Solitons for the cubic-quintic nonlinear Schrödinger equation with time and space modulated coefficients
In this paper, we construct, by means of similarity transformations, explicit solutions to the cubic–quintic nonlinear Schrödinger equation with potentials and nonlinearities depending on both time and spatial coordinates. We present the general approach and use it to calculate bright and dark solit...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/24825 |
| Acceso en línea: | http://hdl.handle.net/11441/24825 https://doi.org/10.1088/1751-8113/42/16/165201 |
| Access Level: | acceso abierto |
| Palabra clave: | Cubic-quintic nonlinear Schrödinger equations Transformations Bright and dark solitons Bose-Einstein condensates |
| Sumario: | In this paper, we construct, by means of similarity transformations, explicit solutions to the cubic–quintic nonlinear Schrödinger equation with potentials and nonlinearities depending on both time and spatial coordinates. We present the general approach and use it to calculate bright and dark soliton solutions for nonlinearities and potentials of physical interest in applications to Bose–Einstein condensates and nonlinear optics. |
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