Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2016, Volume 12, Number 2, Pages 168–176
DOI: https://doi.org/10.15407/mag12.02.168 (Mi jmag650) 		 
Solutions of nonlinear Schrödinger equation with two potential wells in linear/nonlinear media

V. S. Gerasimchuka, I. V. Gerasimchukab, N. I. Dranika

a National Technical University of Ukraine “Kyiv Polytechnic Institute”, 37 Peremohy Ave., Kyiv 03056, Ukraine
b Institute of Magnetism, National Academy of Sciences of Ukraine and Ministry of Education, and Science of Ukraine, 36-b Vernadsky Blvd., Kyiv 03142, Ukraine
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DOI: https://doi.org/10.15407/mag12.02.168
Abstract: In the framework of nonlinear Schrödinger equation, we analytically studied the nonlinear localized states in the system with two potential holes in the cases of linear and nonlinear media in the holes as well as their linear and nonlinear environment. All the possible solutions for the system are found and studied. The frequency dependences of the field amplitudes for all types of possible stationary localized states are obtained.
Key words and phrases: nonlinear Schrödinger equation, nonlinear localized states, potential well.
Received: 07.02.2015
Bibliographic databases:
Document Type: Article
UDC: 35Q55; 37K10
Language: English
Citation: V. S. Gerasimchuk, I. V. Gerasimchuk, N. I. Dranik, “Solutions of nonlinear Schrödinger equation with two potential wells in linear/nonlinear media”, Zh. Mat. Fiz. Anal. Geom., 12:2 (2016), 168–176
Citation in format AMSBIB
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\by V.~S.~Gerasimchuk, I.~V.~Gerasimchuk, N.~I.~Dranik
\paper Solutions of nonlinear Schr\"odinger equation with two potential wells in linear/nonlinear media
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2016
\vol 12
\issue 2
\pages 168--176
\mathnet{http://mi.mathnet.ru/jmag650}
\crossref{https://doi.org/10.15407/mag12.02.168}
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\elib{https://elibrary.ru/item.asp?id=25955930}
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