KFU. Card publication. Nonlinear wave structures of the soliton and vortex types in complex continuous media: Theory, simulation, applications

KAZAN
FEDERAL UNIVERSITY

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NONLINEAR WAVE STRUCTURES OF THE SOLITON AND VORTEX TYPES IN COMPLEX CONTINUOUS MEDIA: THEORY, SIMULATION, APPLICATIONS

Form of presentation

International monographs

Year of publication

2018

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Authors, employees of KFU

Belashov Vasiliy Yurevich, author

Other authors

Belashova Elena , author

Kharshiladze Oleg , author

Bibliographic description in the original language

Belashov V.Yu., Belashova E.S., Kharshiladze O.A. Nonlinear wave structures of the soliton and vortex types in complex continuous media: Theory, simulation, applications. / V.Yu. Belashov, E.S. Belashova, O.A. Kharshiladze // Tbilisi Int. Centre of Mathematics and Informatics. Lecture Notes of TICMI, 2018. - Vol. 18. - 90 p.

Annotation

This edition of the Lecture Notes of TICMI is devoted to the problems of study of nonlinear wave structures of the soliton and vortex types in complex continuous media including theory and simulation of these processes and also some applications of the results in real physical media such as space plasma and plasma of the ionosphere and magnetosphere of the Earth. The results obtained in the collaborative works of the Kazan Federal University, Russia and I. Vekua Institute of Applied Mathematics, I. Javakhishvili Tbilisi State University, Georgia are presented. Some of them were discussed on special session of the VIII Annual Meeting of the Georgian Mechanical Union dedicated to the 110th Birthday Anniversary of Ilia Vekua on September 27-29, 2017, Tbilisi, Georgia. This edition consists of two parts devoted to the nonlinear wave structures and vortical structures in complex continuous media, respectively.

Keywords

Nonlinear wave structures, vortical structures, multidimensional solitons, complex continuous media, nonlinearity, dispersion, dissipation, instabilities, Belashov-Karpman system, generalized Kadomtsev-Petviashvili equation, GKP, derivative nonlinear Schr�dinger equation, 3-DNLS, fast magnetosonic waves, Alfv�n waves, plasma, ionosphere, magnetosphere, fluids, atmosphere, hydrosphere, internal gravity waves, traveling ionospheric disturbances, theory, numerical simulation, modified contour dynamic method, N-vortex structures

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/131358/Monografiya_Tbilisi_vol_18.pdf?sequence=1&isAllowed=y

URL

https://www.emis.de/journals/TICMI/lnt/vol18/lecture.htm

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

https://repository.kpfu.ru/eng/?p_id=174662&p_lang=2

Resource files

File name	Size (MB)	Format
Monografiya_Tbilisi_vol_18.pdf	3,56	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Belashov Vasiliy Yurevich	ru_RU
dc.contributor.author	Belashova Elena	ru_RU
dc.contributor.author	Kharshiladze Oleg	ru_RU
dc.date.accessioned	2018-01-01T00:00:00Z	ru_RU
dc.date.available	2018-01-01T00:00:00Z	ru_RU
dc.date.issued	2018	ru_RU
dc.identifier.citation	Belashov V.Yu., Belashova E.S., Kharshiladze O.A. Nonlinear wave structures of the soliton and vortex types in complex continuous media: Theory, simulation, applications. / V.Yu. Belashov, E.S. Belashova, O.A. Kharshiladze // Tbilisi Int. Centre of Mathematics and Informatics. Lecture Notes of TICMI, 2018. - Vol. 18. - 90 p.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=174662&p_lang=2	ru_RU
dc.description.abstract	This edition of the Lecture Notes of TICMI is devoted to the problems of study of nonlinear wave structures of the soliton and vortex types in complex continuous media including theory and simulation of these processes and also some applications of the results in real physical media such as space plasma and plasma of the ionosphere and magnetosphere of the Earth. The results obtained in the collaborative works of the Kazan Federal University, Russia and I. Vekua Institute of Applied Mathematics, I. Javakhishvili Tbilisi State University, Georgia are presented. Some of them were discussed on special session of the VIII Annual Meeting of the Georgian Mechanical Union dedicated to the 110th Birthday Anniversary of Ilia Vekua on September 27-29, 2017, Tbilisi, Georgia. This edition consists of two parts devoted to the nonlinear wave structures and vortical structures in complex continuous media, respectively.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Nonlinear wave structures	ru_RU
dc.subject	vortical structures	ru_RU
dc.subject	multidimensional solitons	ru_RU
dc.subject	complex continuous media	ru_RU
dc.subject	nonlinearity	ru_RU
dc.subject	dispersion	ru_RU
dc.subject	dissipation	ru_RU
dc.subject	instabilities	ru_RU
dc.subject	Belashov-Karpman system	ru_RU
dc.subject	generalized Kadomtsev-Petviashvili equation	ru_RU
dc.subject	GKP	ru_RU
dc.subject	derivative nonlinear Schr�dinger equation	ru_RU
dc.subject	3-DNLS	ru_RU
dc.subject	fast magnetosonic waves	ru_RU
dc.subject	Alfv�n waves	ru_RU
dc.subject	plasma	ru_RU
dc.subject	ionosphere	ru_RU
dc.subject	magnetosphere	ru_RU
dc.subject	fluids	ru_RU
dc.subject	atmosphere	ru_RU
dc.subject	hydrosphere	ru_RU
dc.subject	internal gravity waves	ru_RU
dc.subject	traveling ionospheric disturbances	ru_RU
dc.subject	theory	ru_RU
dc.subject	numerical simulation	ru_RU
dc.subject	modified contour dynamic method	ru_RU
dc.subject	N-vortex structures	ru_RU
dc.title	Nonlinear wave structures of the soliton and vortex types in complex continuous media: Theory, simulation, applications	ru_RU
dc.type	International monographs	ru_RU