Solitary and periodic wave solutions of Calogero–Bogoyavlenskii–Schiff equation via exp-function methods

In this paper, some proficient techniques, called the exp-function method, modified exp-function method and improved modified exp-function method are implemented to compute generalized solitary and periodic wave solutions of the nonlinear Calogero–Bogoyavlenskii–Schiff equation. It has been attempted to show the compatibility and reliability of these mathematical techniques. The first partial differential equation is converted into an ordinary differential equation by a suitable transformation, then a trial solution is assumed. Results indicate complete consistency and effectiveness of the suggested schemes.