Construction of exact solutions in a magneto-electro-elastic circular rod

In this paper, we address the propagation of optical solitons through a magneto-electro-elastic media. We apply a variety of methods, namely the semi-inverse variational principle, sine–cosine function method, and rational sine–cosine function method to conduct this study. We obtain reliable exact solutions which are consistent with other results. The proposed analysis demonstrates reliability of the employed methods.