KFU. Card publication. Problem of Stability of Solutions of the Generalized Nonlinear Schrödinger Equation in Nonuniform and Nonstationary Media

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PROBLEM OF STABILITY OF SOLUTIONS OF THE GENERALIZED NONLINEAR SCHRöDINGER EQUATION IN NONUNIFORM AND NONSTATIONARY MEDIA

Form of presentation

Articles in international journals and collections

Year of publication

2020

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Authors, employees of KFU

Belashov Vasiliy Yurevich, author

Bibliographic description in the original language

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.

Annotation

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.

Keywords

generalized nonlinear Schrödinger equation, envelop soliton, breather, interaction, multidimensional soliton, nonuniform medium, nonstationary medium, plasma, fiber, optical waveguide

The name of the journal

Acta Scientific. Applied Physics

On-line resource for training course

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

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=241206&p_lang=2

Resource files

File name	Size (MB)	Format
F_ASAP_01_0014__Final_version_11.11.2020_.pdf	0,81	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Belashov Vasiliy Yurevich	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/eng/?p_id=241206&p_lang=2	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	Articles in international journals and collections	ru_RU