Stable Kink-Kink and Metastable Kink-Antikink Solutions
We construct and study two kink theories. One contains a static 2-kink configuration with controllable binding energy. The other contains a locally stable non-topological solution, which we call a lavíon. The new models are 1D analogs of non-integrable systems in higher dimensions, such as the Skyrm...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2023 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2023
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211909 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Stable Kink-Kink and Metastable Kink-Antikink Solutions. Chris Halcrow and Egor Babaev. SIGMA 19 (2023), 034, 13 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862747569276321792 |
|---|---|
| author | Halcrow, Chris Babaev, Egor |
| author_facet | Halcrow, Chris Babaev, Egor |
| citation_txt | Stable Kink-Kink and Metastable Kink-Antikink Solutions. Chris Halcrow and Egor Babaev. SIGMA 19 (2023), 034, 13 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct and study two kink theories. One contains a static 2-kink configuration with controllable binding energy. The other contains a locally stable non-topological solution, which we call a lavíon. The new models are 1D analogs of non-integrable systems in higher dimensions, such as the Skyrme model and realistic vortex systems. To help construct the theories, we derive a simple expression for the interaction energy between two kinks.
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| first_indexed | 2026-04-17T19:35:14Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211909 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T19:35:14Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Halcrow, Chris Babaev, Egor 2026-01-16T11:17:12Z 2023 Stable Kink-Kink and Metastable Kink-Antikink Solutions. Chris Halcrow and Egor Babaev. SIGMA 19 (2023), 034, 13 pages 1815-0659 2020 Mathematics Subject Classification: 35C08; 35Q51; 37K40 arXiv:2211.02413 https://nasplib.isofts.kiev.ua/handle/123456789/211909 https://doi.org/10.3842/SIGMA.2023.034 We construct and study two kink theories. One contains a static 2-kink configuration with controllable binding energy. The other contains a locally stable non-topological solution, which we call a lavíon. The new models are 1D analogs of non-integrable systems in higher dimensions, such as the Skyrme model and realistic vortex systems. To help construct the theories, we derive a simple expression for the interaction energy between two kinks. We thank Andrzej Wereszczynski for useful discussions, Anusree N for pointing out an error in the manuscript, and the referees for providing valuable feedback. CH is supported by the Carl Trygger Foundation through the grant CTS 20:25. This work is supported by the Swedish Research Council Grants 2016-06122 and 2018-03659. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Stable Kink-Kink and Metastable Kink-Antikink Solutions Article published earlier |
| spellingShingle | Stable Kink-Kink and Metastable Kink-Antikink Solutions Halcrow, Chris Babaev, Egor |
| title | Stable Kink-Kink and Metastable Kink-Antikink Solutions |
| title_full | Stable Kink-Kink and Metastable Kink-Antikink Solutions |
| title_fullStr | Stable Kink-Kink and Metastable Kink-Antikink Solutions |
| title_full_unstemmed | Stable Kink-Kink and Metastable Kink-Antikink Solutions |
| title_short | Stable Kink-Kink and Metastable Kink-Antikink Solutions |
| title_sort | stable kink-kink and metastable kink-antikink solutions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211909 |
| work_keys_str_mv | AT halcrowchris stablekinkkinkandmetastablekinkantikinksolutions AT babaevegor stablekinkkinkandmetastablekinkantikinksolutions |