Exact solutions of local fractional longitudinal wave equation in a magneto-electro-elastic circular rod in fractal media

In the present study, we apply an analytical scheme to acquire wave solutions of a partial differential equation involving a local fractional derivative. The main idea of this scheme is to generalize the procedure of the well-known generalized exponential rational function technique. To test the method, we have considered the local fractional longitudinal wave equation in a magneto-electro-elastic circular rod (MEECR). The graphical representation of some derived solutions is also shown. The suggested technique is an efficient way to solve such type of differential equations with local fractional derivative. One of the valuable features of the suggested method is the possibility of using it in solving other similar equations with local fractional derivative.