Authors: Muhammad Moneeb Tariq, Moazzma Kashaf , Hina Shamim and Moiza Shaf

JSA-Vol. 3 (2024),

Abstract: This study focuses on deriving precise solutions for the nonlinear low-pass electrical equation using the modified Khater approach. Recognized as a modern and accurate analytical method for nonlinear evolution equations, the modified Khater approach has proven effective by generating multiple solutions for the model under consideration. The low-pass electrical equation is critical in studying optical solitons, which are stable light pulses that maintain their shape over long distances. This equation helps clarify the behavior and stability of these solitons. Through an appropriate wave transformation, the governing equation is reduced to an ordinary differential equation, allowing for the derivation of trigonometric, hyperbolic, and rational solutions using the prescribed methods. The research includes graphical representations of the selected solutions, which provide insights into the model’s physical behavior. These visualizations, created by selecting suitable values for the arbitrary parameters, enhance understanding of the system’s dynamics. All calculations in this work were rigorously carried out using Mathematica and Maple software, ensuring both accuracy and reliability in analyzing the derived solutions.