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Chaos : Modulational instability in a purely nonlinear coupled complex Ginzburg…Landau equations through a nonlinear discrete transmission line

By Fabien II Ndzana, Alidou Mohamadou, and Timoléon C. Kofané

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Book Id: WPLBN0002169303
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 8 December 2008

Title: Chaos : Modulational instability in a purely nonlinear coupled complex Ginzburg…Landau equations through a nonlinear discrete transmission line  
Author: Fabien II Ndzana, Alidou Mohamadou, and Timoléon C. Kofané
Volume: Issue : December 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Chaos Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Ndzana, Alidou Mohamadou, And Timoléon C. Kofan, F. I. (n.d.). Chaos : Modulational instability in a purely nonlinear coupled complex Ginzburg…Landau equations through a nonlinear discrete transmission line. Retrieved from http://worldebookfair.com/


Description
Description: We study wave propagation in a nonlinear transmission line with dissipative elements. We show analytically that the telegraphers' equations of the electrical transmission line can be modeled by a pair of continuous coupled complex Ginzburg–Landau equations, coupled by purely nonlinear terms. Based on this system, we investigated both analytically and numerically the modulational instability (MI). We produce characteristics of the MI in the form of typical dependence of the instability growth rate on the wavenumbers and system parameters. Generic outcomes of the nonlinear development of the MI are investigated by dint of direct simulations of the underlying equations. We find that the initial modulated plane wave disintegrates into waves train. An apparently turbulent state takes place in the system during the propagation.

 

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