| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2021 |
| Язык | английский |
|
Белашов Василий Юрьевич, автор
|
|
Kharshiladze Oleg Avtandilovich, автор
Белашова Елена Семеновна, автор
|
| Библиографическое описание на языке оригинала |
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. |
| Аннотация |
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. |
| Ключевые слова |
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 |
| Название журнала |
Transactions of A. Razmadze Mathematical Institute
|
| Ссылка для РПД |
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 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=257184 |
| Файлы ресурса | |
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Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Белашов Василий Юрьевич |
ru_RU |
| dc.contributor.author |
Kharshiladze Oleg Avtandilovich |
ru_RU |
| dc.contributor.author |
Белашова Елена Семеновна |
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/?p_id=257184 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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