Abstract
The existence and stability of nonlinear localized waves in periodic media was analysed by means of the Kronig-Penney model. The existence of a novel type of stable nonlinear band-gap localized state was deduced, and a generic mechanism for the oscillatory wave instabilities associated with the band-gap resonances was obtained. The analysis included a study of band structure, localized waves and linearity defects by use of wave equations, matrix algebra and frequency response plots.
| Original language | English |
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| Article number | 083901 |
| Pages (from-to) | 839011-839014 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 87 |
| Issue number | 8 |
| Publication status | Published - 20 Aug 2001 |