Discovering novel soliton solutions for (3+1)-modified fractional Zakharov–Kuznetsov equation in electrical engineering through an analytical approach

• Published in: Optical and quantum electronics Vol. 55; no. 13
• Main Authors: Alqhtani, Manal, Saad, Khaled M., Shah, Rasool, Hamanah, Waleed M.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.12.2023; Springer Nature B.V
• Subjects: Characterization and Evaluation of Materials; Computer Communication Networks; Electrical Engineering; Graphical representations; Lasers; Optical Devices; Optics; Partial differential equations; Photonics; Physics; Physics and Astronomy; Solitary waves; Transmission lines; Primary 34A08; 33C45; Travelling wave solutions; 41A30; (3+1)-Fractional modified Zakharov–Kuznetsov equation; Secondary 26A33; 35A22; Wave transformation; Modified extended direct algebraic method; Fractional partial differential equations; 65N22; Non linear ordinary differential equation
• ISSN: 0306-8919; 1572-817X
• DOI: 10.1007/s11082-023-05407-2

In recent years, the modified Extended Direct Algebraic Method (mEDAM) has demonstrated to be an effective method for finding novel soliton solutions to nonlinear Fractional Partial Differential Equations that appear in the fields of science and engineering. In this study, mEDAM is used to explore special soliton solutions for the (3+1)-Fractional Modified Zakharov–Kuznetsov Equation (FMZKE) arising in electrical engineering which is first mathematically modeled through the implementation of Kirchhoff’s Law to the nonlinear electrical transmission line circuit. The wave behaviours of various soliton solutions are graphically represented using three-dimensional (3D) graphs which provide a clear and thorough explanation of the usefulness and high performance of the suggested method. The acquired results offer helpful insights to the behavior and dynamics of the FMZKE, leading to a more deeply comprehending of the model and its applications in various fields.