Oscillatory instabilities of gap solitons: a numerical study

Authors
Barashenkov, IV Zemlyanaya, EV
Citation
Iv. Barashenkov et Ev. Zemlyanaya, Oscillatory instabilities of gap solitons: a numerical study, COMP PHYS C, 126(1-2), 2000, pp. 22-27
Citations number
24
Categorie Soggetti
Physics
Journal title
COMPUTER PHYSICS COMMUNICATIONS
ISSN journal
00104655 → ACNP
Volume
126
Issue
1-2
Year of publication
2000
Pages
22 - 27
Database
ISI
SICI code
0010-4655(200004)126:1-2<22:OIOGSA>2.0.ZU;2-K
Abstract
We study stability of optical gap solitons, close relatives of spinor solit ons of nonlinear classical held theory. The analysis of the associated line arized eigenvalue problem demonstrates the existence of a cascade of oscill atory and translational instabilities. The numerical technique involved is a combination of the Fourier transform and continuous analogue of Newton's method. (C) 2000 Elsevier Science B.V. All rights reserved.