Open Journal of Mathematical Sciences
Vol. 7 (2023), Issue 1, pp. 10 – 18
ISSN: 2523-0212 (Online) 2616-4906 (Print)
DOI: 10.30538/oms2023.0195

An analytical method for finding exact solutions of a nonlinear partial differential equation arising in electrical engineering

Md. Nur Alam
Department of Mathematics, Pabna University of Science & Technology, Pabna-6600, Bangladesh; nuralam.pstu23@gmail.com; nuralam23@pust.ac.bd

Abstract

In this investigation, we aim to investigate the novel exact solutions of nonlinear partial differential equations (NLPDEs) arising in electrical engineering via the -expansion method. New acquired solutions are kink, particular kink, bright, dark, periodic combined-dark bright and combined-dark singular solitons, and hyperbolic functions solutions. The achieved distinct types of solitons solutions contain critical applications in engineering and physics. Numerous novel structures (3D, contour, and density plots) are also designed by taking the appropriate values of involved parameters. These solutions express the wave show of the governing models, actually.

Keywords:

Analytical method; MZK equation; Electrical engineering; Exact solution.