Moving embedded solitons

Alan R. Champneys*, Boris A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 two), 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.

Original languageEnglish
Pages (from-to)L547-L553
JournalJournal of Physics A: Mathematical and General
Issue number50
StatePublished - 17 Dec 1999


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