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Pis'ma v Zh. Èksper. Teoret. Fiz., 2015, Volume 101, Issue 12, Pages 935–939 (Mi jetpl4664)  

This article is cited in 5 scientific papers (total in 5 papers)

NONLINEAR DYNAMICS

On the possibility of the observation of the resonance interaction between kinks of the sine-Gordon equation and localized waves in real physical systems

E. G. Ekomasov, A. M. Gumerov, R. V. Kudryavtsev

Bashkir State University, Ufa, 450076, Russia

Abstract: The resonance dynamics of kinks of the sine-Gordon equation in a system with a single point impurity with allowance for the generation of localized waves in the presence of an external force and dissipation has been studied. Equations of motion for the coordinate of the kink center and the amplitude of the impurity mode have been found. The analysis of solutions of these equations and results of the numerical simulation of the modified sine-Gordon equation have showed that damping and the external force act against the appearance of the resonance reflection of the kink from the attractive impurity. However, the resonance energy exchange between solitons causing it still takes place.

DOI: https://doi.org/10.7868/S0370274X15120127

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English version:
Journal of Experimental and Theoretical Physics Letters, 2015, 101:12, 835–839

Bibliographic databases:

Received: 29.04.2015

Citation: E. G. Ekomasov, A. M. Gumerov, R. V. Kudryavtsev, “On the possibility of the observation of the resonance interaction between kinks of the sine-Gordon equation and localized waves in real physical systems”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:12 (2015), 935–939; JETP Letters, 101:12 (2015), 835–839

Citation in format AMSBIB
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\paper On the possibility of the observation of the resonance interaction between kinks of the sine-Gordon equation and localized waves in real physical systems
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
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\pages 935--939
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. E. G. Ekomasov, A. M. Gumerov, R. R. Murtazin, Math. Meth. Appl. Sci., 40:17, SI (2017), 6178–6186  crossref  mathscinet  zmath  isi  scopus
    2. A. M. Gumerov, E. G. Ekomasov, V R. Kudryavtsev, I M. Fakhretdinov, Lett. Mater., 8:3 (2018), 299–304  crossref  isi  scopus
    3. E. G. Ekomasov, A. M. Gumerov, R. V. Kudryavtsev, S. V. Dmitriev, V. N. Nazarov, Braz. J. Phys., 48:6 (2018), 576–584  crossref  mathscinet  isi  scopus
    4. V. A. Delev, O. A. Skaldin, E. S. Batyrshin, V. N. Nazarov, E. G. Ekomasov, JETP Letters, 109:2 (2019), 87–91  mathnet  crossref  crossref  isi  elib
    5. R. K. Salimov, Pisma v ZhETF, 109:7 (2019), 500–503  mathnet  crossref  elib
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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