A Study of the Soliton Solutions with an Intrinsic Fractional Discrete Nonlinear Electrical Transmission Line

This study aims to identify soliton structures as an inherent fractional discrete nonlinear electrical transmission lattice. Here, the analysis is founded on idea that properties of a capacitor typically contain non-integer-order time derivative in realistic system. We construct non-integer order partial differential equation such voltage dynamics using Kirchhoff’s principles for model under study. It was discovered behavior newly generated solutions impacted by both and connected parameters. Regardless structure, fractional-order alters propagation velocity wave, thus bringing up localized framework low coupling coefficient values. The generalized auxiliary method drove us these solitary while employing modified Riemann–Liouville derivatives complex transform. As well addressing sensitivity testing, we also investigate how our model’s altered dynamical shows quasi-periodic properties. Some randomly selected are shown graphically physical interpretation, conclusions held at end.