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Nonlinearity and disorder: Classification and stability of nonlinear impurity modes

Bang, Ole; Rasmussen, Per Dalgaard; Christiansen, Peter; Sukhorukov, Andrey; Kivshar, Yuri


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...[Show more]

CollectionsANU Research Publications
Date published: 2001
Type: Journal article
Source: Physical Review E


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