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