| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2020 |
| Язык | английский |
|
Белашов Василий Юрьевич, автор
|
| Библиографическое описание на языке оригинала |
Belashov V.Yu. Problem of Stability of Solutions of the Generalized Nonlinear Schrödinger Equation in Nonuniform and Nonstationary Media / V.Yu. Belashov // Acta Scientific. Applied Physics. - 2020. - V. 1, Iss. 3. - P. 1-4. |
| Аннотация |
On the basis of the analytical and numerical approaches the stability and dynamics of interaction of the multidimensional soliton-like solutions of the generalized nonlinear Schrödinger equation, which describes the waves in a plasma, fiber and planar optical waveguides, taking into account inhomogeneity and nonstationarity of propagation medium, is studied. The sufficient conditions of stability of the 2-dimensional and 3-dimensional solutions are obtained, and it is shown that even in the simplest 1-dimensional case the GNLS equation can have stable and quasi-stable solutions of the soliton and breather types and also unstable solutions which disperses with time. Obtained results can be useful in numerous applications in plasma physics, nonlinear optics and in many other
fields of physics. |
| Ключевые слова |
generalized nonlinear Schrödinger equation, envelop soliton, breather, interaction, multidimensional soliton, nonuniform medium, nonstationary medium, plasma, fiber, optical waveguide |
| Название журнала |
Acta Scientific. Applied Physics
|
| Ссылка для РПД |
http://dspace.kpfu.ru/xmlui/bitstream/handle/net/159586/F_ASAP_01_0014__Final_version_11.11.2020_.pdf?sequence=1&isAllowed=y
|
| URL |
https://actascientific.com/ASAP |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=241206 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Белашов Василий Юрьевич |
ru_RU |
| dc.date.accessioned |
2020-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2020-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2020 |
ru_RU |
| dc.identifier.citation |
Belashov V.Yu. Problem of Stability of Solutions of the Generalized Nonlinear Schrödinger Equation in Nonuniform and Nonstationary Media / V.Yu. Belashov // Acta Scientific. Applied Physics. - 2020. - V. 1, Iss. 3. - P. 1-4. |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=241206 |
ru_RU |
| dc.description.abstract |
Acta Scientific. Applied Physics |
ru_RU |
| dc.description.abstract |
On the basis of the analytical and numerical approaches the stability and dynamics of interaction of the multidimensional soliton-like solutions of the generalized nonlinear Schrödinger equation, which describes the waves in a plasma, fiber and planar optical waveguides, taking into account inhomogeneity and nonstationarity of propagation medium, is studied. The sufficient conditions of stability of the 2-dimensional and 3-dimensional solutions are obtained, and it is shown that even in the simplest 1-dimensional case the GNLS equation can have stable and quasi-stable solutions of the soliton and breather types and also unstable solutions which disperses with time. Obtained results can be useful in numerous applications in plasma physics, nonlinear optics and in many other
fields of physics. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
generalized nonlinear Schrödinger equation |
ru_RU |
| dc.subject |
envelop soliton |
ru_RU |
| dc.subject |
breather |
ru_RU |
| dc.subject |
interaction |
ru_RU |
| dc.subject |
multidimensional soliton |
ru_RU |
| dc.subject |
nonuniform medium |
ru_RU |
| dc.subject |
nonstationary medium |
ru_RU |
| dc.subject |
plasma |
ru_RU |
| dc.subject |
fiber |
ru_RU |
| dc.subject |
optical waveguide |
ru_RU |
| dc.title |
Problem of Stability of Solutions of the Generalized Nonlinear Schrödinger Equation in Nonuniform and Nonstationary Media |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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