Phys. Rev. Lett. 87, 083901 (2001) [4 pages]Nonlinear Localized Waves in a Periodic MediumReceived 31 October 2000; published 1 August 2001 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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.083901
DOI:
10.1103/PhysRevLett.87.083901
PACS:
42.70.Qs, 68.65.-k, 74.80.Dm, 75.70.Cn
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