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

Abstract

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.

Solitary waves of M-fractional low-pass nonlinear electrical transmission line model arising in network system

“…In recent years, scientists have proposed efficient techniques for understanding the physical structures of the aforementioned model. For instance, modified simple equation [9], Jacobi elliptic function expansion method [10], exp-function method [11][12][13], modified mathematical technique [14],…”

“…As seen from the literature, classical derivatives and different fractional derivative definitions (conformable, Riemann-Liouville derivative, etc.) have been used to study the NLETL model using various methods [11,15,17,18]. Our aim in this study, investigate fractional effects on the dynamics of solitary waves of the lowpass nonlinear electrical transmission lines model in the sense of the truncated M-fractional by using two efficient analytical techniques.…”