Dynamics of bound soliton states in regularized dispersive equations
The nonstationary dynamics of topological solitons (dislocations, domain walls, fluxons) and their bound states in one-dimensional systems with high dispersion are investigated. Dynamical features of a moving kink emitting radiation and breathers are studied analytically. Conditions of the breathe...
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| Опубліковано в: : | Физика низких температур |
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| Дата: | 2008 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/117344 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Dynamics of bound soliton states in regularized dispersive equations / M.M. Bogdan, O.V. Charkina // Физика низких температур. — 2008. — Т. 34, № 7. — С. 713–720. — Бібліогр.: 40 назв. — англ. |
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nasplib_isofts_kiev_ua-123456789-117344 |
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Bogdan, M.M. Charkina, O.V. 2017-05-22T14:48:48Z 2017-05-22T14:48:48Z 2008 Dynamics of bound soliton states in regularized dispersive equations / M.M. Bogdan, O.V. Charkina // Физика низких температур. — 2008. — Т. 34, № 7. — С. 713–720. — Бібліогр.: 40 назв. — англ. 0132-6414 PACS: 05.45.–a;05.45.Yv;75.40.Gb https://nasplib.isofts.kiev.ua/handle/123456789/117344 The nonstationary dynamics of topological solitons (dislocations, domain walls, fluxons) and their bound states in one-dimensional systems with high dispersion are investigated. Dynamical features of a moving kink emitting radiation and breathers are studied analytically. Conditions of the breather excitation and its dynamical properties are specified. Processes of soliton complex formation are studied analytically and numerically in relation to the strength of the dispersion, soliton velocity, and distance between solitons. It is shown that moving bound soliton complexes with internal structure can be stabilized by an external force in a dissipative medium then their velocities depend in a step-like manner on a driving strength. This work is dedicated to the memory of Arnold Markovich Kosevich who was the teacher for us in science and life. We are grateful for a support to a joint scientific project No.24-02-a of NAS of Ukraine and RFBR, and to joint French-Ukrainian project in the framework of scientific cooperation between NAS of Ukraine and CNRS of France. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Низкоразмерные и неупорядоченные системы Dynamics of bound soliton states in regularized dispersive equations Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Dynamics of bound soliton states in regularized dispersive equations |
| spellingShingle |
Dynamics of bound soliton states in regularized dispersive equations Bogdan, M.M. Charkina, O.V. Низкоразмерные и неупорядоченные системы |
| title_short |
Dynamics of bound soliton states in regularized dispersive equations |
| title_full |
Dynamics of bound soliton states in regularized dispersive equations |
| title_fullStr |
Dynamics of bound soliton states in regularized dispersive equations |
| title_full_unstemmed |
Dynamics of bound soliton states in regularized dispersive equations |
| title_sort |
dynamics of bound soliton states in regularized dispersive equations |
| author |
Bogdan, M.M. Charkina, O.V. |
| author_facet |
Bogdan, M.M. Charkina, O.V. |
| topic |
Низкоразмерные и неупорядоченные системы |
| topic_facet |
Низкоразмерные и неупорядоченные системы |
| publishDate |
2008 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
The nonstationary dynamics of topological solitons (dislocations, domain walls, fluxons) and their
bound states in one-dimensional systems with high dispersion are investigated. Dynamical features of a
moving kink emitting radiation and breathers are studied analytically. Conditions of the breather excitation
and its dynamical properties are specified. Processes of soliton complex formation are studied analytically
and numerically in relation to the strength of the dispersion, soliton velocity, and distance between solitons.
It is shown that moving bound soliton complexes with internal structure can be stabilized by an external
force in a dissipative medium then their velocities depend in a step-like manner on a driving strength.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/117344 |
| citation_txt |
Dynamics of bound soliton states in regularized dispersive equations / M.M. Bogdan, O.V. Charkina // Физика низких температур. — 2008. — Т. 34, № 7. — С. 713–720. — Бібліогр.: 40 назв. — англ. |
| work_keys_str_mv |
AT bogdanmm dynamicsofboundsolitonstatesinregularizeddispersiveequations AT charkinaov dynamicsofboundsolitonstatesinregularizeddispersiveequations |
| first_indexed |
2025-12-07T16:51:28Z |
| last_indexed |
2025-12-07T16:51:28Z |
| _version_ |
1850869063041941504 |