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Applicant:
Central University of Tamil Nadu 
Author:
SaïdouAbdoulkary, Alexis DanzabeAboubakar, MahamoudouAboubakar, AlidouMohamadou, Louis Kavitha 
Corresponding Authors:
L. Kavitha 
DOI #:
doi.org/10.1016/j.cnsns.2014.08.039 
Title:
Solitary wave solutions and modulational instability analysis of the nonlinear Schrödinger equation with higher-order nonlinear terms in the left-handed nonlinear transmission lines 
Journal:
Communications in Nonlinear Science and Numerical Simulation 
Year:
2015 
Volume:
22 
Page:
1288-1296 
Keywords:
The transmission line metamaterials, Cubic–quintic nonlinear Schrödinger equation, Modulational instability, Solitons 
Abstract:
We report the modulational instability (MI) analysis for the modulation equations governing the propagation of modulated waves in a practical left-handed nonlinear transmission lines with series of nonlinear capacitance. Considering the voltage in the spectral domain and the Taylor series around a certain modulation frequency, we show in the continuum limit, that the dynamics of localized signals is described by a nonlinear Schrödinger equation with a cubic–quintic nonlinear terms. The MI process is then examined and we derive the gain spectra of MI for the generation of solitonlike-object in the transmission line metamaterials. We emphasize on the effect of losses on the MI gain spectra. An exact kink-darklike solutions is derived through the auxiliary equation method. It comes out that the width of the darklike solution decreases as the attenuation constant increases. Our theoretical solution is in good agreement with our numerical observation. 
Entered by:
Kavitha Louis on 2020-09-02 
 
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