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Solitary Waves in Massive Nonlinear SN-Sigma Models
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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Solitary Waves in Massive Nonlinear SN-Sigma Models
Інший ID:
2010 Mathematics Subject Classification: 35Q51; 81T99
Посилання:
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.
Підтримка:
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.
Дата:
2010
Переглядів:
542
Завантажень:
153
Анотація:
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.
