Repositorio de producción científica de la Universidad de Sevilla

Refined empirical stability criterion for nonlinear Schrödinger solitons under spatiotemporal forcing

Opened Access Refined empirical stability criterion for nonlinear Schrödinger solitons under spatiotemporal forcing

Citas

buscar en

Estadísticas
Icon
Exportar a
Autor: Mertens, Franz G.
Quintero, Niurka R.
Barashenkov, Igor V.
Bishop, Alan R.
Departamento: Universidad de Sevilla. Departamento de Física Aplicada I
Fecha: 2011-08-25
Publicado en: Physical Review E, 2011, 84, (2), 026614 : 1-10
Tipo de documento: Artículo
Resumen: We investigate the dynamics of traveling oscillating solitons of the cubic nonlinear Schrödinger (NLS) equation under an external spatiotemporal forcing of the form f(x,t)=aexp[iK(t)x]. For the case of time-independent forcing, a stability criterion for these solitons, which is based on a collective coordinate theory, was recently conjectured. We show that the proposed criterion has a limited applicability and present a refined criterion which is generally applicable, as confirmed by direct simulations. This includes more general situations where K(t) is harmonic or biharmonic, with or without a damping term in the NLS equation. The refined criterion states that the soliton will be unstable if the “stability curve” p(v), where p(t) and v(t) are the normalized momentum and the velocity of the soliton, has a section with a negative slope. In the case of a constant K and zero damping, we use the collective coordinate solutions to compute a “phase portrait” of the soliton where its dynami...
[Ver más]
Tamaño: 1.884Mb
Formato: PDF

URI: http://hdl.handle.net/11441/23528

DOI: 10.1103/PhysRevE.84.026614

Ver versión del editor
Ver versión del editor

Mostrar el registro completo del ítem


Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional

Este registro aparece en las siguientes colecciones