TY - JOUR
T1 - Moving embedded solitons
AU - Champneys, Alan R.
AU - Malomed, Boris A.
PY - 1999/12/17
Y1 - 1999/12/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0033579247&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/32/50/103
DO - 10.1088/0305-4470/32/50/103
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AN - SCOPUS:0033579247
SN - 0305-4470
VL - 32
SP - L547-L553
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 50
ER -