I.V. Barashenkov, D.E. Pelinovsky, and E.V. Zemlyanaya
Vibrations and oscillatory instabilities of gap solitons
Phys. Rev. Lett. 80, 5117-5120 (1998)
Abstract:
Stability of optical gap solitons is analyzed within
a coupled-mode theory. Lower intensity solitons are shown
to always possess a vibration mode responsible for their
long-lived oscillations. As the intensity of the soliton
is increased, the vibration mode falls into resonance with
two branches of the long-wavelength radiation
producing a cascade of oscillatory instabilities of
higher intensity solitons.
Keywords:
NONLINEAR SPINOR FIELDS, QUADRATIC NONLINEARITIES,
STABILITY CRITERION, PERIODIC MEDIA