A new fractional Biswas–Milovic model with its periodic soliton solutions

The present study introduces a general form of fractional Biswas–Milovic (FBM) equation. After this, some exact solutions for FBM equation are obtained by Exp-function and sine–cosine methods. This work illustrates the validity and great potential of the Exp-function and sine–cosine approaches for the nonlinear space–time fractional differential equations with complex valued solutions. One can see that the methods are relatively easy and efficient to use.