Moving Embedded Solitons
Abstract
The first theoretical results are reported predicting moving solitons residing inside ( embedded into) the continuous spectrum of radiation modes. The model taken is a Bragg-grating medium with Kerr nonlinearity and additional second-derivative (wave) terms. The moving embedded solitons (ESs) are doubly isolated (of codimension 2), but, nevertheless, structurally stable. Like quiescent ESs, moving ESs are argued to be stable to linear approximation, and semi-stable nonlinearly. Estimates show that moving ESs may be experimentally observed as 10 fs pulses with velocity ≤ 1/10th that of light.
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