Nonlinear supratransmission in multicomponent systems

Authors :: Anghel-Vasilescu, P.
Dorignac, J.
Geniet, F.
Leon, J.
Taki, M.
Source :: Phys. Rev. Lett. 105 (2010) 074101
Publication Year :: 2010
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.<br />Comment: 4 pages, 3 figures