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. Condition...
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| Published in: | Физика низких температур |
|---|---|
| Date: | 2008 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/117344 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862704603307442176 |
|---|---|
| author | Bogdan, M.M. Charkina, O.V. |
| author_facet | Bogdan, M.M. Charkina, O.V. |
| 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. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| 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.
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| first_indexed | 2025-12-07T16:51:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-117344 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T16:51:28Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Dynamics of bound soliton states in regularized dispersive equations Bogdan, M.M. Charkina, O.V. Низкоразмерные и неупорядоченные системы |
| title | 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_short | Dynamics of bound soliton states in regularized dispersive equations |
| title_sort | dynamics of bound soliton states in regularized dispersive equations |
| topic | Низкоразмерные и неупорядоченные системы |
| topic_facet | Низкоразмерные и неупорядоченные системы |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/117344 |
| work_keys_str_mv | AT bogdanmm dynamicsofboundsolitonstatesinregularizeddispersiveequations AT charkinaov dynamicsofboundsolitonstatesinregularizeddispersiveequations |