Nonlinear localized waves in a periodic medium

Details Nonlinear localized waves in a periodic medium Nonlinear localized waves in a periodic medium

2000-10-31

arxiv.org/abs/nlin/0010055v1

Phys. Rev. Lett. 87, 083901(1-4) (2001)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.87.083901

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.

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