Abstract
We analyze the existence and stability of nonlinear localized waves in a system described by the Kronig-Penney model with a nonlinear impurity. First, we study the properties of such waves in a homogeneous medium, and then analyze new effects introduced by step-like 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 of localized modes associated with the band-gap wave resonances.
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Sukhorukov, A.A., Kivshar, Y.S. (2001). Nonlinear Impurity Modes in Homogeneous and Periodic Media. In: Abdullaev, F., Bang, O., Sørensen, M.P. (eds) Nonlinearity and Disorder: Theory and Applications. NATO Science Series, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0542-5_22
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DOI: https://doi.org/10.1007/978-94-010-0542-5_22
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