Nonlinear supratransmission in multicomponent systems
Pattern Formation and Solitons
2010-08-12 v1
Abstract
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.
Cite
@article{arxiv.1008.1920,
title = {Nonlinear supratransmission in multicomponent systems},
author = {P. Anghel-Vasilescu and J. Dorignac and F. Geniet and J. Leon and M. Taki},
journal= {arXiv preprint arXiv:1008.1920},
year = {2010}
}
Comments
4 pages, 3 figures