,” in: Nonlinear Waves. Self-Organization [in Russian], Nauka, Moscow (1983).Google Scholar
  11. 11.
    V. E. Zakharov, E. A. Kuznetsov, and A. M. Rubenchik, “Soliton stability”, Preprint No. 199, Institute of Automation and Electrometry, Novosibirsk (1983).Google Scholar
  12. 12.
    O. A. Ladyzhenskaya, Mathematical Problems in the Dynamics of Viscous Incompressible Fluids, Nauka, Moscow (1970).Google Scholar
  13. 13.
    A. A. Bogolyubskaya and I. L. Bogolyubskii, Teor. Mat. Fiz.,54, 258 (1983).Google Scholar
  14. 14.
    G. 't Hooft, Nucl. Phys. B,72, 461 (1974).Google Scholar
  15. 15.
    B. A. Ivanov and A. M. Kosevich, Fiz. Nizk. Temp.,9, 845 (1983).Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • S. K. Turitsyn

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