Nonlinear supratransmission in multicomponent systems

A method is proposed to solve the challenging problem of determining the supratransmission threshold (onset of instability of harmonic boundary driving inside a band gap) in multicomponent nonintegrable nonlinear systems. It is successfully applied to the degenerate three-wave resonant interaction i...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 2010-08, Vol.105 (7), p.074101-074101, Article 074101
Main Authors: Anghel-Vasilescu, P, Dorignac, J, Geniet, F, Leon, J, Taki, M
Format: Article
Language:English
Subjects:
Nonlinear Sciences
Pattern Formation and Solitons
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A method is proposed to solve the challenging problem of determining the supratransmission threshold (onset of instability of harmonic boundary driving inside a band gap) in multicomponent nonintegrable nonlinear systems. It is successfully applied to the degenerate three-wave resonant interaction in a birefringent quadratic medium where the process generates spatial gap solitons. No analytic expression is known for this model showing the broad applicability of the method to nonlinear systems.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.105.074101