English

Nonlinear localized waves in a periodic medium

Pattern Formation and Solitons 2007-05-23 v1 Condensed Matter Optics

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.

Keywords

Cite

@article{arxiv.nlin/0010055,
  title  = {Nonlinear localized waves in a periodic medium},
  author = {Andrey A. Sukhorukov and Yuri S. Kivshar},
  journal= {arXiv preprint arXiv:nlin/0010055},
  year   = {2007}
}

Comments

4 pages, 5 figures