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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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
|---|---|
| Дата: | 2016 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/140552 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-140552 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media |
| spellingShingle |
Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media Gerasimchuk, V.S. Gerasimchuk, I.V. Dranik, N.I. |
| title_short |
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_sort |
solutions of nonlinear schrödinger equation with two potential wells in linear/nonlinear media |
| author |
Gerasimchuk, V.S. Gerasimchuk, I.V. Dranik, N.I. |
| author_facet |
Gerasimchuk, V.S. Gerasimchuk, I.V. Dranik, N.I. |
| publishDate |
2016 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/140552 |
| 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. |
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2025-11-28T17:29:53Z |
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2025-11-28T17:29:53Z |
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