title: Nonlinear localized waves in a periodic medium.
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 state, and also reveal a generic physical mechanism of the oscillatory wave instabilities associated with the band-gap resonances.
authors.affiliation: Nonlinear Physics Group, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia.
authors.forename: A A
authors.initials: AA
authors.lastname: Sukhorukov
authors.forename: Y S
authors.initials: YS
authors.lastname: Kivshar