Solitary Waves in Massive Nonlinear SN-Sigma Models
The solitary waves of massive (1+1)-dimensional nonlinear SN-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional Neumann mechanical problem. There are topological (heteroclini...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2010 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146155 |
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| Цитувати: | Solitary Waves in Massive Nonlinear SN-Sigma Models / A.A. Izquierdo, M.A. González León, M. de la Torre Mayado // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 19 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1461552019-02-08T01:23:26Z Solitary Waves in Massive Nonlinear SN-Sigma Models Izquierdo, A.A. González León, M.A. de la Torre Mayado, M. The solitary waves of massive (1+1)-dimensional nonlinear SN-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional Neumann mechanical problem. There are topological (heteroclinic trajectories) and non-topological (homoclinic trajectories) kinks. The stability of some embedded sine-Gordon kinks is discussed by means of the direct estimation of the spectra of the second-order fluctuation operators around them, whereas the instability of other topological and non-topological kinks is established applying the Morse index theorem. 2010 Article Solitary Waves in Massive Nonlinear SN-Sigma Models / A.A. Izquierdo, M.A. González León, M. de la Torre Mayado // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 19 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35Q51; 81T99 http://dspace.nbuv.gov.ua/handle/123456789/146155 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The solitary waves of massive (1+1)-dimensional nonlinear SN-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional Neumann mechanical problem. There are topological (heteroclinic trajectories) and non-topological (homoclinic trajectories) kinks. The stability of some embedded sine-Gordon kinks is discussed by means of the direct estimation of the spectra of the second-order fluctuation operators around them, whereas the instability of other topological and non-topological kinks is established applying the Morse index theorem. |
| format |
Article |
| author |
Izquierdo, A.A. González León, M.A. de la Torre Mayado, M. |
| spellingShingle |
Izquierdo, A.A. González León, M.A. de la Torre Mayado, M. Solitary Waves in Massive Nonlinear SN-Sigma Models Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Izquierdo, A.A. González León, M.A. de la Torre Mayado, M. |
| author_sort |
Izquierdo, A.A. |
| title |
Solitary Waves in Massive Nonlinear SN-Sigma Models |
| title_short |
Solitary Waves in Massive Nonlinear SN-Sigma Models |
| title_full |
Solitary Waves in Massive Nonlinear SN-Sigma Models |
| title_fullStr |
Solitary Waves in Massive Nonlinear SN-Sigma Models |
| title_full_unstemmed |
Solitary Waves in Massive Nonlinear SN-Sigma Models |
| title_sort |
solitary waves in massive nonlinear sn-sigma models |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146155 |
| citation_txt |
Solitary Waves in Massive Nonlinear SN-Sigma Models / A.A. Izquierdo, M.A. González León, M. de la Torre Mayado // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 19 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT izquierdoaa solitarywavesinmassivenonlinearsnsigmamodels AT gonzalezleonma solitarywavesinmassivenonlinearsnsigmamodels AT delatorremayadom solitarywavesinmassivenonlinearsnsigmamodels |
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2023-05-20T17:23:58Z |
| last_indexed |
2023-05-20T17:23:58Z |
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