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Zhurnal Tekhnicheskoi Fiziki, 2019, Volume 89, Issue 2, Pages 163–168
DOI: https://doi.org/10.21883/JTF.2019.02.47063.2355 (Mi jtf5682) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Theoretical and Mathematical Physics

Localization and transformation of nonlinear excitations in the vicinity of interface of media with nonlinearities of different signs

S. E. Savotchenko

Belgorod Shukhov State Technological University
Full-text PDF (101 kB) Citations (4)
DOI: https://doi.org/10.21883/JTF.2019.02.47063.2355
Abstract: Contact states at the interface of nonlinear media with anharmonicities of different signs are considered. A model that represents a boundary-value problem for the nonlinear Schrödinger equation is proposed. Several types of stationary states that depend on energy and describe local states in the vicinity of the interface, localization of nonlinear waves passing through the interface, and transformation of such waves are obtained for the system under study. Dispersion relations that make it possible to determine the energies of such states are derived. Explicit expressions for the energies of stationary states are obtained in the limiting cases.
Received: 24.05.2017
English version:
Technical Physics, 2019, Volume 64, Issue 2, Pages 133–137
DOI: https://doi.org/10.1134/S106378421902018X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. E. Savotchenko, “Localization and transformation of nonlinear excitations in the vicinity of interface of media with nonlinearities of different signs”, Zhurnal Tekhnicheskoi Fiziki, 89:2 (2019), 163–168; Tech. Phys., 64:2 (2019), 133–137
Citation in format AMSBIB
\Bibitem{Sav19}
\by S.~E.~Savotchenko
\paper Localization and transformation of nonlinear excitations in the vicinity of interface of media with nonlinearities of different signs
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2019
\vol 89
\issue 2
\pages 163--168
\mathnet{http://mi.mathnet.ru/jtf5682}
\crossref{https://doi.org/10.21883/JTF.2019.02.47063.2355}
\elib{https://elibrary.ru/item.asp?id=37479237}
\transl
\jour Tech. Phys.
\yr 2019
\vol 64
\issue 2
\pages 133--137
\crossref{https://doi.org/10.1134/S106378421902018X}
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    Citing articles in Google Scholar: Russian citations, English citations
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