Dynamics of new optical solutions for nonlinear equations via a novel analytical technique

In this paper, new exact optical solutions of the Sharma-Tasso-Oliver (STO) equation, Pochhammer-Chree (PC) equation, and nonlinear elastic structural element of the large deflection equation (combined KdV-mKdV) will be found out by the using exponential function method. By assigning particular values to free parameters various exponential function solutions are obtained which have many applications. We plot 3D and 2D graphs to illustrate the characteristics of the numerical simulations of the computed analytical results under suitable conditions. The determined solutions are of possibly potential applications in the study of diverse fields like; the nonlinear dispersive model, the longitudinal vibration of the material in a thin, straight cylindrical rod, propagation of waves and other areas of physics, engineering and other applied sciences. The findings highlight that the suggested method is simple, efficient, and successful in determining the new exact soliton solution of nonlinear models in optics, engineering, and other nonlinear sciences.