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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
Аннотация:
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.
Ключевые слова и фразы:
nonlinear Schrödinger equation, nonlinear localized states, potential well.
Поступила в редакцию: 07.02.2015
Образец цитирования:
V. S. Gerasimchuk, I. V. Gerasimchuk, N. I. Dranik, “Solutions of nonlinear Schrödinger equation with two potential wells in linear/nonlinear media”, Журн. матем. физ., анал., геом., 12:2 (2016), 168–176
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag650 https://www.mathnet.ru/rus/jmag/v12/i2/p168
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Страница аннотации: | 159 | PDF полного текста: | 59 | Список литературы: | 49 |
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