In this paper, the Riemann equation is used to examine accurate traveling-wave solutions of the dimensional generalized breaking soliton problem using the exp expansion method. Using the companionable wave transform, the equations are reduced to several ODEs. The ODE's consequence form is then used to exchange the expected solutions. The coefficients of like power of exp are compared to zero to determine the SAE. The relationships between the parameters are shown by solving this system. Unwavering explicitly are certain physical and composite solutions made up of tangent, cotangent, cosecant, hyperbolic tangent, hyperbolic cotangent, and hyperbolic cosecant functions. To understand the impact of b, a graphical representation of certain solutions is represented in some finite fields using Maple. As a result, we strongly recommend that the findings of this study be made public.