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 Expfunction 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.

Exp-function method; Sine–cosine method; Fractional order differential equation; (1+1)-Dimensional fractional Biswas–Milovic equation