The expansion approach is used to find exact travelling wave solutions exp(-Φ(ζ )) to the Calogero-Bogoyavlenskii-Schiff (CBS) equation. Hyperbolic function solutions, trigonometric function solutions, and rational function solutions are all examples of travelling wave solutions. Mathematica software is used to create 3D and 2D charts from the acquired solutions, and the graphical behavior of the solutions is explored. Finally, the suggested method provides excellent mathematical tools for solving nonlinear evolution equations in mathematical physics. This approach is a more widespread and sophisticated mathematical algorithm for solving nonlinear partial differential equations with accurate solutions.