Dissipative Solitons that Cannot be Trapped
We show that dissipative solitons in systems with high-order nonlinear dissipation cannot survive in the presence of trapping potentials of the rigid wall or asymptotically increasing type. Solitons in such systems can survive in the presence of a weak potential but only with energies out of the int...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49704 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49704 |
| Access Level: | acceso abierto |
| Palabra clave: | 515.1 Solitons Tunneling Josephson effect Bose-Einstein condensates in periodic potentials Vortices and topological excitations Optical solitons Nonlinear guided waves Topología 1210 Topología |
| Sumario: | We show that dissipative solitons in systems with high-order nonlinear dissipation cannot survive in the presence of trapping potentials of the rigid wall or asymptotically increasing type. Solitons in such systems can survive in the presence of a weak potential but only with energies out of the interval of existence of linear quantum mechanical stationary states. |
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