Closed-Form Solutions in a Magneto-Electro-Elastic Circular Rod via Generalized Exp-Function Method

Muhammad Shakeel, Attaullah, Mohammed Kbiri Alaoui, Ahmed M. Zidan, Nehad Ali Shah and Wajaree Weera ()
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Muhammad Shakeel: Department of Mathematics, University of Wah, Wah Cantt 47040, Pakistan
Attaullah: Department of Mathematics, University of Wah, Wah Cantt 47040, Pakistan
Mohammed Kbiri Alaoui: Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
Ahmed M. Zidan: Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
Wajaree Weera: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2022, vol. 10, issue 18, 1-21

Abstract: In this study, the dispersal caused by the transverse Poisson’s effect in a magneto-electro-elastic (MEE) circular rod is taken into consideration using the nonlinear longitudinal wave equation (LWE), a mathematical physics problem. Using the generalized exp-function method, we investigate the families of solitary wave solutions of one-dimensional nonlinear LWE. Using the computer program Wolfram Mathematica 10, these new exact and solitary wave solutions of the LWE are derived as trigonometric function, periodic solitary wave, rational function, hyperbolic function, bright and dark solitons solutions, sinh, cosh, and sech 2 function solutions of the LWE. These solutions represent the electrostatic potential and pressure for LWE as well as the graphical representation of electrostatic potential and pressure.

Keywords: generalized exp (? ? ?( ? )) expansion method; exact solutions; new optical solitons; nonlinear longitudinal wave equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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