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On Nonstationary Inhomogeneities of the Nonlinear Klein—Gordon Equation

  • Nonlinear Phenomena
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Abstract

A system consisting of a point material particle and a field described by the nonlinear Klein-Gordon equation has been considered. The particle produces an inhomogeneity of the field and interacts with the field. It has been shown that this system including relativistic effects sometimes does not allow a stable energy minimum at zero velocity. Such a behavior is interesting for the construction of soliton models of particles with a nonzero characteristic angular momentum or soliton models of particles with an oscillation mass.

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References

  1. Encyclopedia of Nonlinear Science, Ed. by A. Scott (Routledge, New York, 2004).

    MATH  Google Scholar 

  2. X. Jiang, Z. Fan, Z. Chen, W. Pang, and Y. Li, Phys. Rev. A 93, 023633 (2016).

    Article  ADS  Google Scholar 

  3. B. A. Malomed, Phys. J. Spec. Top. 225, 2507 (2016).

    Article  Google Scholar 

  4. G. Fodor, P. Forgacs, Z. Horvath, and A. Lukacs, Phys. Rev. D 78, 025003 (2008).

    Article  ADS  Google Scholar 

  5. J. Cuevas, P. G. Kevrekidis, B. A. Malomed, P. Dyke, and R. G. Hulet, New J. Phys. 15, 063006 (2013).

    Article  MathSciNet  ADS  Google Scholar 

  6. E. G. Ekomasov and R. K. Salimov, JETP Lett. 102, 122 (2015).

    Article  ADS  Google Scholar 

  7. L. A. Takhtadzhan and L. D. Faddeev, Sov. J. Theor. Math. Phys. 21, 1046 (1974).

    Article  Google Scholar 

  8. M. A. Shamsutdinov, V. N. Nazarov, and I. Yu. Lomakina, Ferro- and Antiferromagnetodynamics. Nonlinear Oscillations, Waves and Solitons (Nauka, Moscow, 2009) [in Russian].

    Google Scholar 

  9. J. Cuevas-Maraver, P. G. Kevrekidis, and F. Williams, Physics 10, 263 (2014).

    Google Scholar 

  10. T. Dauxois and M. Peyrard, Physics of Solitons (Cambridge Univ. Press, New York, 2010).

    MATH  Google Scholar 

  11. A. Wazwaz, J. Appl. Math. Inform. 30, 925 (2012).

    MathSciNet  Google Scholar 

  12. S. Johnson, P. Suarez, and A. Biswas, Math. Math. Phys. 52, 98 (2012).

    Article  Google Scholar 

  13. E. L. Aero, A. N. Bulygin, and Yu. V. Pavlov, Theor. Math. Phys. 158, 313 (2009).

    Article  Google Scholar 

  14. M. Qing, H. Bin, R. Weiguo, and L. Yao, International Journal of Computer Mathematics 87, 591 (2010).

    Article  MathSciNet  Google Scholar 

  15. E. G. Ekomasov and R. K. Salimov, Comput. Math. Math. Phys. 56, 1604 (2016).

    Article  MathSciNet  Google Scholar 

  16. I. L. Bogoluvskii and V. G. Makhankov, JETP Lett. 24, 12 (1976).

    ADS  Google Scholar 

  17. E. G. Ekomasov, A. M. Gumerov, and R. V. Kudryavtsev, JETP Lett. 101, 835 (2015).

    Article  ADS  Google Scholar 

  18. E. G. Ekomasov, R. R. Murtazin, and V. N. Nazarov, J. Magn. Magn. Mater. 385, 217 (2015).

    Article  ADS  Google Scholar 

  19. E. G. Ekomasov, R. R. Murtazin, and Sh. A. Azamatov, Phys. Solid State 54, 1584 (2012).

    Article  ADS  Google Scholar 

  20. E. G. Ekomasov, Sh. A. Azamatov, R. R. Murtazin, A. M. Gumerov, and A. D. Davletshina, Bull. Russ. Acad. Sci.: Phys. 74, 1459 (2010).

    Article  Google Scholar 

  21. T. B. Shapaeva, R. R. Murtazin, and E. G. Ekomasov, Bull. Russ. Acad. Sci.: Phys. 78, 88 (2014).

    Article  Google Scholar 

  22. E. G. Ekomasov, A. M. Gumerov, and R. R. Murtazin, Math. Meth. Appl. Sci. 40, 6178 (2016).

    Article  Google Scholar 

  23. E. G. Ekomasov, R. R. Murtazin, Sh. A. Azamatov, and A. E. Ekomasov, Phys. Met. Metallogr. 112, 213 (2011).

    Article  ADS  Google Scholar 

  24. E. G. Ekomasov, Sh. A. Azamatov, and R. R. Murtazin, Phys. Met. Metallogr. 108, 532 (2009).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Bashkir State University, Ufa, 450076, Russia

    R. K. Salimov

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  1. R. K. Salimov
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Correspondence to R. K. Salimov.

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Russian Text © The Author(s), 2019, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2019, Vol. 109, No. 7, pp. 504–507.

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Salimov, R.K. On Nonstationary Inhomogeneities of the Nonlinear Klein—Gordon Equation. Jetp Lett. 109, 490–493 (2019). https://doi.org/10.1134/S0021364019070129

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  • DOI: https://doi.org/10.1134/S0021364019070129

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