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Long-range interaction of four-vector field solitons of Minkowski space

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Abstract

The interaction of solitons of a system of nonlinear equations at distances greatly exceeding their characteristic dimensions is studied by perturbation methods. The slow modulation of soliton parameters under the influence of a small perturbing field of distant solitons is considered. It is shown that the equation of the soliton trajectory in the first and second orders of the method has the form of the classical equation of motion of a particle in electromagnetic and gravitational (in the sense of the bimetric theory) fields.

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References

  1. K. A. Gorshkov, L. A. Ostrovskii, and V. V. Panko,Zh. Eksp. Teor. Fiz. 71, 585 (1976).

    Google Scholar 

  2. G. Mie,Ann. Phys. (Leipzig),37, 511, (1912);39, 1 (1912);40, 1 (1913).

    Google Scholar 

  3. A. Scott,Nonlinear Electromagnetic Waves [Russian translation], Mir, Moscow (1983).

    Google Scholar 

  4. A. Sommerfeld,Electrodynamics [Russian translation], IL, Moscow (1953).

    Google Scholar 

  5. L. D. Faddeev, in:Nonlocal, Nonlinear, and Nonrenormalizable Field Theories.Proceedings of Fourth International Symposium on Nonlocal Field Theories (April 20–28, 1976, Alushta), Preprint D2-9788 [in Russian], JINR, Dubna (1976), p. 207.

    Google Scholar 

  6. D. McLaughlin and A. Scott, in:Solitons in Action (Proc. of a Workshop, Redstone Arsenal, 1977, eds. K. Longren and A. Scott), United States Army Research Office, Durham, Math. Div., New York (1978).

    Google Scholar 

  7. V. Hutson and J. S. Pym,Applications of Functional Analysis and Operator Theory, Academic Press, New York (1980).

    Google Scholar 

  8. G. Treder,Theory of Gravitation and the Equivalence Principle [Russian translation], Atomizdat, Moscow (1973).

    Google Scholar 

  9. A. A. Logunov and M. A. Mestvirishvili,The Relativistic Theory of Gravitation [in Russian], Nauka, Moscow (1989).

    Google Scholar 

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Authors
  1. A. A. Chernitskii
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Additional information

Electrotechnical Institute, Leningrad. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 90, No. 3, pp. 380–387, March, 1992.

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Chernitskii, A.A. Long-range interaction of four-vector field solitons of Minkowski space. Theor Math Phys 90, 260–264 (1992). https://doi.org/10.1007/BF01036531

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  • DOI: https://doi.org/10.1007/BF01036531

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