Artículo
Stability of Solitary Waves and Vortices in a 2D Nonlinear Dirac Model
Autor/es | Cuevas-Maraver, Jesús
Kevrekidis, Panayotis G. Saxena, Avadh Comech, Andrew Lan, Ruomeng |
Departamento | Universidad de Sevilla. Departamento de Fisica Aplicada I |
Fecha de publicación | 2016 |
Fecha de depósito | 2016-07-05 |
Publicado en |
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Resumen | We explore a prototypical two-dimensional massive model of the nonlinear Dirac type and examine its solitary wave and vortex solutions. In addition to identifying the stationary states, we provide a systematic spectral ... We explore a prototypical two-dimensional massive model of the nonlinear Dirac type and examine its solitary wave and vortex solutions. In addition to identifying the stationary states, we provide a systematic spectral stability analysis, illustrating the potential of spinor solutions to be neutrally stable in a wide parametric interval of frequencies. Solutions of higher vorticity are generically unstable and split into lower charge vortices in a way that preserves the total vorticity. These conclusions are found not to be restricted to the case of cubic two-dimensional nonlinearities but are found to be extended to the case of quintic nonlinearity, as well as to that of three spatial dimensions. Our results also reveal nontrivial differences with respect to the better understood nonrelativistic analogue of the model, namely the nonlinear Schrödinger equation. |
Agencias financiadoras | Russian Science Foundation National Science Foundation (NSF). United States |
Identificador del proyecto | 14-50-00150
DMS-1312856 |
Cita | Cuevas-Maraver, J., Kevrekidis, P.G., Saxena, A., Comech, A. y Lan, R. (2016). Stability of Solitary Waves and Vortices in a 2D Nonlinear Dirac Model. Physical Review Letters, 116 (21), 214101-. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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PRL_cuevas_2016_stability.pdf | 570.4Kb | [PDF] | Ver/ | |