Extended G′G-expansion method for Calogero-Bogoyavlinskii-Schiff equation of fractional order

In this paper, we explore new applications of the extended G′G-expansion method. We apply this method to the nonlinear Calogero-Bogoyavlinskii-Schiff equation of fractional order. As results, some new exact traveling wave solutions are obtained which include solitary wave solutions. The traveling wave solutions are expressed by hyperbolic and trigonometric functions.