Diverse Soliton Structures of the ($2+1$)-Dimensional Nonlinear Electrical Transmission Line Equation

Abstract

In this work, the ( 2 + 1 )-dimensional nonlinear electrical transmission line equation (NETLE) is investigated by applying three recent technologies, namely, the variational approach, Hamiltonian approach, and energy balance approach. Diverse exact soliton solutions such as the bright, bright-like, kinky bright, bright-dark soliton, and periodic soliton solutions are successfully constructed. The outlines of the different solutions are shown in the form of the 3-D plot with the help of the Wolfram Mathematica. It reveals that the used methods are concise and effective and are expected to provide some inspiration for the study of travelling wave solutions of the PDEs in physics.

Diverse soliton solutions to the nonlinear partial differential equations related to electrical transmission line

“…On the other hand, the (2+1)-dimensional NETLE was studied by Kumar and El-Ganaini [36] to investigate the traveling and localized solitary wave solutions using various techniques. Li and Wang [43] examined this equation using three distinct methods to derive a variety of soliton solutions. Tebue and Zayed [44] successfully derived exact soliton solutions for the (2 + 1)-dimensional NETLE.…”