Self-consistent nonlinear transmission line model of standing wave effects in a capacitive discharge

2004 ◽  
Vol 11 (5) ◽  
pp. 1775-1785 ◽  
Author(s):  
P. Chabert ◽  
J. L. Raimbault ◽  
J. M. Rax ◽  
M. A. Lieberman
Keyword(s):  
Transmission Line ◽  
Standing Wave ◽  
Transmission Line Model ◽  
Nonlinear Transmission Line ◽  
Line Model ◽  
Capacitive Discharge ◽  
Nonlinear Transmission ◽  
Self Consistent ◽  
Wave Effects

Exact and soliton solutions to nonlinear transmission line model

2016 ◽  
Vol 87 (2) ◽  
pp. 767-773 ◽  
Author(s):  
M. M. El-Borai ◽  
H. M. El-Owaidy ◽  
H. M. Ahmed ◽  
A. H. Arnous
Keyword(s):  
Transmission Line ◽  
Soliton Solutions ◽  
Transmission Line Model ◽  
Nonlinear Transmission Line ◽  
Line Model ◽  
Nonlinear Transmission

scholarly journals Invariant Solutions and Bifurcation Analysis of the Nonlinear Transmission Line Model

2021 ◽  
Author(s):  
Sachin Kumar
Keyword(s):  
Transmission Line ◽  
Soliton Solutions ◽  
Similarity Solutions ◽  
Lie Symmetry ◽  
Optimal System ◽  
Transmission Line Model ◽  
Nonlinear Transmission Line ◽  
Line Model ◽  
Similarity Reduction ◽  
Nonlinear Transmission

Abstract In this paper, the nonlinear transmission line model with the power law nonlinearity and the constant capacitance and voltage relationship is studied using Lie symmetry analysis. Corre- sponding to the infinitesimals obtained, using commutation relations, abelian and non abelian Lie subalgebras are obtained. Also, using the adjoint table, the one dimensional optimal system of subalgebra is presented. Based on the optimal system, corresponding Lie symmetry reduc- tions are obtained. Moreover, variety of new similarity solutions in the form of trigonometric functions, hyperbolic functions are obtained. Corresponding to one similarity reduction, by bifurcation of dynamical system, the stable and unstable regions are determined, which show the existence of soliton solutions from the nonlinear dynamics view point. Some of the obtained solutions are represented graphically and observations are also discussed.

scholarly journals A Nonlinear Transmission Line Model for Simulating Distributed SIS Frequency Multipliers

2020 ◽  
Vol 10 (3) ◽  
pp. 246-255 ◽  
Author(s):  
John D. Garrett ◽  
Hawal Rashid ◽  
Ghassan Yassin ◽  
Vincent Desmaris ◽  
Alexey B. Pavolotsky ◽  
...  
Keyword(s):  
Transmission Line ◽  
Frequency Multipliers ◽  
Transmission Line Model ◽  
Nonlinear Transmission Line ◽  
Line Model ◽  
Nonlinear Transmission
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