A study on stochastic longitudinal wave equation in a magneto-electro-elastic annular bar to find the analytical solutions

Abstract

In this paper, we set up dynamic solitary perturb solutions of a unidirectional stochastic longitudinal wave equation in a magneto-electro-elastic annular bar by a feasible, useful, and influential method named the dual -expansion method. Computer software, like Mathematica, is used to complete this discussion. The obtained solutions of the proposed equation are classified into trigonometric, hyperbolic, and rational types which play an important role in searching for numerous scientific events. The technique employed here is an extension of the ()-expansion technique for finding all previously discovered solutions. To illustrate our findings more clearly, we provide 2D and 3D charts of the various recovery methods. We then contrasted our findings with those of past solutions. The graphical illustrations of the acquired solutions are singular periodic solitons and kink solitons which are added at the end of this paper.