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RESEARCH PRODUCT
Influence of a nonlinear coupling on the supratransmission effect in modified sine-Gordon and Klein–Gordon lattices
Bernard EssimbiBertrand BodoRoland AlimaRoland AlimaSaverio MorfuPatrick Marquiésubject
General MathematicsLocalized modesGeneral Physics and Astronomy01 natural sciences010305 fluids & plasmassymbols.namesake[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Control theorySoliton0103 physical sciences[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Sine010306 general physicsKlein–Gordon equationNonlinear couplingNonlinear Sciences::Pattern Formation and SolitonsPhysicsCouplingApplied MathematicsStatistical and Nonlinear Physicsklein-GordonLinear couplingNonlinear systemAmplitudesine-GordonQuantum electrodynamicssymbolsSolitonsupratransmissiondescription
International audience; In this paper, we analyze the conditions leading to the nonlinear supratransmission phenomenon in two different models: a modified fifth order Klein–Gordon system and a modified sine-Gordon system. The modified models considered here are those with mixed coupling, the pure linear coupling being associated with a nonlinear coupling. Especially, we numerically quantify the influence of the nonlinear coupling coefficient on the threshold amplitude which triggers the nonlinear supratransmission phenomenon. Our main result shows that, in both models, when the nonlinear coupling coefficient increases, the threshold amplitude triggering the nonlinear supratransmission phenomenon decreases.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-07-01 |