STRONGLY LOCALIZED MODES IN DISCRETE-SYSTEMS WITH QUADRATIC NONLINEARITY

Authors
DARMANYAN S KOBYAKOV A LEDERER F
Citation
S. Darmanyan et al., STRONGLY LOCALIZED MODES IN DISCRETE-SYSTEMS WITH QUADRATIC NONLINEARITY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 2344-2349
Citations number
32
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
2
Year of publication
1998
Part
B
Pages
2344 - 2349
Database
ISI
SICI code
1063-651X(1998)57:2<2344:SLMIDW>2.0.ZU;2-J
Abstract
We report the existence of bright and dark families of strongly locali zed modes in discrete systems with a quadratic nonlinearity. It is sho wn analytically and confirmed numerically that the second-harmonic fie ld may form stable bound states with fundamental fields of different t opologies. Furthermore, we found different types of solutions having a nalogs neither in other discrete models nor in continuum models and st udied the background stability of dark modes.