Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media
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 f...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2016 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/140552 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media / V.S. Gerasimchuk, I.V. Gerasimchuk, N.I. Dranik // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 2. — С. 168-176. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862609018586923008 |
|---|---|
| author | Gerasimchuk, V.S. Gerasimchuk, I.V. Dranik, N.I. |
| author_facet | Gerasimchuk, V.S. Gerasimchuk, I.V. Dranik, N.I. |
| citation_txt | Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media / V.S. Gerasimchuk, I.V. Gerasimchuk, N.I. Dranik // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 2. — С. 168-176. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | 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.
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| first_indexed | 2025-11-28T17:29:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140552 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-28T17:29:53Z |
| publishDate | 2016 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Gerasimchuk, V.S. Gerasimchuk, I.V. Dranik, N.I. 2018-07-10T13:58:47Z 2018-07-10T13:58:47Z 2016 Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media / V.S. Gerasimchuk, I.V. Gerasimchuk, N.I. Dranik // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 2. — С. 168-176. — Бібліогр.: 11 назв. — англ. 1812-9471 Mathematics Subject Classification 2000: 35Q55; 37K10. https://nasplib.isofts.kiev.ua/handle/123456789/140552 DOI: doi.org/10.15407/mag12.02.168 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media Article published earlier |
| spellingShingle | Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media Gerasimchuk, V.S. Gerasimchuk, I.V. Dranik, N.I. |
| title | Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media |
| title_full | Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media |
| title_fullStr | Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media |
| title_full_unstemmed | Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media |
| title_short | Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media |
| title_sort | solutions of nonlinear schrödinger equation with two potential wells in linear/nonlinear media |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140552 |
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