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Long-time dynamics of modulated waves in a nonlinear discrete LC transmission line.

作者信息

Yemélé David, Marquié Patrick, Bilbault Jean Marie

机构信息

LE2I, FRE CNRS 2309, Université de Bourgogne, Boîte Postale 47870, 21078 Dijon Cedex, France.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1 Pt 2):016605. doi: 10.1103/PhysRevE.68.016605. Epub 2003 Jul 14.

DOI:10.1103/PhysRevE.68.016605
PMID:12935268
Abstract

The long-time dynamics of modulated waves in a nonlinear LC transmission line is investigated. Considering the higher-order nonlinear Schrödinger 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.

摘要

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