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

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.

Automated summary

This study considers the dispersal caused by the transverse Poisson's effect in a magneto-electro-elastic circular rod using the nonlinear longitudinal wave equation (LWE). The families of solitary wave solutions of the one-dimensional nonlinear LWE are investigated using the generalized exp-function method.