The recently introduced technique, namely the generalized exponential rational
function method, is applied to acquire some new exact optical solitons for the generalized
Benjamin–Bona–Mahony (GBBM) equation. Appropriately, we obtain many families of solutions for
the considered equation. To better understand of the physical features of solutions, some physical
interpretations of solutions are also included. We examined the symmetries of obtained solitary
waves solutions through figures. It is concluded that our approach is very efficient and powerful for
integrating different nonlinear pdes. All symbolic computations are performed in Maple package.