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Nonlinear supratransmission as a fundamental instability

arXiv:nlin/0310007 · doi:10.1016/j.physleta.2003.10.012

Abstract

The nonlinear supratransmission is the property of a nonlinear system possessing a natural forbidden band gap to transmit energy of a signal with a frequency in the gap by means of generation of nonlinear modes (gap solitons). This process is shown to result from a generic instability of the evanescent wave profile generated in a nonlinear medium by the incident signal.

4 figures, to appear in Physics Letters A