Vibrations and Oscillatory Instabilities of Gap Solitons

I. V. Barashenkov; D. E. Pelinovsky; E. V. Zemlyanaya

doi:10.1103/PhysRevLett.80.5117

Vibrations and Oscillatory Instabilities of Gap Solitons

I. V. Barashenkov, D. E. Pelinovsky, and E. V. Zemlyanaya

Phys. Rev. Lett. 80, 5117 – Published 8 June 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.

Received 15 January 1998

DOI:https://doi.org/10.1103/PhysRevLett.80.5117

Authors & Affiliations

I. V. Barashenkov^*, D. E. Pelinovsky^†, and E. V. Zemlyanaya^‡

Department of Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa

^*Electronic address: igor@uctvms.uct.ac.za
^†Current address: Department of Mathematics, University of Toronto, 100 St. George Street, Toronto, Ontario, Canada M5S 3G3. Electronic address: dmpeli@math.toronto.edu
^‡Permanent address: Laboratory for Computing Techniques and Automation, Joint Institute for Nuclear Research, Dubna, 141980 Russia. Electronic address: zemel@cv.jinr.ru