Competent closed form soliton solutions to the nonlinear transmission and the low-pass electrical transmission lines

2020 ◽  
Vol 135 (7) ◽  
Author(s):  
Md. Abdul Kayum ◽  
M. Ali Akbar ◽  
M. S. Osman
Keyword(s):  
Closed Form ◽  
Transmission Lines ◽  
Soliton Solutions ◽  
Electrical Transmission ◽  
Nonlinear Transmission ◽  
Low Pass

scholarly journals Wave Propagations in Nonlinear Low-Pass Electrical Transmission Lines through Optical Fiber Medium

2022 ◽  
Vol 2022 ◽  
pp. 1-16
Author(s):  
Aniqa Zulfiqar ◽  
Jamshad Ahmad ◽  
Attia Rani ◽  
Qazi Mahmood Ul Hassan
Keyword(s):  
Transmission Lines ◽  
Model Equation ◽  
Evolution Equations ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
Electrical Transmission ◽  
Low Pass ◽  
Physical Importance ◽  
Complex Phenomena ◽  
Soliton Wave Solutions

The present article discovers the new soliton wave solutions and their propagation in nonlinear low-pass electrical transmission lines (NLETLs). Based on an innovative Exp-function method, multitype soliton solutions of nonlinear fractional evolution equations of NLETLs are established. The equation is reformulated to a fractional-order derivative by using the Jumarie operator. Some new results are also presented graphically to understand the real physical importance of the studied model equation. The physical interpretation of waves is represented in the form of three-dimensional and contour graphs to visualize the underlying dynamic behavior of these solutions for particular values of the parameters. Moreover, the attained outcomes are generally new for the considered model equation, and the results show that the used method is efficient, direct, and concise which can be used in more complex phenomena.

scholarly journals Analytical studies on waves in nonlinear transmission line media

2019 ◽  
Vol 9 (2) ◽  
pp. 100-104 ◽  
Author(s):  
Zehra Pinar
Keyword(s):  
Transmission Line ◽  
Exact Solutions ◽  
Transmission Lines ◽  
Auxiliary Equation ◽  
Electrical Transmission ◽  
Nonlinear Transmission Line ◽  
Auxiliary Equation Method ◽  
Nonlinear Transmission ◽  
Line Equation ◽  
Lossy Transmission

In this study, we introduce the lossy nonlinear transmission line equation, which is the dissipative-dispersive equation and an important problem of electrical transmission lines. For the engineers and physicist, the equation and its exact solutions are important so to obtain the exact solutions; one of the modifications of auxiliary equation method based on Chebyshev differential equation is studied. The results are discussed and given in details. Recently, the studies of lossy transmission line equation have been challenging, thus, it is believed that the proposed solutions will be key part of further studies for waves in nonlinear transmission line media, which has mixed dissipative-dispersive behavior.

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