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Fizika Tverdogo Tela, 2020, Volume 62, Issue 6, Pages 874–879
DOI: https://doi.org/10.21883/FTT.2020.06.49341.16M (Mi ftt8398) 		 
This article is cited in 1 scientific paper (total in 1 paper)

International conference ''Phase transitions, critical and nonlinear phenomena in condensed matter'', Makhachkala, September 15-20, 2019
Lattice dynamics

Nonlocal solitons in a nonlinear chain of atoms

T. A. Gadzhimuradov, A. M. Agalarov

Daghestan Institute of Physics after Amirkhanov, Makhachkala, Russia
Full-text PDF (1077 kB) Citations (1)
DOI: https://doi.org/10.21883/FTT.2020.06.49341.16M
Abstract: A nonlinear 1D chain with nonlocal interaction has been considered. A nonlocal equation describing the propagation of envelope waves in the medium has been obtained using the multiscale decomposition method. The properties of the resulting equation have been studied and exact soliton-like solutions have been constructed using the Darboux transformation method.
Keywords: PT, soliton, Darboux transformation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
The work was carried out within the framework of the state task of the Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences.
Received: 30.12.2019
Revised: 30.12.2019
Accepted: 10.01.2020
English version:
Physics of the Solid State, 2020, Volume 62, Issue 6, Pages 982–987
DOI: https://doi.org/10.1134/S1063783420060074
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. A. Gadzhimuradov, A. M. Agalarov, “Nonlocal solitons in a nonlinear chain of atoms”, Fizika Tverdogo Tela, 62:6 (2020), 874–879; Phys. Solid State, 62:6 (2020), 982–987
Citation in format AMSBIB
\Bibitem{GadAga20}
\by T.~A.~Gadzhimuradov, A.~M.~Agalarov
\paper Nonlocal solitons in a nonlinear chain of atoms
\jour Fizika Tverdogo Tela
\yr 2020
\vol 62
\issue 6
\pages 874--879
\mathnet{http://mi.mathnet.ru/ftt8398}
\crossref{https://doi.org/10.21883/FTT.2020.06.49341.16M}
\elib{https://elibrary.ru/item.asp?id=43800497}
\transl
\jour Phys. Solid State
\yr 2020
\vol 62
\issue 6
\pages 982--987
\crossref{https://doi.org/10.1134/S1063783420060074}
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  • https://www.mathnet.ru/eng/ftt8398
  • https://www.mathnet.ru/eng/ftt/v62/i6/p874
    • This publication is cited in the following 1 articles:
    1. O.O. Vakhnenko, “Coupled Nonlinear Dynamics in the Three-Mode Integrable System on a Regular Chain”, Ukr. J. Phys., 66:7 (2021), 601  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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