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Bifurcations and Stability of Gap Solitons in Periodic Potentials

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Date

2004

Authors

Pelinovsky, Dmitry
Sukhorukov, Andrey
Kivshar, Yuri

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

Abstract

The existence, internal modes and stability of gap solitons in nonlinear periodic systems are discussed. The bifurcations of gap solitons from the band edges of the Floquet-Bloch spectrum are also discussed. It is found that gap solitons can appear near all upper or lower band edges of the spectrum, for defocusing or focusing nonlinearity, respectively. The results show that two types of gap solitons can bifurcate from each band edge and one out of those two is always unstable.

Description

Keywords

Keywords: Bifurcation (mathematics); Crystals; Eigenvalues and eigenfunctions; Light modulation; Light scattering; Nonlinear systems; Optical waveguides; Photons; Problem solving; Refractive index; Spectrum analysis; Band edges; Gap solitons; Periodic potentials; P

Citation

URI

http://hdl.handle.net/1885/77071

Collections

ANU Research Publications

Source

Physical Review E

Type

Journal article

Book Title

Entity type

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DOI

10.1103/PhysRevE.70.036618

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