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Nonlinearity and disorder: Classification and stability of nonlinear impurity modes

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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

URI

http://hdl.handle.net/1885/67735

Collections

ANU Research Publications

Source

Physical Review E

Type

Journal article

Book Title

Entity type

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