This paper seeks to develop comprehensive soliton solutions by employing the generalized modified equal width (MEW) equation as the governing framework. To achieve that, we have chosen the (δ’⁄δ)-expansion approach, which is an effective, reliable, and compatible method. The outcomes achieved in this instance are defined in terms of a mix of rational, trigonometric, and hyperbolic functions. The corresponding physical features of these resultant soliton solutions and influence of parameters are presented by carving two-dimensional and three-dimensional and contour graphs by means of MATLAB. For estimated values of these parameters, bell-shaped soliton, singular soliton, parabolic soliton, periodic soliton and solitons of other types are formulated. By examining the solutions across carefully chosen parameter regimes, the work offers a clearer perspective on the system’s complex behavior. The results introduce new soliton phenomena and uncover previously unreported aspects of the governing equation.