Moving Embedded Solitons

Details Moving Embedded Solitons Moving Embedded Solitons

1999-11-19

arxiv.org/abs/physics/9911043v1

Physics

Optics

9 pages 2 figures

Scientific paper

The first theoretical results are reported predicting {\em moving} solitons residing inside ({\it 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 {\it semi}-stable nonlinearly. Estimates show that moving ESs may be experimentally observed as $\sim$10 fs pulses with velocity $\leq 1/10$th that of light.

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