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Nonlinear localized waves in a periodic medium

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Authors

Sukhorukov, Andrey
Kivshar, Yuri

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American Physical Society

Abstract

We analyze the existence and stability of nonlinear localized waves in a periodic medium described by the Kronig-Penney model with a nonlinear defect. We demonstrate the existence of a novel type of stable nonlinear band-gap localized state, and also reveal a generic physical mechanism of the oscillatory wave instabilities associated with the band-gap resonances.

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Citation

Physical Review Letters 87.8 (2001): 083901/1-4

Source

Physical Review Letters

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