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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146155 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862548170751344640 |
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| author | Izquierdo, A.A. González León, M.A. de la Torre Mayado, M. |
| author_facet | Izquierdo, A.A. González León, M.A. de la Torre Mayado, M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-25T18:51:37Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146155 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T18:51:37Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Izquierdo, A.A. González León, M.A. de la Torre Mayado, M. 2019-02-07T19:20:35Z 2019-02-07T19:20:35Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/146155 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. This paper is a contribution to the Proceedings of the Eighth International Conference “Symmetry in Nonlinear Mathematical Physics” (June 21–27, 2009, Kyiv, Ukraine). The full collection is available at http://www.emis.de/journals/SIGMA/symmetry2009.html.
 We are very grateful to J. Mateos Guilarte for informative and illuminating conversations on several issues concerning this work. We also thank the Spanish Ministerio de Educaci´on y Ciencia and Junta de Castilla y Le´on for partial support under grants FIS2006-09417 and GR224. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Solitary Waves in Massive Nonlinear SN-Sigma Models Article published earlier |
| spellingShingle | Solitary Waves in Massive Nonlinear SN-Sigma Models Izquierdo, A.A. González León, M.A. de la Torre Mayado, M. |
| title | 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_short | Solitary Waves in Massive Nonlinear SN-Sigma Models |
| title_sort | solitary waves in massive nonlinear sn-sigma models |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146155 |
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