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In this article, we focus on securing the diferent soliton and other solutions in the magneto electro-elastic (MEE) circular rod. The abundant solutions of the nonlinear longitudinal wave equation (NLWE) with dispersion caused by the transverse Poisson’s efect in a long MEE circular rod are obtained using the modifed Sardar sub-equation method (MSSEM). The study of optical solitons’ nonlinear dynamics in MEE media (such as sensors, actuators, and controllers) has piqued researchers’ interest. The wave structures in diferent kinds of solitons, such as bright, dark, singular, bright-dark, bright-singular, complex, and combined, are extracted. In addition, hyperbolic, trigonometric, exponential type and periodic solutions are guaranteed. Nonlinear partial diferential equations (NLPDEs) are wellexplained by the applied technique since it ofers previously derived solutions and also extracts new exact solutions by incorporating the results of multiple procedures. Moreover, in explaining the physical representation of certain solutions, we also plot 3D, 2D, and contour graphs using the corresponding parameter values. This paper’s fndings can enhance the nonlinear dynamical behavior of a given system and demonstrate the efcacy of the employed methodology. We believe that a large number of specialists in engineering models will beneft from this research. The results indicate that the employed algorithm is efective, swift, concise, and applicable to complex systems. |