New Optical Solitons of the Longitudinal Wave Equation in a Magnetoelectro-Elastic Circular Rod

This paper studies a nonlinear partial differential equation known as the nonlinear longitudinal wave equation which describes the propagation of optical solitons in a magnetoelectro-elastic circular rod. Mentioned task is performed by solving this nonlinear equation using the well-designed modified Kudryashov method, producing a series of new optical solitons. The capability of the modified Kudryashov method in handling the nonlinear longitudinal wave equation in a magnetoelectro-elastic circular rod is confirmed.