1999/11/19 by Alan R Champneys, Champneys, Alan R, Boris A Malomed +1
Physics and Astronomy · #FOS: Physical sciences #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS) #nlin.PS #physics.optics
paper · pdf · doi:10.48550/arxiv.physics/9911043
9 pages 2 figures
arxiv created 1999/11/19 · arxiv updated 2009/11/30
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 ∼10 fs pulses with velocity ≤ 1/10th that of light.