Статья

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

Muhammad ShakeelDepartment of Mathematics, University of Wah, Wah Cantt 47040, PakistanAttaullah AttaullahDepartment of Mathematics, University of Wah, Wah Cantt 47040, PakistanMohammed Kbiri AlaouiDepartment of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi ArabiaAhmed M. ZidanDepartment of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi ArabiaNehad Ali ShahDepartment of Mechanical Engineering, Sejong University, Seoul 05006, KoreaWajaree WeeraDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

2022en

ABI

Аннотация

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 sech2 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.

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Идентификаторы

DOI: 10.3390/math10183400

Цитирования и источники

Цитирований: 2Использованных источников: 0

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