Existence and perturbation of embedded solitones governed by a extension of the NLS equation
We determine the conditions for the existence of "embedded solitons" (ES), and conventional bright and dark pulses, in an extension of the cubic nonlinear Schrodinger (NLS) equation with higher-order dispersive and nonlinear terms. The stability of these SE is studied numerically, and it i...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2003 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1643 |
| Acceso en línea: | http://hdl.handle.net/11154/1643 |
| Access Level: | acceso abierto |
| Palabra clave: | Physics, Multidisciplinary solitons nonlinear Schrodinger equation variational methods radiation |
| Sumario: | We determine the conditions for the existence of "embedded solitons" (ES), and conventional bright and dark pulses, in an extension of the cubic nonlinear Schrodinger (NLS) equation with higher-order dispersive and nonlinear terms. The stability of these SE is studied numerically, and it is found that these solitons are semi-stable. The damped oscillatory behavior of the perturbed SE is then analyzed by variational method, and it is shown that this damping is a consequence of the emission of radiation. Finally, it is shown that the uniqueness of these SE is due to a delicate balance between nonlinearity and dispersion. |
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