DNLS with Impurities

The past few years have witnessed an explosion of interest in discrete models and intrinsic localized modes (discrete breathers or solitons) that has been summarized in a number of recent reviews [1–3]. This growth has been motivated by numerous applications of nonlinear dynamical lattice models in...

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Detalles Bibliográficos
Autores: Cuevas-Maraver, Jesús, Palmero Acebedo, Faustino, Kevrekidis, Panayotis G. (Coordinador)
Tipo de recurso: capítulo de libro
Estado:Versión aceptada para publicación
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:11441/98891
Acceso en línea:https://hdl.handle.net/11441/98891
https://doi.org/10.1007/978-3-540-89199-4_19
Access Level:acceso abierto
Palabra clave:Solitary Wave
Localize Mode
Unstable Manifold
Impurity Parameter
Nonlinear Mode
Descripción
Sumario:The past few years have witnessed an explosion of interest in discrete models and intrinsic localized modes (discrete breathers or solitons) that has been summarized in a number of recent reviews [1–3]. This growth has been motivated by numerous applications of nonlinear dynamical lattice models in areas as broad and diverse as the nonlinear optics of waveguide arrays [4], the dynamics of Bose–Einstein condensates in periodic potentials [5, 6], micro-mechanical models of cantilever arrays [7], or even simple models of the complex dynamics of the DNA double strand [8]. Arguably, the most prototypical model among the ones that emerge in these settings is the Discrete Nonlinear Schrödinger (DNLS) equation, the main topic of this book.