Nonlinear Impurity Modes in Homogeneous and Periodic Media
Pattern Formation and Solitons
2018-04-23 v1 Condensed Matter
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.
Keywords
Cite
@article{arxiv.nlin/0101009,
title = {Nonlinear Impurity Modes in Homogeneous and Periodic Media},
author = {Andrey A. Sukhorukov and Yuri S. Kivshar},
journal= {arXiv preprint arXiv:nlin/0101009},
year = {2018}
}
Comments
11 pages, 3 figures; To be published in: Proceedings of the NATO Advanced Research Workshop "Nonlinearity and Disorder: Theory and Applications" (Tashkent, 2-6 Oct, 2000) Editors: P.L. Christiansen and F.K. Abdullaev (Kluwer, 2001)