Instabilities and bifurcations of nonlinear impurity modes

Panayotis G. Kevrekidis; Yuri S. Kivshar; Alexander S. Kovalev

Instabilities and bifurcations of nonlinear impurity modes

Panayotis G. Kevrekidis^*, Yuri S. Kivshar, Alexander S. Kovalev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

Structure and stability of nonlinear impurity modes in the discrete nonlinear Schrödinger equation were discussed. The effects of interplay between discreteness, nonlinearity and disorder were also studied. The theoretical and numerical criteria for the transition between different localized states were also discussed.

Original language	English
Article number	046604
Pages (from-to)	466041-466048
Number of pages	8
Journal	Physical Review E
Volume	67
Issue number	4 2
Publication status	Published - Apr 2003

Cite this

@article{26094c49d41546aa883f757d58b075a1,

title = "Instabilities and bifurcations of nonlinear impurity modes",

abstract = "Structure and stability of nonlinear impurity modes in the discrete nonlinear Schr{\"o}dinger equation were discussed. The effects of interplay between discreteness, nonlinearity and disorder were also studied. The theoretical and numerical criteria for the transition between different localized states were also discussed.",

author = "Kevrekidis, {Panayotis G.} and Kivshar, {Yuri S.} and Kovalev, {Alexander S.}",

year = "2003",

month = apr,

language = "English",

volume = "67",

pages = "466041--466048",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

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TY - JOUR

T1 - Instabilities and bifurcations of nonlinear impurity modes

AU - Kevrekidis, Panayotis G.

AU - Kivshar, Yuri S.

AU - Kovalev, Alexander S.

PY - 2003/4

Y1 - 2003/4

N2 - Structure and stability of nonlinear impurity modes in the discrete nonlinear Schrödinger equation were discussed. The effects of interplay between discreteness, nonlinearity and disorder were also studied. The theoretical and numerical criteria for the transition between different localized states were also discussed.

AB - Structure and stability of nonlinear impurity modes in the discrete nonlinear Schrödinger equation were discussed. The effects of interplay between discreteness, nonlinearity and disorder were also studied. The theoretical and numerical criteria for the transition between different localized states were also discussed.

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M3 - Article

SN - 2470-0045

VL - 67

SP - 466041

EP - 466048

JO - Physical Review E

JF - Physical Review E

IS - 4 2

M1 - 046604

ER -

Instabilities and bifurcations of nonlinear impurity modes

Abstract

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