KFU. Card publication. Solitons on shallow fluid with variable depth

KAZAN
FEDERAL UNIVERSITY

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SOLITONS ON SHALLOW FLUID WITH VARIABLE DEPTH

Form of presentation

Articles in international journals and collections

Year of publication

2021

Язык

английский

Authors, employees of KFU

Belashov Vasiliy Yurevich, author

Other authors

Kharshiladze Oleg Avtandilovich, author

Belashova Elena Semenovna, author

Bibliographic description in the original language

Kharshiladze O.A., Belashov V.Yu., Belashova E.S. Solitons on shallow fluid with variable depth // Transactions of A. Razmadze Mathematical Institute, 2021. V. 175, issue 2, pp. 215–224.

Annotation

The results of numerical study of evolution of the solitons of gravity and gravity-capillary waves on surface of shallow fluid when the characteristic wavelength is essentially greater then depth, are presented for the cases when dispersive parameter is a function of time and spatial coordinates, . This corresponds to the problems when the relief of bottom is changed in time and space. We use both one-dimensional approach (the equations of the KdV-class) and also two-dimensional description (the equations of the KP-class) where it is necessary.

Keywords

Solitons, nonlinearity, dispersion, gravity waves, gravity-capillary waves, structure, evolution, shallow fluid, varying relief of bottom, numerical study, KdV-class equations, KP-class equations, stable and unstable solutions

The name of the journal

Transactions of A. Razmadze Mathematical Institute

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/165900/F_O_Kharshiladze_and_me_and__elen_SOLITONS.pdf?sequence=1&isAllowed=y

URL

http://www.rmi.ge/transactions/TRMI-volumes/175-2/175-2.htm

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

https://repository.kpfu.ru/eng/?p_id=257184&p_lang=2

Resource files

File name	Size (MB)	Format
F_O_Kharshiladze_and_me_and__elen_SOLITONS.pdf	1,06	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Belashov Vasiliy Yurevich	ru_RU
dc.contributor.author	Kharshiladze Oleg Avtandilovich	ru_RU
dc.contributor.author	Belashova Elena Semenovna	ru_RU
dc.date.accessioned	2021-01-01T00:00:00Z	ru_RU
dc.date.available	2021-01-01T00:00:00Z	ru_RU
dc.date.issued	2021	ru_RU
dc.identifier.citation	Kharshiladze O.A., Belashov V.Yu., Belashova E.S. Solitons on shallow fluid with variable depth // Transactions of A. Razmadze Mathematical Institute, 2021. V. 175, issue 2, pp. 215–224.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=257184&p_lang=2	ru_RU
dc.description.abstract	Transactions of A. Razmadze Mathematical Institute	ru_RU
dc.description.abstract	The results of numerical study of evolution of the solitons of gravity and gravity-capillary waves on surface of shallow fluid when the characteristic wavelength is essentially greater then depth, are presented for the cases when dispersive parameter is a function of time and spatial coordinates, . This corresponds to the problems when the relief of bottom is changed in time and space. We use both one-dimensional approach (the equations of the KdV-class) and also two-dimensional description (the equations of the KP-class) where it is necessary.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Solitons	ru_RU
dc.subject	nonlinearity	ru_RU
dc.subject	dispersion	ru_RU
dc.subject	gravity waves	ru_RU
dc.subject	gravity-capillary waves	ru_RU
dc.subject	structure	ru_RU
dc.subject	evolution	ru_RU
dc.subject	shallow fluid	ru_RU
dc.subject	varying relief of bottom	ru_RU
dc.subject	numerical study	ru_RU
dc.subject	KdV-class equations	ru_RU
dc.subject	KP-class equations	ru_RU
dc.subject	stable and unstable solutions	ru_RU
dc.title	Solitons on shallow fluid with variable depth	ru_RU
dc.type	Articles in international journals and collections	ru_RU