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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 3, Pages 380–387 (Mi tmf5549)  
This article is cited in 4 scientific papers (total in 4 papers)

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

A. A. Chernitskii

Leningrad Institute for Electricity and Communications
Full-text PDF (643 kB) Citations (4)
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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 bimetrie theory) fields.
Received: 14.05.1990
English version:
Theoretical and Mathematical Physics, 1992, Volume 90, Issue 3, Pages 260–264
DOI: https://doi.org/10.1007/BF01036531
Bibliographic databases:
Language: Russian
Citation: A. A. Chernitskii, “Long-range interaction of four-vector field solitons of Minkowski space”, TMF, 90:3 (1992), 380–387; Theoret. and Math. Phys., 90:3 (1992), 260–264
Citation in format AMSBIB
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\by A.~A.~Chernitskii
\paper Long-range interaction of four-vector field solitons of Minkowski space
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\vol 90
\issue 3
\pages 380--387
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182304}
\zmath{https://zbmath.org/?q=an:0799.35190}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 90
\issue 3
\pages 260--264
\crossref{https://doi.org/10.1007/BF01036531}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KF10700004}
Linking options:
  • https://www.mathnet.ru/eng/tmf5549
  • https://www.mathnet.ru/eng/tmf/v90/i3/p380
    • This publication is cited in the following 4 articles:
    1. Alexander Chernitskii, “Gravitation in Unified Scalar Field Theory”, Universe, 7:1 (2021), 11  crossref
    2. Alexander A. Chernitskii, “Induced gravitation in nonlinear field models”, Int. J. Mod. Phys. Conf. Ser., 41 (2016), 1660119  crossref
    3. Alexander A. Chernitskii, “Gravitation as an effect of nonlinear electrodynamics”, Gravit. Cosmol., 17:2 (2011), 198  crossref
    4. A. A. Chernitskii, “On unification of gravitation and electromagnetism in the framework of a general-relativistic approach”, Gravit. Cosmol., 15:2 (2009), 151  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:278
    Full-text PDF :113
    References:49
    First page:1
     
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