Nonlinearity and disorder: Classification and stability of nonlinear impurity modes
Date
2001
Authors
Bang, Ole
Rasmussen, Per Dalgaard
Christiansen, Peter
Sukhorukov, Andrey
Kivshar, Yuri
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Abstract
Spatially localized nonlinear modes supported by a pointlike impurity, in the framework of the generalized nonlinear Schrodinger (NLS) equation were analyzed. Three possible types of such nonlinear impurity modes were considered, symmetric one- and two-hump modes and asymmetric one-hump mode. Their regions of existence and stability for both focusing and defocusing nonlinearity of a bulk medium and two different types of the impurity. An analytical stability criterion for nonlinear localized modes based on the results of the linear stability analysis of the generalized NLS equation was obtained.
Description
Keywords
Keywords: Eigenvalues and eigenfunctions; High energy physics; Impurities; Light propagation; Nonlinear equations; Optical resolving power; Solitons; System stability; Nonlinear Schrodinger (NLS) equation; Vakhitov-Kolokolov (VK) theory; Nonlinear optics
Citation
Collections
Source
Physical Review E
Type
Journal article