Nonlinear supratransmission in multicomponent systems

Details Nonlinear supratransmission in multicomponent systems Nonlinear supratransmission in multicomponent systems

2010-08-11

arxiv.org/abs/1008.1920v1

Phys. Rev. Lett. 105 (2010) 074101

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.105.074101

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.

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