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RESEARCH PRODUCT
Long-time dynamics of modulated waves in a nonlinear discrete LC transmission line.
Patrick MarquiéJean-marie BilbaultDavid Yemelesubject
PhysicsWave propagationbusiness.industryDynamics (mechanics)Magnitude (mathematics)Mechanics01 natural sciencesInstability010305 fluids & plasmassymbols.namesakeNonlinear systemAmplitudeOptics[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Transmission line0103 physical sciencessymbols[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]010306 general physicsbusinessNonlinear Schrödinger equationdescription
International audience; The long-time dynamics of modulated waves in a nonlinear LC transmission line is investigated. Considering the higher-order nonlinear Schrodinger equation, we define analytically the conditions leading to the instability of modulated waves. We show that two kinds of instabilities may develop in the network depending on the frequency range of the chosen carrier wave and on the magnitude of its initial amplitude, which is confirmed by our numerical simulations. The nonreproducibility of numerical experiments on modulated waves is also considered.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-07-01 | Physical review. E, Statistical, nonlinear, and soft matter physics |