Nonlinear supratransmission in multicomponent systems

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.

4 pages, 3 figures

References in corpus (9)

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Cited by in corpus (4)

• On the wave propagation analysis and supratransmission prediction of a metastable modular metastructure for non-reciprocal energy transmission
• Generation of travelling sine-Gordon breathers in noisy long Josephson junctions
• All-phononic Digital Transistor on the Basis of Gap-Soliton Dynamics in Anharmonic Oscillator Ladder
• Supratransmission-induced travelling breathers in long Josephson junctions