Artículo
Discrete embedded solitary waves and breathers in one-dimensional nonlinear lattices
Autor/es | Palmero Acebedo, Faustino
Molina Gálvez, Mario Ignacio Cuevas-Maraver, Jesús Kevrekidis, Panayotis G. |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada I |
Fecha de publicación | 2022-02 |
Fecha de depósito | 2022-03-16 |
Publicado en |
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Resumen | For a one-dimensional linear lattice, earlier work has shown how to systematically construct a slowly- decaying linear potential bearing a localized eigenmode embedded in the continuous spectrum. Here, we extend this idea ... For a one-dimensional linear lattice, earlier work has shown how to systematically construct a slowly- decaying linear potential bearing a localized eigenmode embedded in the continuous spectrum. Here, we extend this idea in two directions: The first one is in the realm of the discrete nonlinear Schrödinger, where the linear operator of the Schrödinger type is considered in the presence of a Kerr focusing or defocusing nonlinearity and the embedded linear mode is continued into the nonlinear regime as a discrete solitary wave. The second case is the Klein-Gordon setting, where the presence of a cubic nonlinearity leads to the emergence of embedded-in-the-continuum discrete breathers. In both settings, it is seen that the stability of the modes near the linear limit turns into instability as nonlinearity is increased past a critical value, leading to a dynamical delocalization of the solitary wave (or breathing) state. Finally, we suggest a concrete experiment to observe these embedded modes using a bi-inductive electrical lattice. |
Identificador del proyecto | P18-RT-3480
US-1380977 PID2019-110430GB-C21 PID2020-112620GB-I00 PID2019-108508GB-I00 |
Cita | Palmero Acebedo, F., Molina Gálvez, M.I., Cuevas-Maraver, J. y Kevrekidis, P.G. (2022). Discrete embedded solitary waves and breathers in one-dimensional nonlinear lattices. Physics Letters A, 425 (February), 127880-. |
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