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Nonlinear Impurity Modes in Homogeneous and Periodic Media

Andrey A. Sukhorukov·Yuri S. Kivshar
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Abstract

We analyze the existence and stability of nonlinear localized waves described by the Kronig-Penney model with a nonlinear impurity. We study the properties of such waves in a homogeneous medium, and then analyze new effects introduced by periodicity of the medium parameters. In particular, 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 wave resonances.

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Andrey A. Sukhorukov, Yuri S. Kivshar. 2001-01-03. Nonlinear Impurity Modes in Homogeneous and Periodic Media. https://doi.org/10.1007/978-94-010-0542-5_22

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