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Nonlinear localized waves in a periodic medium

Andrey A. Sukhorukov·Yuri S. Kivshar
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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 states, and also reveal an important physical mechanism of the oscillatory wave instabilities associated with the band-gap resonances.

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Andrey A. Sukhorukov, Yuri S. Kivshar. 2000-10-31. Nonlinear localized waves in a periodic medium. https://doi.org/10.1103/physrevlett.87.083901

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