Dark-bright discrete solitons: a numerical study of existence, stability and dynamics

the present work, we numerically explore the existence and stability properties of different types of configurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and dark solitons in discrete settings, starting from the anti-continuum limit. We find that while single d...

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Detalles Bibliográficos
Autores: Álvarez Chillida, María Azucena, Cuevas-Maraver, Jesús, Romero Romero, Francisco, Kevrekidis, Panayotis G.
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/24835
Acceso en línea:http://hdl.handle.net/11441/24835
Access Level:acceso abierto
Palabra clave:Solitons
Dark solitons
Discrete Nonlinear Schrödinger equations
Manakov model
Descripción
Sumario:the present work, we numerically explore the existence and stability properties of different types of configurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and dark solitons in discrete settings, starting from the anti-continuum limit. We find that while single discrete dark-bright solitons have similar stability properties to discrete dark solitons, their pairs may only be stable if the bright components are in phase and are always unstable if the bright components are out of phase. Pairs of dark-bright solitons with dark ones have similar stability properties as individual dark or dark-bright ones. Lastly, we consider collisions between dark-bright solitons and between a dark-bright one and a dark one. Especially in the latter and in the regime where the underlying lattice structure matters, we find a wide range of potential dynamical outcomes depending on the initial soliton speed.