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

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...

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Bibliographic Details
Published in:Mathematical problems in engineering 2022, Vol.2022, p.1-16
Main Authors: Zulfiqar, Aniqa, Ahmad, Jamshad, Rani, Attia, Ul Hassan, Qazi Mahmood
Format: Article
Language:English
Subjects:
Fluid dynamics
Graphical representations
Operators (mathematics)
Optical fibers
Propagation
Signal processing
Solitary waves
Transmission lines
Wave propagation
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/9978771